-
2
-
-
84883179139
-
When knowing early matters: gossip, percolation and Nash equilibria
-
Springer Proceedings in Mathematics & Statistics, 33. Springer, Heidelberg
-
Aldous, D. J. When knowing early matters: gossip, percolation and Nash equilibria. Prokhorov and contemporary probability theory, 3-27. Springer Proceedings in Mathematics & Statistics, 33. Springer, Heidelberg, 2013. doi: 10.1007/978-3-642-33549-5_1
-
(2013)
Prokhorov and contemporary probability theory
, pp. 3-27
-
-
Aldous, D.J.1
-
3
-
-
84890493616
-
Asymptotic behaviour of gossip processes and small-world networks
-
Barbour, A. D.; Reinert, G. Asymptotic behaviour of gossip processes and small-world networks. Adv. in Appl. Probab. 45 (2013), no. 4, 981-1010. doi: 10.1239/aap/1386857854
-
(2013)
Adv. in Appl. Probab.
, vol.45
, Issue.4
, pp. 981-1010
-
-
Barbour, A.D.1
Reinert, G.2
-
4
-
-
0035610528
-
The diameter of long-range percolation clusters on finite cycles
-
Benjamini, I.; Berger, N. The diameter of long-range percolation clusters on finite cycles. Random Structures Algorithms 19 (2001), no. 2, 102-111. doi: 10.1002/rsa.1022
-
(2001)
Random Structures Algorithms
, vol.19
, Issue.2
, pp. 102-111
-
-
Benjamini, I.1
Berger, N.2
-
5
-
-
47749119154
-
Long-range percolation mixing time
-
Benjamini, I.; Berger, N.; Yadin, A. Long-range percolation mixing time. Combin. Probab. Comput. 17 (2008), no. 4, 487-494. doi: 10.1017/S0963548308008948
-
(2008)
Combin. Probab. Comput.
, vol.17
, Issue.4
, pp. 487-494
-
-
Benjamini, I.1
Berger, N.2
Yadin, A.3
-
6
-
-
84955199406
-
Geometry of the uniform spanning forest: transitions in dimensions 4, 8, 12,...
-
Selected Works in Probability and Statistics. Springer, New York
-
Benjamini, I.; Kesten, H.; Peres, Y.; Schramm, O. Geometry of the uniform spanning forest: transitions in dimensions 4, 8, 12, .... Selected works of Oded Schramm. Vol. 2, 751-777. Selected Works in Probability and Statistics. Springer, New York, 2011. doi: 10.1007/978-1-4419-9675-6_25
-
(2011)
Selected works of Oded Schramm. Vol. 2
, pp. 751-777
-
-
Benjamini, I.1
Kesten, H.2
Peres, Y.3
Schramm, O.4
-
7
-
-
0036011687
-
Transience, recurrence and critical behavior for long-range percolation
-
Berger, N. Transience, recurrence and critical behavior for long-range percolation. Comm. Math. Phys. 226 (2002), no. 3, 531-558. doi: 10.1007/s002200200617
-
(2002)
Comm. Math. Phys.
, vol.226
, Issue.3
, pp. 531-558
-
-
Berger, N.1
-
8
-
-
33845626940
-
A lower bound for the chemical distance in sparse long-range percolation models
-
Preprint, arxiv:math/0409021
-
Berger, N. A lower bound for the chemical distance in sparse long-range percolation models. Preprint, 2004. arxiv:math/0409021
-
(2004)
-
-
Berger, N.1
-
9
-
-
58149216667
-
First passage percolation on locally treelike networks. I. Dense random graphs
-
125218
-
Bhamidi, S. First passage percolation on locally treelike networks. I. Dense random graphs. J. Math. Phys. 49 (2008), no. 12, 125218, 27 pp. doi: 10.1063/1.3039876
-
(2008)
J. Math. Phys.
, vol.49
, Issue.12
, pp. 27
-
-
Bhamidi, S.1
-
10
-
-
77957744298
-
First passage percolation on random graphs with finite mean degrees
-
Bhamidi, S.; van der Hofstad, R.; Hooghiemstra, G. First passage percolation on random graphs with finite mean degrees. Ann. Appl. Probab. 20 (2010), no. 5, 1907-1965. doi: 10.1214/09-AAP666
-
(2010)
Ann. Appl. Probab.
, vol.20
, Issue.5
, pp. 1907-1965
-
-
Bhamidi, S.1
van der Hofstad, R.2
Hooghiemstra, G.3
-
11
-
-
8744235217
-
On the scaling of the chemical distance in long-range percolