-
2
-
-
0004199721
-
-
3rd edn, McGraw-Hill, New York
-
Ahlfors, L. Complex Analysis, 3rd edn, McGraw-Hill, New York, 1979.
-
(1979)
Complex Analysis
-
-
Ahlfors, L.1
-
3
-
-
33644572993
-
Geometric analysis of f4 fields and ising models
-
Aizenman, M. Geometric analysis of f4 fields and Ising models, Communications in Mathematical Physics 86 (1982), 1–48.
-
(1982)
Communications in Mathematical Physics
, vol.86
, pp. 1-48
-
-
Aizenman, M.1
-
4
-
-
0007122530
-
-
(Xiamen 1995) (H. Bai-Lin, ed.), World Scientific
-
Aizenman, M. The geometry of critical percolation and conformal invariance, Proceedings STATPHYS 19 (Xiamen 1995) (H. Bai-Lin, ed.), World Scientific, 1996, pp. 104–120.
-
(1996)
The Geometry of Critical Percolation and Conformal Invariance, Proceedings STATPHYS
, vol.19
, pp. 104-120
-
-
Aizenman, M.1
-
5
-
-
0039094784
-
-
K. Golden, G. Grimmett, J. Richard, G. Milton, P. Sen, eds), IMA Volumes in Mathematics and its Applications, vol, Springer, New York
-
Aizenman, M. Scaling limit for the incipient infinite clusters, Mathematics of Multiscale Materials (K. Golden, G. Grimmett, J. Richard, G. Milton, P. Sen, eds), IMA Volumes in Mathematics and its Applications, vol. 99, Springer, New York, 1998, pp. 1–24.
-
(1998)
Scaling Limit for the Incipient Infinite Clusters, Mathematics of Multiscale Materials
, vol.99
, pp. 1-24
-
-
Aizenman, M.1
-
7
-
-
34250105066
-
The phase transition in a general class of ising-type models is sharp
-
Aizenman, M., Barsky, D. J., Fernández, R. The phase transition in a general class of Ising-type models is sharp, Journal of Statistical Physics 47 (1987), 343–374.
-
(1987)
Journal of Statistical Physics
, vol.47
, pp. 343-374
-
-
Aizenman, M.1
Barsky, D.J.2
Fernández, R.3
-
8
-
-
0001056718
-
Hölder regularity and dimension bounds for random curves
-
Aizenman, M., Burchard, A. Hölder regularity and dimension bounds for random curves, Duke Mathematical Journal 99 (1999), 419–453.
-
(1999)
Duke Mathematical Journal
, vol.99
, pp. 419-453
-
-
Aizenman, M.1
Burchard, A.2
-
9
-
-
0002205186
-
Discontinuity of themagnetization in one-dimensional 1/|x-y|2 ising and potts models
-
Aizenman, M., Burchard, A. Discontinuity of themagnetization in one-dimensional 1/|x-y|2 Ising and Potts models, Journal of Statistical Physics 50 (1988), 1–40.
-
(1988)
Journal of Statistical Physics
, vol.50
, pp. 1-40
-
-
Aizenman, M.1
Burchard, A.2
-
10
-
-
0000099356
-
On the critical behavior of the magnetization in high-dimensional ising models
-
Aizenman, M., Fernández, R. On the critical behavior of the magnetization in high-dimensional Ising models, Journal of Statistical Physics 44 (1986), 393–454.
-
(1986)
Journal of Statistical Physics
, vol.44
, pp. 393-454
-
-
Aizenman, M.1
Fernández, R.2
-
11
-
-
0001707493
-
Strict monotonicity for critical points in percolation and ferromagnetic models
-
Aizenman, M., Grimmett, G. R. Strict monotonicity for critical points in percolation and ferromagnetic models, Journal of Statistical Physics 63 (1991), 817–835.
-
(1991)
Journal of Statistical Physics
, vol.63
, pp. 817-835
-
-
Aizenman, M.1
Grimmett, G.R.2
-
12
-
-
52349084492
-
-
Springer, New York
-
Aizenman, M., Kesten, H., Newman, C. M. Uniqueness of the infinite cluster and related results in percolation, Percolation Theory and Ergodic Theory of Infinite Particle Systems (H. Kesten, ed.), IMA Volumes inMathematics and its Applications, vol. 8, Springer, New York, 1987, pp. 13–20.
-
(1987)
Uniqueness of the Infinite Cluster and Related Results in Percolation, Percolation Theory and Ergodic Theory of Infinite Particle Systems (H. Kesten, Ed.), IMA Volumes Inmathematics and Its Applications
, vol.8
, pp. 13-20
-
-
Aizenman, M.1
Kesten, H.2
Newman, C.M.3
-
13
-
-
0039713547
-
-
(R. Kotecký, ed.), World Scientific, Singapore
-
Aizenman, M., Klein, A., Newman, C. M. Percolation methods for disordered quantum Ising models, Phase Transitions: Mathematics, Physics, Biology,… (R. Kotecký, ed.), World Scientific, Singapore, 1992, pp. 129–137.
-
(1992)
Percolation Methods for Disordered Quantum Ising Models, Phase Transitions: Mathematics, Physics, Biology
, pp. 129-137
-
-
Aizenman, M.1
Klein, A.2
Newman, C.M.3
-
15
-
-
0001639861
-
Tree graph inequalities and critical behavior in percolationmodels
-
Aizenman, M., Newman, C. M. Tree graph inequalities and critical behavior in percolationmodels, Journal of Statistical Physics 36 (1984), 107–143.
-
(1984)
Journal of Statistical Physics
, vol.36
, pp. 107-143
-
-
Aizenman, M.1
Newman, C.M.2
-
16
-
-
0031483018
-
Brownian excursions, critical random graphs and the multiplicative coalescent
-
Aldous, D. J. Brownian excursions, critical random graphs and the multiplicative coalescent, Annals of Probability 25 (1997), 812–854.
-
(1997)
Annals of Probability
, vol.25
, pp. 812-854
-
-
Aldous, D.J.1
-
17
-
-
0000052835
-
The random walk construction of uniform spanning trees and uniform labelled trees
-
Aldous, D. J. The random walk construction of uniform spanning trees and uniform labelled trees, SIAM Journal of Discrete Mathematics 3 (1990), 450–465.
-
(1990)
SIAM Journal of Discrete Mathematics
, vol.3
, pp. 450-465
-
-
Aldous, D.J.1
-
20
-
-
2142695418
-
Mixing properties and exponential decay for lattice systems in finite volumes
-
Aldous, D., Fill, J. Mixing properties and exponential decay for lattice systems in finite volumes, Annals of Probability 32 (2004), 441–487.
-
(2004)
Annals of Probability
, vol.32
, pp. 441-487
-
-
Aldous, D.1
Fill, J.2
-
22
-
-
84972574511
-
Weighted sums of certain dependent random variables
-
Azuma, K. Weighted sums of certain dependent random variables, Tˆohoku Mathematics Journal 19 (1967), 357–367.
-
(1967)
Tˆohoku Mathematics Journal
, vol.19
, pp. 357-367
-
-
Azuma, K.1
-
26
-
-
0000898117
-
Inequalities in fourier analysis
-
Beckner, W. Inequalities in Fourier analysis, Annals of Mathematics 102 (1975), 159–182.
-
(1975)
Annals of Mathematics
, vol.102
, pp. 159-182
-
-
Beckner, W.1
-
27
-
-
77957365908
-
-
American Mathematical Society, Providence, RI
-
Beffara, V. Cardy, formula on the triangular lattice, the easy way, Universality and Renormalization, Fields Institute Communications, vol. 50, American Mathematical Society, Providence, RI, 2007, pp. 39–45.
-
(2007)
Formula on the Triangular Lattice, the Easy Way, Universality and Renormalization, Fields Institute Communications
, vol.50
, pp. 39-45
-
-
Beffara, V.C.1
-
29
-
-
77951815198
-
Exponential concentration for first passage percolation through modified poincaré inequalities, annales de l’institut henri poincaré
-
Benaïm, M., Rossignol, R. Exponential concentration for first passage percolation through modified Poincaré inequalities, Annales de l’Institut Henri Poincaré, Probabilités et Statistiques 44 (2008), 544–573.
-
(2008)
Probabilités Et Statistiques
, vol.44
, pp. 544-573
-
-
Benaïm, M.1
Rossignol, R.2
-
30
-
-
0002897287
-
-
Academic Press, New York
-
Ben-Or, M., Linial, N. Collective coin flipping, Randomness and Computation, Academic Press, New York, 1990, pp. 91–115.
-
(1990)
Collective Coin Flipping, Randomness and Computation
, pp. 91-115
-
-
Ben-Or, M.1
Linial, N.2
-
31
-
-
0346962333
-
First passage percolation has sublinear distance variance
-
Benjamini, I., Kalai, G., Schramm, O. First passage percolation has sublinear distance variance, Annals of Probability 31 (2003), 1970–1978.
-
(2003)
Annals of Probability
, vol.31
, pp. 1970-1978
-
-
Benjamini, I.1
Kalai, G.2
Schramm, O.3
-
32
-
-
0040434878
-
Uniform spanning forests
-
Benjamini, I., Lyons, R., Peres, Y., Schramm, O. Uniform spanning forests, Annals of Probability 29 (2001), 1–65.
-
(2001)
Annals of Probability
, vol.29
, pp. 1-65
-
-
Benjamini, I.1
Lyons, R.2
Peres, Y.3
Schramm, O.4
-
33
-
-
84934830089
-
-
(R. T. Durrett, ed.), Contemporary Mathematics no. 41, American Mathematical Society, Providence, R. I
-
van den Berg, J. Disjoint occurrences of events: results and conjectures, Particle Systems, Random Media and Large Deviations (R. T. Durrett, ed.), Contemporary Mathematics no. 41, American Mathematical Society, Providence, R. I., 1985, pp. 357–361.
-
(1985)
Disjoint Occurrences of Events: Results and Conjectures, Particle Systems, Random Media and Large Deviations
, pp. 357-361
-
-
Van Den Berg, J.1
-
34
-
-
53049084049
-
Approximate zero–one laws and sharpness of the percolation transition in a class of models including 2d ising percolation
-
vand en Berg, J. Approximate zero–one laws and sharpness of the percolation transition in a class of models including 2D Ising percolation, Annals of Probability 36 (2008), 1880–1903.
-
(2008)
Annals of Probability
, vol.36
, pp. 1880-1903
-
-
Vand En Berg, J.1
-
35
-
-
0022116584
-
Van den, kesten, h. Inequalities with applications to percolation and reliability
-
Berg, J. van den, Kesten, H. Inequalities with applications to percolation and reliability, Journal of Applied Probability 22 (1985), 556–569.
-
(1985)
Journal of Applied Probability
, vol.22
, pp. 556-569
-
-
Berg, J.1
-
37
-
-
0000236076
-
Exponential decay for subcritical contact and percolation processes
-
Bezuidenhout, C. E., Grimmett, G. R. Exponential decay for subcritical contact and percolation processes, Annals of Probability 19 (1991), 984–1009.
-
(1991)
Annals of Probability
, vol.19
, pp. 984-1009
-
-
Bezuidenhout, C.E.1
Grimmett, G.R.2
-
38
-
-
0033196025
-
Central limit theorem for random walks in random labyrinths, annales de l’institut henri poincaré
-
Bezuidenhout, C. E., Grimmett, G. R. A central limit theorem for random walks in random labyrinths, Annales de l’Institut Henri Poincaré, Probabilités et Statistiques 35 (1999), 631–683.
-
(1999)
Probabilités Et Statistiques
, vol.35
, pp. 631-683
-
-
Bezuidenhout, C.E.1
Grimmett, G.2
-
41
-
-
70349327737
-
The phase transition of the quantum ising model is sharp
-
Björnberg, J. E., Grimmett, G. R. The phase transition of the quantum Ising model is sharp, Journal of Statistical Physics 136 (2009), 231–273.
-
(2009)
Journal of Statistical Physics
, vol.136
, pp. 231-273
-
-
Björnberg, J.E.1
Grimmett, G.R.2
-
42
-
-
0002909354
-
The chromatic number of random graphs
-
Bollobás, B. The chromatic number of random graphs, Combinatorica 8 (1988), 49–55.
-
(1988)
Combinatorica
, vol.8
, pp. 49-55
-
-
Bollobás, B.1
-
44
-
-
11944253901
-
-
2nd edn, Cambridge University Press, Cambridge
-
Bollobás, B. Random Graphs, 2nd edn, Cambridge University Press, Cambridge, 2001.
-
(2001)
Random Graphs
-
-
Bollobás, B.1
-
45
-
-
0030543828
-
The random-cluster process on the complete graph
-
Bollobás, B., Grimmett, G. R., Janson, S. The random-cluster process on the complete graph, Probability Theory and Related Fields 104 (1996), 283–317.
-
(1996)
Probability Theory and Related Fields
, vol.104
, pp. 283-317
-
-
Bollobás, B.1
Grimmett, G.R.2
Janson, S.3
-
46
-
-
33747878479
-
The critical probability for random voronoi percolation in the plane is 1/2
-
Bollobás, B., Riordan, O. The critical probability for random Voronoi percolation in the plane is 1/2, Probability Theory and Related Fields 136 (2006), 417–468.
-
(2006)
Probability Theory and Related Fields
, vol.136
, pp. 417-468
-
-
Bollobás, B.1
Riordan, O.2
-
49
-
-
0000781699
-
ÉTude des coefficients de fourier des fonctions de l p(g)
-
Bonami, A. Étude des coefficients de Fourier des fonctions de L p(G), Annales de l’Institut Fourier 20 (1970), 335–402.
-
(1970)
Annales De l’Institut Fourier
, vol.20
, pp. 335-402
-
-
Bonami, A.1
-
50
-
-
8744267754
-
-
(M. Bramson, R. T. Durrett, eds), Birkhäuser, Boston
-
Borgs, C., Chayes, J. T., Randall, R. The van-den-Berg–Kesten–Reimer inequality: a review, Perplexing Problems in Probability (M. Bramson, R. T. Durrett, eds), Birkhäuser, Boston, 1999, pp. 159–173.
-
(1999)
The van-den-Berg–Kesten–Reimer Inequality: A Review, Perplexing Problems in Probability
, pp. 159-173
-
-
Borgs, C.1
Chayes, J.T.2
Randall, R.3
-
51
-
-
51249165087
-
The influence of variables in product spaces
-
Bourgain, J., Kahn, J., Kalai, G., Katznelson, Y., Linial, N. The influence of variables in product spaces, Israel Journal ofMathematics 77 (1992), 55–64.
-
(1992)
Israel Journal Ofmathematics
, vol.77
, pp. 55-64
-
-
Bourgain, J.1
Kahn, J.2
Kalai, G.3
Katznelson, Y.4
Linial, N.5
-
52
-
-
84975960846
-
Crystals and mazes
-
Broadbent, S. R., Hammersley, J. M. Percolation processes I. Crystals and mazes, Proceedings of the Cambridge Philosophical Society 53 (1957), 629–641.
-
(1957)
Proceedings of the Cambridge Philosophical Society
, vol.53
, pp. 629-641
-
-
Broadbent, S.R.1
Hammersley, J.M.2
Percolation Processes, I.3
-
53
-
-
0024766764
-
-
30th IEEE Symposium on Foundations of Computer Science
-
Broder, A. Z. Generating random spanning trees, 30th IEEE Symposium on Foundations of Computer Science (1989), 442–447.
-
(1989)
Generating Random Spanning Trees
, pp. 442-447
-
-
Broder, A.Z.1
-
54
-
-
0000402056
-
On the distinction between the conditional probability and joint probability approaches in the specification of nearest-neighbour systems
-
Brook, D. On the distinction between the conditional probability and joint probability approaches in the specification of nearest-neighbour systems, Biometrika 51 (1964), 481–483.
-
(1964)
Biometrika
, vol.51
, pp. 481-483
-
-
Brook, D.1
-
56
-
-
4344576881
-
Continuum nonsimple loops and 2d critical percolation
-
Camia, F., Newman, C. M. Continuum nonsimple loops and 2D critical percolation, Journal of Statistical Physics 116 (2004), 157–173.
-
(2004)
Journal of Statistical Physics
, vol.116
, pp. 157-173
-
-
Camia, F.1
Newman, C.M.2
-
57
-
-
33749356449
-
Two-dimensional critical percolation: The full scaling limit
-
Camia, F., Newman, C. M. Two-dimensional critical percolation: the full scaling limit, Communications in Mathematical Physics 268 (2006), 1–38.
-
(2006)
Communications in Mathematical Physics
, vol.268
, pp. 1-38
-
-
Camia, F.1
Newman, C.M.2
-
58
-
-
34547143925
-
Critical percolation exploration path and sle6: A proof of convergence
-
Camia, F., Newman, C. M. Critical percolation exploration path and SLE6: a proof of convergence, Probability Theory and Related Fields 139 (2007), 473–519.
-
(2007)
Probability Theory and Related Fields
, vol.139
, pp. 473-519
-
-
Camia, F.1
Newman, C.M.2
-
60
-
-
79959508484
-
-
(J. Picard, ed.), Lecture Notes in Mathematics, Springer, Berlin
-
Cerf, R. The Wulff crystal in Ising and percolation models, Ecole d’Eté de Probabilités de Saint Flour XXXIV–2004 (J. Picard, ed.), Lecture Notes in Mathematics, vol. 1878, Springer, Berlin, 2006.
-
(2006)
The Wulff Crystal in Ising and Percolation Models, Ecole d’Eté De Probabilités De Saint Flour XXXIV–2004
, vol.1878
-
-
Cerf, R.1
-
61
-
-
0034214575
-
On the wulff crystal in the ising model
-
Cerf, R., Pisztora, Á. On the Wulff crystal in the Ising model, Annals of Probability 28 (2000), 947–1017.
-
(2000)
Annals of Probability
, vol.28
, pp. 947-1017
-
-
Cerf, R.1
Pisztora, A.2
-
62
-
-
0042238349
-
Pisztora, Á. Phase coexistence in ising, potts and percolation models, annales de l’institut henri poincaré
-
Cerf, R., Pisztora, Á. Phase coexistence in Ising, Potts and percolation models, Annales de l’Institut Henri Poincaré, Probabilités et Statistiques 37 (2001), 643–724.
-
(2001)
Probabilités Et Statistiques
, vol.37
, pp. 643-724
-
-
Cerf, R.1
-
63
-
-
0007093634
-
-
(K. Osterwalder, R. Stora, eds), Les Houches, Session XLIII, 1984, Elsevier, Amsterdam
-
Chayes, J. T., Chayes, L. Percolation and random media, Critical Phenomena, Random Systems and Gauge Theories (K. Osterwalder, R. Stora, eds), Les Houches, Session XLIII, 1984, Elsevier, Amsterdam, 1986a, pp. 1001–1142.
-
(1986)
Percolation and Random Media, Critical Phenomena, Random Systems and Gauge Theories
, pp. 1001-1142
-
-
Chayes, J.T.1
Chayes, L.2
-
64
-
-
0002809876
-
The correlation length for the high density phase of bernoulli percolation
-
Chayes, J. T., Chayes, L., Grimmett, G. R., Kesten, H., Schonmann, R. H. The correlation length for the high density phase of Bernoulli percolation, Annals of Probability 17 (1989), 1277–1302.
-
(1989)
Annals of Probability
, vol.17
, pp. 1277-1302
-
-
Chayes, J.T.1
Chayes, L.2
Grimmett, G.R.3
Kesten, H.4
Schonmann, R.H.5
-
65
-
-
0038077194
-
Bernoulli percolation above threshold: An invasion percolation analysis
-
Chayes, J. T., Chayes, L., Newman, C. M. Bernoulli percolation above threshold: an invasion percolation analysis, Annals of Probability 15 (1987), 1272–1287.
-
(1987)
Annals of Probability
, vol.15
, pp. 1272-1287
-
-
Chayes, J.T.1
Chayes, L.2
Newman, C.M.3
-
66
-
-
34347351039
-
Cardy’s formula for certain models of the bond–triangular type
-
Chayes, L., Lei, H. K. Cardy’s formula for certain models of the bond–triangular type, Reviews in Mathematical Physics 19 (2007), 511–565.
-
(2007)
Reviews in Mathematical Physics
, vol.19
, pp. 511-565
-
-
Chayes, L.1
Lei, H.K.2
-
68
-
-
0039650029
-
-
G. R. Grimmett, D. J. A. Welsh, eds), Oxford University Press, Oxford
-
Clifford, P. Markov random fields in statistics, Disorder in Physical Systems (G. R. Grimmett, D. J. A. Welsh, eds), Oxford University Press, Oxford, 1990, pp. 19–32.
-
(1990)
Markov Random Fields in Statistics, Disorder in Physical Systems
, pp. 19-32
-
-
Clifford, P.1
-
69
-
-
77952092824
-
Random current representation for transverse field ising model
-
Crawford, N., Ioffe, D. Random current representation for transverse field Ising model, Communications in Mathematical Physics 296 (2010), 447–474.
-
(2010)
Communications in Mathematical Physics
, vol.296
, pp. 447-474
-
-
Crawford, N.1
Ioffe, D.2
-
70
-
-
0001722765
-
Gibbs state describing coexistence of phases for a three–dimensional ising model
-
Dobrushin, R. L. Gibbs state describing coexistence of phases for a three–dimensional Ising model, Theory of Probability and its Applications 18 (1972), 582–600.
-
(1972)
Theory of Probability and Its Applications
, vol.18
, pp. 582-600
-
-
Dobrushin, R.L.1
-
71
-
-
0002007593
-
Exposé de la théorie des chaïnes simples constantes de markoff `a un nombre fini d’états
-
Doeblin, W. Exposé de la théorie des chaïnes simples constantes de Markoff `a un nombre fini d’états, RevueMathématique de l’Union Interbalkanique 2 (1938), 77–105.
-
(1938)
RevueMathématique De l’Union Interbalkanique
, vol.2
, pp. 77-105
-
-
Doeblin, W.1
-
72
-
-
84924522976
-
-
Mathematical Association of America, Washington, DC
-
Doyle, P. G., Snell, J. L. Random Walks and Electric Networks, Carus Mathematical Monographs, vol. 22, Mathematical Association of America, Washington, DC, 1984.
-
(1984)
Random Walks and Electric Networks, Carus Mathematical Monographs
, vol.22
-
-
Doyle, P.G.1
Snell, J.L.2
-
75
-
-
84898478538
-
-
“diverse and undulating”, Einstein, 1905–2005, Poincaré Seminar 1 (2005) (T. Damour, O. Darrigol, B. Duplantier, V. Rivasseau, eds), Progress inMathematical Physics, Birkhäuser, Boston
-
Duplantier, B. Brownian motion, “diverse and undulating”, Einstein, 1905–2005, Poincaré Seminar 1 (2005) (T. Damour, O. Darrigol, B. Duplantier, V. Rivasseau, eds), Progress inMathematical Physics, vol. 47, Birkhäuser, Boston, 2006, pp. 201–293.
-
(2006)
Brownian Motion
, vol.47
, pp. 201-293
-
-
Duplantier, B.1
-
76
-
-
0000221088
-
On the growth of one-dimensional contact processes
-
Durrett, R. T. On the growth of one-dimensional contact processes, Annals of Probability 8 (1980), 890–907.
-
(1980)
Annals of Probability
, vol.8
, pp. 890-907
-
-
Durrett, R.T.1
-
77
-
-
0000808186
-
Oriented percolation in two dimensions
-
Durrett, R. T. Oriented percolation in two dimensions, Annals of Probability 12 (1984), 999-1040.
-
(1984)
Annals of Probability
, vol.12
, pp. 999-1040
-
-
Durrett, R.T.1
-
78
-
-
84924523473
-
-
(W. E. Kohler, B. S. White, eds), American Mathematical Society, Providence, R. I
-
Durrett, R. T. The contact process, 1974–1989, Mathematics of Random Media (W. E. Kohler, B. S. White, eds), American Mathematical Society, Providence, R. I., 1992, pp. 1–18.
-
(1992)
The Contact Process, 1974–1989, Mathematics of Random Media
, pp. 1-18
-
-
Durrett, R.T.1
-
79
-
-
84929729015
-
-
Cambridge University Press, Cambridge
-
Durrett, R. T. Random Graph Dynamics, Cambridge University Press, Cambridge, 2007.
-
(2007)
Random Graph Dynamics
-
-
Durrett, R.T.1
-
80
-
-
0039672580
-
-
(H.Kesten, ed.), Springer, NewYork
-
Durrett, R., Schonmann, R. H. Stochastic growth models, Percolation Theory and Ergodic Theory of InfiniteParticle Systems (H.Kesten, ed.), Springer, NewYork, 1987, pp. 85–119.
-
(1987)
Stochastic Growth Models, Percolation Theory and Ergodic Theory of Infiniteparticle Systems
, pp. 85-119
-
-
Durrett, R.1
Schonmann, R.H.2
-
81
-
-
84924522975
-
-
Collected Scientific Papers (M. J. Klein, ed.), North-Holland, Amsterdam
-
Ehrenfest, P. Collected Scientific Papers (M. J. Klein, ed.), North-Holland, Amsterdam, 1959.
-
(1959)
-
-
Ehrenfest, P.1
-
84
-
-
35348843588
-
Edge-isoperimetric inequalities and influences, combinatorics
-
Falik, D., Samorodnitsky, A. Edge-isoperimetric inequalities and influences, Combinatorics, Probability, Computing 16 (2007), 693–712.
-
(2007)
Probability, Computing
, vol.16
, pp. 693-712
-
-
Falik, D.1
Samorodnitsky, A.2
-
85
-
-
0026963438
-
-
ACM, New York
-
Feder, T., Mihail, M. Balanced matroids, Proceedings of the 24th ACMSymposium on the Theory of Computing, ACM, New York, 1992, pp. 26–38.
-
(1992)
Balanced Matroids, Proceedings of the 24Th Acmsymposium on the Theory of Computing
, pp. 26-38
-
-
Feder, T.1
Mihail, M.2
-
86
-
-
33646754970
-
Scaling limit for the space–time covariance of the stationary totally asymmetric simple exclusion process
-
Ferrari, P. L., Spohn, H. Scaling limit for the space–time covariance of the stationary totally asymmetric simple exclusion process, Communications in Mathematical Physics 265 (2006), 1–44.
-
(2006)
Communications in Mathematical Physics
, vol.265
, pp. 1-44
-
-
Ferrari, P.L.1
Spohn, H.2
-
87
-
-
34547344135
-
On the random-cluster model, Ph.D. thesis, university of leiden
-
Fortuin, C. M. On the random-cluster model, Ph.D. thesis, University of Leiden (1971). Onthe random-cluster model. II. The percolationmodel, Physica 58 (1972), 393–418.
-
(1971)
Onthe Random-Cluster Model. II. the Percolationmodel, Physica
, vol.58
, Issue.1972
, pp. 393-418
-
-
Fortuin, C.M.1
-
88
-
-
33749860660
-
On the random-cluster model. III. The simple random-cluster process
-
Fortuin, C. M. On the random-cluster model. III. The simple random-cluster process, Physica 59 (1972), 545–570.
-
(1972)
Physica
, vol.59
, pp. 545-570
-
-
Fortuin, C.M.1
-
89
-
-
0041855748
-
On the random-cluster model. I. Introduction and relation to other models
-
Fortuin, C. M., Kasteleyn, P. W. On the random-cluster model. I. Introduction and relation to other models, Physica 57 (1972), 536–564.
-
(1972)
Physica
, vol.57
, pp. 536-564
-
-
Fortuin, C.M.1
Kasteleyn, P.W.2
-
90
-
-
0002748055
-
Correlation inequalities on some partially ordered sets
-
Fortuin, C. M., Kasteleyn, P. W., Ginibre, J. Correlation inequalities on some partially ordered sets, Communications in Mathematical Physics 22 (1971), 89–103.
-
(1971)
Communications in Mathematical Physics
, vol.22
, pp. 89-103
-
-
Fortuin, C.M.1
Kasteleyn, P.W.2
Ginibre, J.3
-
91
-
-
3142607398
-
Kkl and bkkkl revisited, combinatorics, probability
-
Friedgut, E. Influences in product spaces
-
Friedgut, E. Influences in product spaces: KKL and BKKKL revisited, Combinatorics, Probability, Computing 13 (2004), 17–29.
-
(2004)
Computing
, vol.13
, pp. 17-29
-
-
-
96
-
-
0001286998
-
Reduced density matrices of the anisotropic heisenberg model
-
Ginibre, J. Reduced density matrices of the anisotropic Heisenberg model, Communications in Mathematical Physics 10 (1968), 140–154.
-
(1968)
Communications in Mathematical Physics
, vol.10
, pp. 140-154
-
-
Ginibre, J.1
-
97
-
-
11644279337
-
Time-dependent statistics of the ising model
-
Glauber, R. J. Time-dependent statistics of the Ising model, Journal of Mathematical Physics 4 (1963), 294–307.
-
(1963)
Journal of Mathematical Physics
, vol.4
, pp. 294-307
-
-
Glauber, R.J.1
-
99
-
-
33845504705
-
Influence and sharp-threshold theorems for monotonic measures
-
Graham, B. T., Grimmett, G. R. Influence and sharp-threshold theorems for monotonic measures, Annals of Probability 34 (2006), 1726–1745.
-
(2006)
Annals of Probability
, vol.34
, pp. 1726-1745
-
-
Graham, B.T.1
Grimmett, G.R.2
-
101
-
-
0012582012
-
De la reggeon field theory (Schögl’s first model) on a lattice
-
Grassberger, P., Torre, A. de la Reggeon field theory (Schögl’s first model) on a lattice: Monte Carlo calculations of critical behaviour, Annals of Physics 122 (1979), 373–396.
-
(1979)
Monte Carlo Calculations of Critical Behaviour, Annals of Physics
, vol.122
, pp. 373-396
-
-
Grassberger, P.1
Torre, A.2
-
103
-
-
21344436631
-
The stochastic random-cluster process and the uniqueness of randomcluster measures
-
Grimmett, G. R. The stochastic random-cluster process and the uniqueness of randomcluster measures, Annals of Probability 23 (1995), 1461–1510.
-
(1995)
Annals of Probability
, vol.23
, pp. 1461-1510
-
-
Grimmett, G.R.1
-
104
-
-
0000830941
-
-
(P. Bernard, ed.), Lecture Notes in Mathematics, vol. 1665, Springer, Berlin
-
Grimmett, G. R. Percolation and disordered systems, Ecole d’Eté de Probabilités de Saint Flour XXVI–1996 (P. Bernard, ed.), Lecture Notes in Mathematics, vol. 1665, Springer, Berlin, 1997, pp. 153–300.
-
(1997)
Percolation and Disordered Systems, Ecole d’Eté De Probabilités De Saint Flour XXVI–1996
, pp. 153-300
-
-
Grimmett, G.R.1
-
105
-
-
0004246476
-
-
2nd edition, Springer, Berlin
-
Grimmett, G. R. Percolation, 2nd edition, Springer, Berlin, 1999.
-
(1999)
Percolation
-
-
Grimmett, G.R.1
-
106
-
-
84924507668
-
-
(M. Picardello, W. Woess, eds), Cambridge University Press, Cambridge
-
Grimmett, G. R. Stochastic pin-ball, Random Walks and Discrete Potential Theory (M. Picardello, W. Woess, eds), Cambridge University Press, Cambridge, 1999.
-
(1999)
Stochastic Pin-Ball, Random Walks and Discrete Potential Theory
-
-
Grimmett, G.R.1
-
107
-
-
0035606135
-
Infinite paths in randomly oriented lattices
-
Grimmett, G. R. Infinite paths in randomly oriented lattices, Random Structures and Algorithms 18 (2001), 257–266.
-
(2001)
Random Structures and Algorithms
, vol.18
, pp. 257-266
-
-
Grimmett, G.R.1
-
109
-
-
67349085982
-
-
V. Sidoravicius, M. E. Vares, eds), Progress in Probability, vol. 60, Birkhäuser, Boston
-
Grimmett, G. R. Space–time percolation, In and Out of Equilibrium 2 (V. Sidoravicius, M. E. Vares, eds), Progress in Probability, vol. 60, Birkhäuser, Boston, 2008, pp. 305–320.
-
(2008)
Space–time Percolation, in and out of Equilibrium
, vol.2
, pp. 305-320
-
-
Grimmett, G.R.1
-
110
-
-
84924442268
-
-
(N. H. Bingham, C. M. Goldie, eds), Cambridge University Press, Cambridge
-
Grimmett, G. R. Three problems for the clairvoyant demon, Probability and Mathematical Genetics (N. H. Bingham, C. M. Goldie, eds), Cambridge University Press, Cambridge, 2010, pp. 379–395.
-
(2010)
Three Problems for the Clairvoyant Demon, Probability and Mathematical Genetics
, pp. 379-395
-
-
Grimmett, G.R.1
-
111
-
-
0002977776
-
-
(V. Sidoravicius, ed.), Progress in Probability, Birkhäuser, Boston
-
Grimmett, G. R., Hiemer, P. Directed percolation and random walk, In and Out of Equilibrium (V. Sidoravicius, ed.), Progress in Probability, vol. 51, Birkhäuser, Boston, 2002, pp. 273–297.
-
(2002)
Directed Percolation and Random Walk, in and out of Equilibrium
, vol.51
, pp. 273-297
-
-
Grimmett, G.R.1
Hiemer, P.2
-
113
-
-
21144462102
-
Random walk on the infinite cluster of the percolation model
-
Grimmett, G. R., Kesten, H., Zhang, Y. Random walk on the infinite cluster of the percolation model, Probability Theory and Related Fields 96 (1993), 33–44.
-
(1993)
Probability Theory and Related Fields
, vol.96
, pp. 33-44
-
-
Grimmett, G.R.1
Kesten, H.2
Zhang, Y.3
-
114
-
-
0001626028
-
The supercritical phase of percolation is well behaved
-
Grimmett, G. R., Marstrand, J. M. The supercritical phase of percolation is well behaved, Proceedings of the Royal Society (London), Series A 430 (1990), 439–457.
-
(1990)
Proceedings of the Royal Society (London), Series A
, vol.430
, pp. 439-457
-
-
Grimmett, G.R.1
Marstrand, J.M.2
-
116
-
-
0001948731
-
Random walks in random labyrinths
-
Grimmett, G. R., Menshikov, M. V., Volkov, S. E. Random walks in random labyrinths, Markov Processes and Related Fields 2 (1996), 69–86.
-
(1996)
Markov Processes and Related Fields
, vol.2
, pp. 69-86
-
-
Grimmett, G.R.1
Menshikov, M.V.2
Volkov, S.E.3
-
117
-
-
67549143668
-
Entanglement in the quantum ising model
-
Grimmett, G. R., Osborne, T. J., Scudo, P. F. Entanglement in the quantum Ising model, Journal of Statistical Physics 131 (2008), 305–339.
-
(2008)
Journal of Statistical Physics
, vol.131
, pp. 305-339
-
-
Grimmett, G.R.1
Osborne, T.J.2
Scudo, P.F.3
-
118
-
-
0031493842
-
Decay of correlations in subcritical potts and random-cluster models
-
Grimmett, G. R., Piza, M. S. T. Decay of correlations in subcritical Potts and random-cluster models, Communications in Mathematical Physics 189 (1997), 465–480.
-
(1997)
Communications in Mathematical Physics
, vol.189
, pp. 465-480
-
-
Grimmett, G.R.1
Piza, M.2
-
119
-
-
0032237818
-
Critical probabilities for site and bond percolation models
-
Grimmett, G. R., Stacey, A. M. Critical probabilities for site and bond percolation models, Annals of Probability 26 (1998), 1788–1812.
-
(1998)
Annals of Probability
, vol.26
, pp. 1788-1812
-
-
Grimmett, G.R.1
Stacey, A.M.2
-
121
-
-
0004285163
-
-
Oxford University Press, Oxford
-
Grimmett, G. R., Welsh, D. J. A. Probability, an Introduction, Oxford University Press, Oxford, 1986.
-
(1986)
Probability, an Introduction
-
-
Grimmett, G.R.1
Welsh, D.2
-
123
-
-
11144283653
-
Negative association in uniform forests and connected graphs
-
Grimmett, G. R., Winkler, S. N. Negative association in uniform forests and connected graphs, Random Structures and Algorithms 24 (2004), 444–460.
-
(2004)
Random Structures and Algorithms
, vol.24
, pp. 444-460
-
-
Grimmett, G.R.1
Winkler, S.N.2
-
124
-
-
0001429116
-
Logarithmic sobolev inequalities
-
Gross, L. Logarithmic Sobolev inequalities, American Journal of Mathematics 97 (1975), 1061–1083.
-
(1975)
American Journal of Mathematics
, vol.97
, pp. 1061-1083
-
-
Gross, L.1
-
127
-
-
0000762350
-
Percolation processes. Lower bounds for the critical probability
-
Hammersley, J. M. Percolation processes. Lower bounds for the critical probability, Annals of Mathematical Statistics 28 (1957), 790–795.
-
(1957)
Annals of Mathematical Statistics
, vol.28
, pp. 790-795
-
-
Hammersley, J.M.1
-
130
-
-
0002049581
-
-
(J. Neyman, L. LeCam, eds), Springer, Berlin
-
Hammersley, J.M., Welsh, D. J. A. First-passage percolation, subadditive processes, stochastic networks and generalized renewal theory, Bernoulli, Bayes, Laplace Anniversary Volume (J. Neyman, L. LeCam, eds), Springer, Berlin, 1965, pp. 61–110.
-
(1965)
First-Passage Percolation, Subadditive Processes, Stochastic Networks and Generalized Renewal Theory, Bernoulli, Bayes, Laplace Anniversary Volume
, pp. 61-110
-
-
Hammersley, J.M.1
Welsh, D.2
-
131
-
-
34249952953
-
Mean-field critical behaviour for percolation in high dimensions
-
Hara, T., Slade, G. Mean-field critical behaviour for percolation in high dimensions, Communications in Mathematical Physics 128 (1990), 333–391.
-
(1990)
Communications in Mathematical Physics
, vol.128
, pp. 333-391
-
-
Hara, T.1
Slade, G.2
-
132
-
-
0003353103
-
-
(G. R. Grimmett, ed.), Kluwer, Dordrecht
-
Hara, T., Slade, G. Mean-field behaviour and the lace expansion, Probability and Phase Transition (G. R. Grimmett, ed.), Kluwer, Dordrecht, 1994, pp. 87–122.
-
(1994)
Mean-Field Behaviour and the Lace Expansion, Probability and Phase Transition
, pp. 87-122
-
-
Hara, T.1
Slade, G.2
-
133
-
-
0035632192
-
Nontrivial phase transition in a continuum mirror model
-
Harris, M. Nontrivial phase transition in a continuum mirror model, Journal of Theoretical Probability 14 (2001), 299-317.
-
(2001)
Journal of Theoretical Probability
, vol.14
, pp. 299-317
-
-
Harris, M.1
-
134
-
-
0002446794
-
A lower bound for the critical probability in a certain percolation process
-
Harris, T. E. A lower bound for the critical probability in a certain percolation process, Proceedings of the Cambridge Philosophical Society 56 (1960), 13–20.
-
(1960)
Proceedings of the Cambridge Philosophical Society
, vol.56
, pp. 13-20
-
-
Harris, T.E.1
-
135
-
-
0000829680
-
Contact interactions on a lattice
-
Harris, T. E. Contact interactions on a lattice, Annals of Probability 2 (1974), 969–988.
-
(1974)
Annals of Probability
, vol.2
, pp. 969-988
-
-
Harris, T.E.1
-
136
-
-
21344488911
-
A sharp transition for the two-dimensional ising percolation
-
Higuchi, Y. A sharp transition for the two-dimensional Ising percolation, Probability Theory and Related Fields 97 (1993), 489–514.
-
(1993)
Probability Theory and Related Fields
, vol.97
, pp. 489-514
-
-
Higuchi, Y.1
-
137
-
-
0001004220
-
Exact results for the potts model in two dimensions
-
Hintermann, A., Kunz, H., Wu, F. Y. Exact results for the Potts model in two dimensions, Journal of Statistical Physics 19 (1978), 623–632.
-
(1978)
Journal of Statistical Physics
, vol.19
, pp. 623-632
-
-
Hintermann, A.1
Kunz, H.2
Wu, F.Y.3
-
138
-
-
84947403595
-
Probability inequalities for sums of bounded random variables
-
Hoeffding, W. Probability inequalities for sums of bounded random variables, Journal of the American Statistical Association 58 (1963), 13–30.
-
(1963)
Journal of the American Statistical Association
, vol.58
, pp. 13-30
-
-
Hoeffding, W.1
-
140
-
-
0003932514
-
-
Random Walks, Oxford University Press, Oxford
-
Hughes, B. D. Random Walks and Random Environments, Volume 1, Random Walks, Oxford University Press, Oxford, 1996.
-
(1996)
Random Walks and Random Environments
, vol.1
-
-
Hughes, B.D.1
-
141
-
-
33947716431
-
Beitrag zurtheorie des ferromagnetismus
-
Ising, E. Beitrag zurTheorie des Ferromagnetismus, Zeitschrift fürPhysik 31 (1925), 253–258.
-
(1925)
Zeitschrift fürPhysik
, vol.31
, pp. 253-258
-
-
Ising, E.1
-
142
-
-
84990671427
-
The birth of the giant component
-
Janson, S., Knuth, D., Luczak, T., Pittel, B. The birth of the giant component, Random Structures and Algorithms 4 (1993), 233–358.
-
(1993)
Random Structures and Algorithms
, vol.4
, pp. 233-358
-
-
Janson, S.1
Knuth, D.2
Luczak, T.3
Pittel, B.4
-
143
-
-
0003616602
-
-
Wiley, New York
-
Janson, S., Luczak, T., Rucinski, A. Random Graphs, Wiley, New York, 2000.
-
(2000)
Random Graphs
-
-
Janson, S.1
Luczak, T.2
Rucinski, A.3
-
144
-
-
0024140061
-
The influence of variables on boolean functions, proceedings of 29th symposium on the foundations of computer science
-
Kahn, J., Kalai, G., Linial, N. The influence of variables on Boolean functions, Proceedings of 29th Symposium on the Foundations of Computer Science, Computer Science Press, 1988, pp. 68–80.
-
(1988)
Computer Science Press
, pp. 68-80
-
-
Kahn, J.1
Kalai, G.2
Linial, N.3
-
146
-
-
33745660647
-
-
(A. G. Percus, G. Istrate, C. Moore, eds), Oxford University Press, New York
-
Kalai, G., Safra, S. Threshold phenomena and influence, Computational Complexity and Statistical Physics (A. G. Percus, G. Istrate, C. Moore, eds), Oxford University Press, New York, 2006.
-
(2006)
Threshold Phenomena and Influence, Computational Complexity and Statistical Physics
-
-
Kalai, G.1
Safra, S.2
-
147
-
-
0002862954
-
Phase transitions in lattice systems with random local properties
-
Kasteleyn, P.W., Fortuin, C. M. Phase transitions in lattice systems with random local properties, Journal of the Physical Society of Japan 26 (1969), 11–14, Supplement.
-
(1969)
Journal of the Physical Society of Japan
, vol.26
, pp. 11-14
-
-
Kasteleyn, P.W.1
Fortuin, C.M.2
-
148
-
-
0002772850
-
Interval exchange transformations
-
Keane, M. Interval exchange transformations, Mathematische Zeitschrift 141 (1975), 25–31.
-
(1975)
Mathematische Zeitschrift
, vol.141
, pp. 25-31
-
-
Keane, M.1
-
150
-
-
0002697969
-
The critical probability of bond percolation on the square lattice equals 1 2
-
Kesten, H. The critical probability of bond percolation on the square lattice equals 1 2, Communications in Mathematical Physics 74 (1980a), 41–59.
-
(1980)
Communications in Mathematical Physics
, vol.74
, pp. 41-59
-
-
Kesten, H.1
-
152
-
-
4944257625
-
ÜBer dieauflösung dergleichungen, aufwelcheman bei der untersuchung der linearen verteilung galvanischer strome gefuhrt wird
-
Kirchhoff, G. Über dieAuflösung derGleichungen, aufwelcheman bei der Untersuchung der linearen Verteilung galvanischer Strome gefuhrt wird, Annalen der Physik und Chemie 72 (1847), 497–508.
-
(1847)
Annalen Der Physik Und Chemie
, vol.72
, pp. 497-508
-
-
Kirchhoff, G.1
-
153
-
-
0010241049
-
Extinction of contact and percolation processes in a random environment
-
Klein, A. Extinction of contact and percolation processes in a random environment, Annals of Probability 22 (1994), 1227–1251.
-
(1994)
Annals of Probability
, vol.22
, pp. 1227-1251
-
-
Klein, A.1
-
154
-
-
84924488614
-
-
(G. R. Grimmett, ed.), Kluwer, Dordrecht
-
Klein, A. Multiscale analysis in disordered systems: percolation and contact process in random environment, Disorder in Physical Systems (G. R. Grimmett, ed.), Kluwer, Dordrecht, 1994, pp. 139–152.
-
(1994)
Multiscale Analysis in Disordered Systems: Percolation and Contact Process in Random Environment, Disorder in Physical Systems
, pp. 139-152
-
-
Klein, A.1
-
155
-
-
0000342072
-
First order phase transitions in large entropy lattice systems
-
Kotecký, R., Shlosman, S. First order phase transitions in large entropy lattice systems, Communications in Mathematical Physics 83 (1982), 493–515.
-
(1982)
Communications in Mathematical Physics
, vol.83
, pp. 493-515
-
-
Kotecký, R.1
Shlosman, S.2
-
156
-
-
0001964461
-
Interfaces in the potts model i: Pirogov–sinai theory of the fortuin–kasteleyn representation
-
Laanait, L., Messager, A., Miracle-Solé, S., Ruiz, J., Shlosman, S. Interfaces in the Potts model I: Pirogov–Sinai theory of the Fortuin–Kasteleyn representation, Communications in Mathematical Physics 140 (1991), 81–91.
-
(1991)
Communications in Mathematical Physics
, vol.140
, pp. 81-91
-
-
Laanait, L.1
Messager, A.2
Miracle-Solé, S.3
Ruiz, J.4
Shlosman, S.5
-
157
-
-
0003002413
-
Conformal invariance in two-dimensional percolation
-
Langlands, R., Pouliot, P., Saint-Aubin, Y. Conformal invariance in two-dimensional percolation, Bulletin of the American Mathematical Society 30 (1994), 1–61.
-
(1994)
Bulletin of the American Mathematical Society
, vol.30
, pp. 1-61
-
-
Langlands, R.1
Pouliot, P.2
Saint-Aubin, Y.3
-
158
-
-
0004047518
-
-
Oxford University Press, Oxford
-
Lauritzen, S. Graphical Models, Oxford University Press, Oxford, 1996.
-
(1996)
Graphical Models
-
-
Lauritzen, S.1
-
160
-
-
0035644111
-
The dimension of the planar brownian frontier is 4/3
-
Lawler, G. F., Schramm, O., Werner, W. The dimension of the planar Brownian frontier is 4/3, Mathematics Research Letters 8 (2001), 401–411.
-
(2001)
Mathematics Research Letters
, vol.8
, pp. 401-411
-
-
Lawler, G.F.1
Schramm, O.2
Werner, W.3
-
161
-
-
1342292650
-
Values of brownian intersection exponents iii: Two-sided exponents, annales de l’institut henri poincaré
-
Lawler, G. F., Schramm, O., Werner, W. Values of Brownian intersection exponents III: two-sided exponents, Annales de l’Institut Henri Poincaré, Probabilités et Statistiques 38 (2002), 109–123.
-
(2002)
Probabilités Et Statistiques
, vol.38
, pp. 109-123
-
-
Lawler, G.F.1
Schramm, O.2
Werner, W.3
-
162
-
-
0242384526
-
One-arm exponent for critical 2d percolation
-
Paper 2
-
Lawler, G. F., Schramm, O., Werner, W. One-arm exponent for critical 2D percolation, Electronic Journal of Probability 7 (2002), Paper 2.
-
(2002)
Electronic Journal of Probability
, vol.7
-
-
Lawler, G.F.1
Schramm, O.2
Werner, W.3
-
163
-
-
2142809825
-
Conformal invariance of planar loop-erased random walks and uniform spanning trees
-
Lawler, G. F., Schramm, O., Werner, W. Conformal invariance of planar loop-erased random walks and uniform spanning trees, Annals of Probability 32 (2004), 939–995.
-
(2004)
Annals of Probability
, vol.32
, pp. 939-995
-
-
Lawler, G.F.1
Schramm, O.2
Werner, W.3
-
164
-
-
34047144703
-
-
AMS, Providence, R. I
-
Levin, D. A., Peres, Y., Wilmer, E. L. Markov Chains and Mixing Times, AMS, Providence, R. I., 2009.
-
(2009)
Markov Chains and Mixing Times
-
-
Levin, D.A.1
Peres, Y.2
Wilmer, E.L.3
-
165
-
-
0008417829
-
Two soluble models of an antiferromagnetic chain
-
Lieb, E., Schultz, T., Mattis, D. Two soluble models of an antiferromagnetic chain, Annals of Physics 16 (1961), 407–466.
-
(1961)
Annals of Physics
, vol.16
, pp. 407-466
-
-
Lieb, E.1
Schultz, T.2
Mattis, D.3
-
167
-
-
0030371517
-
Multiple transition points for the contact process on the binary tree
-
Liggett, T. M. Multiple transition points for the contact process on the binary tree, Annals of Probability 24 (1996), 1675–1710.
-
(1996)
Annals of Probability
, vol.24
, pp. 1675-1710
-
-
Liggett, T.M.1
-
170
-
-
44949138366
-
A note about the truncation question in percolation of words
-
De Lima, B. N. B. A note about the truncation question in percolation of words, Bulletin of the Brazilian Mathematical Society 39 (2008), 183–189.
-
(2008)
Bulletin of the Brazilian Mathematical Society
, vol.39
, pp. 183-189
-
-
De Lima, B.1
-
175
-
-
0001457843
-
The motion of electrons in metallic bodies, i, ii, iii, koninklijke akademie van wetenschappen te amsterdam
-
Lorentz, H. A. The motion of electrons in metallic bodies, I, II, III, Koninklijke Akademie van Wetenschappen te Amsterdam, Section of Sciences 7 (1905), 438–453, 585–593, 684–691.
-
(1905)
Section of Sciences
, vol.7
-
-
Lorentz, H.A.1
-
176
-
-
0000942409
-
Untersuchungen über schlichte konforme abbildungen des einheitskreises, i
-
Löwner, K. Untersuchungen über schlichte konforme Abbildungen des Einheitskreises, I, Mathematische Annalen 89 (1923), 103–121.
-
(1923)
Mathematische Annalen
, vol.89
, pp. 103-121
-
-
Löwner, K.1
-
179
-
-
0034345423
-
Phase transitions on nonamenable graphs
-
Lyons, R. Phase transitions on nonamenable graphs, Journal ofMathematical Physics 41 (2001), 1099–1126.
-
(2001)
Journal Ofmathematical Physics
, vol.41
, pp. 1099-1126
-
-
Lyons, R.1
-
181
-
-
0000328160
-
A simple criterion for transience of a reversible markov chain
-
Lyons, T. J. A simple criterion for transience of a reversible Markov chain, Annals of Probability 11 (1983), 393–402.
-
(1983)
Annals of Probability
, vol.11
, pp. 393-402
-
-
Lyons, T.J.1
-
183
-
-
0002577888
-
Probabilistic characteristics of graphs with large connectivity
-
Margulis, G. Probabilistic characteristics of graphs with large connectivity, Problemy Peredachi Informatsii (in Russian) 10 (1974), 101–108.
-
(1974)
Problemy Peredachi Informatsii (In Russian)
, vol.10
, pp. 101-108
-
-
Margulis, G.1
-
184
-
-
0001902871
-
-
(P. Bernard, ed.), Lecture Notes in Mathematics, Springer, Berlin
-
Martinelli, F. Lectures on Glauber dynamics for discrete spin models, Ecole d’Eté de Probabilités de Saint Flour XXVII–1997 (P. Bernard, ed.), Lecture Notes in Mathematics, vol. 1717, Springer, Berlin, pp. 93–191.
-
Lectures on Glauber Dynamics for Discrete Spin Models, Ecole d’Eté De Probabilités De Saint Flour XXVII–1997
, vol.1717
, pp. 93-191
-
-
Martinelli, F.1
-
185
-
-
33747740020
-
-
(J. Siemons, ed.), LMS Lecture Notes Series 141, Cambridge University Press, Cambridge
-
McDiarmid, C. J. H. On the method of bounded differences, Surveys in Combinatorics, 1989 (J. Siemons, ed.), LMS Lecture Notes Series 141, Cambridge University Press, Cambridge, 1989.
-
(1989)
On the Method of Bounded Differences, Surveys in Combinatorics, 1989
-
-
McDiarmid, C.1
-
186
-
-
84990634463
-
On the chromatic number of random graphs
-
McDiarmid, C. J. H. On the chromatic number of random graphs, Random Structures and Algorithms 1 (1990), 435–442.
-
(1990)
Random Structures and Algorithms
, vol.1
, pp. 435-442
-
-
McDiarmid, C.1
-
188
-
-
0000819241
-
Coincidence of critical points in percolation problems
-
Menshikov, M. V. Coincidence of critical points in percolation problems, Soviet Mathematics Doklady 33 (1987), 856–859.
-
(1987)
Soviet Mathematics Doklady
, vol.33
, pp. 856-859
-
-
Menshikov, M.V.1
-
189
-
-
0003007052
-
-
(Series of Probability Theory, Mathematical Statistics, Theoretical Cybernetics)
-
Menshikov, M. V., Molchanov, S. A., Sidorenko, A. F. Percolation theory and some applications, Itogi Nauki i Techniki (Series of Probability Theory, Mathematical Statistics, Theoretical Cybernetics) 24 (1986), 53–110.
-
(1986)
Percolation Theory and Some Applications, Itogi Nauki I Techniki
, vol.24
, pp. 53-110
-
-
Menshikov, M.V.1
Molchanov, S.A.2
Sidorenko, A.F.3
-
190
-
-
34250415938
-
Gibbs and markov random fields with constraints
-
Moussouris, J. Gibbs and Markov random fields with constraints, Journal of Statistical Physics 10 (1974), 11–33.
-
(1974)
Journal of Statistical Physics
, vol.10
, pp. 11-33
-
-
Moussouris, J.1
-
191
-
-
84924481685
-
-
(G. R. Grimmett, ed.), Kluwer, Dordrecht
-
Nachtergaele, B. A stochastic geometric approach to quantum spin systems, Probability and Phase Transition (G. R. Grimmett, ed.), Kluwer, Dordrecht, 1994, pp. 237–246.
-
(1994)
A Stochastic Geometric Approach to Quantum Spin Systems, Probability and Phase Transition
, pp. 237-246
-
-
Nachtergaele, B.1
-
192
-
-
36149012281
-
A two-dimensional model with an order–disorder transition
-
Onsager, L. Crystal statistics, I. A two-dimensional model with an order–disorder transition, The Physical Review 65 (1944), 117–149.
-
(1944)
The Physical Review
, vol.65
, pp. 117-149
-
-
Onsager, L.1
Crystal Statistics, I.2
-
194
-
-
0000000702
-
Choosing a spanning tree for the infinite lattice uniformly
-
Pemantle, R. Choosing a spanning tree for the infinite lattice uniformly, Annals of Probability 19 (1991), 1559–1574.
-
(1991)
Annals of Probability
, vol.19
, pp. 1559-1574
-
-
Pemantle, R.1
-
195
-
-
0000771579
-
The contact process on trees
-
Pemantle, R. The contact process on trees, Annals of Probability 20 (1992), 2089–2116.
-
(1992)
Annals of Probability
, vol.20
, pp. 2089-2116
-
-
Pemantle, R.1
-
196
-
-
84924514252
-
-
(J. L. Snell, ed.), CRC Press, Boca Raton
-
Pemantle, R. Uniform random spanning trees, Topics in Contemporary Probability and its Applications (J. L. Snell, ed.), CRC Press, Boca Raton, 1994, pp. 1–54.
-
(1994)
Uniform Random Spanning Trees, Topics in Contemporary Probability and Its Applications
, pp. 1-54
-
-
Pemantle, R.1
-
197
-
-
0034345454
-
Towards a theory of negative dependence
-
Pemantle, R. Towards a theory of negative dependence, Journal ofMathematical Physics 41 (2000), 1371–1390.
-
(2000)
Journal Ofmathematical Physics
, vol.41
, pp. 1371-1390
-
-
Pemantle, R.1
-
198
-
-
0003831421
-
-
Cambridge University Press, Cambridge
-
Petersen, K. Ergodic Theory, Cambridge University Press, Cambridge, 1983.
-
(1983)
Ergodic Theory
-
-
Petersen, K.1
-
199
-
-
0000275183
-
ÜBer eine aufgabe betreffend die irrfahrt im strassennetz
-
Pólya, G. Über eine Aufgabe betreffend die Irrfahrt im Strassennetz, Mathematische Annalen 84 (1921), 149–160.
-
(1921)
Mathematische Annalen
, vol.84
, pp. 149-160
-
-
Pólya, G.1
-
200
-
-
84924502802
-
-
Collected Papers (G. Pólya, G.-C. Rota, eds), vol. IV, The MIT Press, Cambridge, Massachusetts
-
Pólya, G. Two incidents, Collected Papers (G. Pólya, G.-C. Rota, eds), vol. IV, The MIT Press, Cambridge, Massachusetts, 1984, pp. 582–585.
-
(1984)
Two Incidents
, pp. 582-585
-
-
Pólya, G.1
-
202
-
-
0000162904
-
How to get a perfectly random sample from a generic markov chain and generate a random spanning tree of a directed graph
-
Propp, D., Wilson, D. B. How to get a perfectly random sample from a generic Markov chain and generate a random spanning tree of a directed graph, Journal of Algebra 27 (1998), 170–217.
-
(1998)
Journal of Algebra
, vol.27
, pp. 170-217
-
-
Propp, D.1
Wilson, D.B.2
-
203
-
-
0033455810
-
Infinite paths in a lorentz lattice gas model
-
Quas, A. Infinite paths in a Lorentz lattice gas model, Probability Theory and Related Fields 114 (1999), 229–244.
-
(1999)
Probability Theory and Related Fields
, vol.114
, pp. 229-244
-
-
Quas, A.1
-
205
-
-
0034393238
-
Proof of the van den berg–kesten conjecture, combinatorics, probability
-
Reimer, D. Proof of the van den Berg–Kesten conjecture, Combinatorics, Probability, Computing 9 (2000), 27–32.
-
(2000)
Computing
, vol.9
, pp. 27-32
-
-
Reimer, D.1
-
207
-
-
33845483157
-
Threshold for monotone symmetric properties through a logarithmic sobolev inequality
-
Rossignol, R. Threshold for monotone symmetric properties through a logarithmic Sobolev inequality, Annals of Probability 34 (2005), 1707–1725.
-
(2005)
Annals of Probability
, vol.34
, pp. 1707-1725
-
-
Rossignol, R.1
-
208
-
-
38749132478
-
Threshold phenomena on product spaces: Bkkkl revisited (once more)
-
Rossignol, R. Threshold phenomena on product spaces: BKKKL revisited (once more), Electronic Communications in Probability 13 (2008), 35–44.
-
(2008)
Electronic Communications in Probability
, vol.13
, pp. 35-44
-
-
Rossignol, R.1
-
214
-
-
0000614574
-
Scaling limits of loop-erased walks and uniform spanning trees
-
Schramm, O. Scaling limits of loop-erased walks and uniform spanning trees, Israel Journal of Mathematics 118 (2000), 221–288.
-
(2000)
Israel Journal of Mathematics
, vol.118
, pp. 221-288
-
-
Schramm, O.1
-
215
-
-
84878065831
-
-
Proceedings of the International Congress of Mathematicians, Madrid (M. Sanz-Solé et al., eds), European Mathematical Society, Zurich
-
Schramm, O. Conformally invariant scaling limits: an overview and collection of open problems, Proceedings of the International Congress of Mathematicians, Madrid (M. Sanz-Solé et al., eds), vol. 1, European Mathematical Society, Zurich, 2007, pp. 513–544.
-
(2007)
Conformally Invariant Scaling Limits: An Overview and Collection of Open Problems
, vol.1
, pp. 513-544
-
-
Schramm, O.1
-
216
-
-
29344433474
-
Harmonic explorer and its convergence to sle4
-
Schramm, O., Sheffield, S. Harmonic explorer and its convergence to SLE4, Annals of Probability 33 (2005), 2127–2148.
-
(2005)
Annals of Probability
, vol.33
, pp. 2127-2148
-
-
Schramm, O.1
Sheffield, S.2
-
217
-
-
62249151761
-
Contour lines of the two-dimensional discrete gaussian free field
-
Schramm, O., Sheffield, S. Contour lines of the two-dimensional discrete Gaussian free field, Acta Mathematica 202 (2009), 21–137.
-
(2009)
Acta Mathematica
, vol.202
, pp. 21-137
-
-
Schramm, O.1
Sheffield, S.2
-
219
-
-
0342696483
-
Entropy for translation-invariant random-cluster measures
-
Seppäläinen, T. Entropy for translation-invariant random-cluster measures, Annals of Probability 26 (1998), 1139–1178.
-
(1998)
Annals of Probability
, vol.26
, pp. 1139-1178
-
-
Seppäläinen, T.1
-
220
-
-
77957093986
-
-
(B. Bollobás, ed.), Annals of Discrete Mathematics 3, North-Holland, Amsterdam
-
Seymour, P. D., Welsh, D. J. A. Percolation probabilities on the square lattice, Advances in Graph Theory (B. Bollobás, ed.), Annals of Discrete Mathematics 3, North-Holland, Amsterdam, 1978, pp. 227–245.
-
(1978)
Percolation Probabilities on the Square Lattice, Advances in Graph Theory
, pp. 227-245
-
-
Seymour, P.D.1
Welsh, D.2
-
221
-
-
0041869040
-
Critical percolation in the plane: Conformal invariance, cardy’s formula, scaling limits, comptes rendus des séances de l’académie des sciences. Série i
-
Smirnov, S. Critical percolation in the plane: conformal invariance, Cardy’s formula, scaling limits, Comptes Rendus des Séances de l’Académie des Sciences. Série I. Mathématique 333 (2001), 239–244.
-
(2001)
Mathématique
, vol.333
, pp. 239-244
-
-
Smirnov, S.1
-
222
-
-
0038270889
-
-
I. Conformal invariance and Cardy’s formula. II. Continuum scaling limit
-
Smirnov, S. Critical percolation in the plane. I. Conformal invariance and Cardy’s formula. II. Continuum scaling limit, http://www.math.kth.se/~stas/papers/(2001).
-
(2001)
Critical Percolation in the Plane
-
-
Smirnov, S.1
-
223
-
-
84878094646
-
-
Proceedings of the International Congress ofMathematicians, Madrid, 2006 (M. Sanz-Solé et al., eds, European Mathematical Society, Zurich
-
Smirnov, S. Towards conformal invariance of 2D lattice models, Proceedings of the International Congress ofMathematicians, Madrid, 2006 (M. Sanz-Solé et al., eds), vol. 2, European Mathematical Society, Zurich, 2007, pp. 1421–1452.
-
(2007)
Towards Conformal Invariance of 2D Lattice Models
, vol.2
, pp. 1421-1452
-
-
Smirnov, S.1
-
225
-
-
0035527905
-
Critical exponents for two-dimensional percolation
-
Smirnov, S., Werner, W. Critical exponents for two-dimensional percolation, Mathematics Research Letters 8 (2001), 729–744.
-
(2001)
Mathematics Research Letters
, vol.8
, pp. 729-744
-
-
Smirnov, S.1
Werner, W.2
-
226
-
-
0000649228
-
The existence of probability measures with given marginals
-
Strassen, V. The existence of probability measures with given marginals, Annals of Mathematical Statistics 36 (1965), 423–439.
-
(1965)
Annals of Mathematical Statistics
, vol.36
, pp. 423-439
-
-
Strassen, V.1
-
227
-
-
33747349191
-
Nonuniversal critical dynamics in monte carlo simulations
-
Swendsen, R. H., Wang, J. S. Nonuniversal critical dynamics in Monte Carlo simulations, Physical Review Letters 58 (1987), 86–88.
-
(1987)
Physical Review Letters
, vol.58
, pp. 86-88
-
-
Swendsen, R.H.1
Wang, J.S.2
-
228
-
-
0013238735
-
-
Springer, Berlin
-
Szász, D. Hard Ball Systems and the Lorentz Gas, Encyclopaedia of Mathematical Sciences, vol. 101, Springer, Berlin, 2000.
-
(2000)
Hard Ball Systems and the Lorentz Gas, Encyclopaedia of Mathematical Sciences
, vol.101
-
-
Szász, D.1
-
229
-
-
0003025668
-
Isoperimetry, logarithmic sobolev inequalities on the discrete cube, and margulis’ graph connectivity theorem
-
Talagrand, M. Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis’ graph connectivity theorem, Geometric and Functional Analysis 3 (1993), 295–314.
-
(1993)
Geometric and Functional Analysis
, vol.3
, pp. 295-314
-
-
Talagrand, M.1
-
230
-
-
0000055593
-
On russo’s approximate zero–one law
-
Talagrand, M. On Russo’s approximate zero–one law, Annals of Probability 22 (1994), 1576–1587.
-
(1994)
Annals of Probability
, vol.22
, pp. 1576-1587
-
-
Talagrand, M.1
-
231
-
-
0031498560
-
On boundaries and influences
-
Talagrand, M. On boundaries and influences, Combinatorica 17 (1997), 275–285.
-
(1997)
Combinatorica
, vol.17
, pp. 275-285
-
-
Talagrand, M.1
-
233
-
-
0000266609
-
Persistent random walks in random environment
-
Tóth, B. Persistent random walks in random environment, Probability Theory and Related Fields 71 (1986), 615–625.
-
(1986)
Probability Theory and Related Fields
, vol.71
, pp. 615-625
-
-
Tóth, B.1
-
234
-
-
14944350573
-
-
(J. Picard, ed.), Springer, Berlin
-
Werner, W. Random planar curves and Schramm–Loewner evolutions, Ecole d’Eté de Probabilités de Saint Flour XXXII–2002 (J. Picard, ed.), Springer, Berlin, 2004, pp. 107–195.
-
(2004)
Random Planar Curves and Schramm–Loewner Evolutions, Ecole d’Eté De Probabilités De Saint Flour XXXII–2002
, pp. 107-195
-
-
Werner, W.1
-
235
-
-
78249257926
-
-
(S. Sheffield, T. Spencer, eds), IAS/Park City Mathematics Series, Vol. 16, AMS, Providence, R. I
-
Werner, W. Lectures on two-dimensional critical percolation, Statistical Mechanics (S. Sheffield, T. Spencer, eds), IAS/Park City Mathematics Series, Vol. 16, AMS, Providence, R. I., 2009, pp. 297–360.
-
(2009)
Lectures on Two-Dimensional Critical Percolation, Statistical Mechanics
, pp. 297-360
-
-
Werner, W.1
-
237
-
-
0000095499
-
Bond percolation on the honeycomb and triangular lattices
-
Wierman, J. C. Bond percolation on the honeycomb and triangular lattices, Advances in Applied Probability 13 (1981), 298–313.
-
(1981)
Advances in Applied Probability
, vol.13
, pp. 298-313
-
-
Wierman, J.C.1
-
238
-
-
0015492587
-
Stochastic model for abnormal clone spread through epithelial basal layer
-
Williams, G. T., Bjerknes, R. Stochastic model for abnormal clone spread through epithelial basal layer, Nature 236 (1972), 19–21.
-
(1972)
Nature
, vol.236
, pp. 19-21
-
-
Williams, G.T.1
Bjerknes, R.2
-
239
-
-
0029711422
-
-
Proceedings of the 28th ACM on the Theory of Computing, ACM, New York
-
Wilson, D. B. Generating random spanning trees more quickly than the cover time, Proceedings of the 28th ACM on the Theory of Computing, ACM, New York, 1996, pp. 296–303.
-
(1996)
Generating Random Spanning Trees More Quickly than the Cover Time
, pp. 296-303
-
-
Wilson, D.B.1
-
242
-
-
0001421454
-
Zur frage der geschwindigkeit des wachsturms und der auflösung der krystallflächen
-
Wulff, G. Zur Frage der Geschwindigkeit des Wachsturms und der Auflösung der Krystallflächen, Zeitschrift für Krystallographie und Mineralogie 34 (1901), 449–530.
-
(1901)
Zeitschrift für Krystallographie Und Mineralogie
, vol.34
, pp. 449-530
-
-
Wulff, G.1
|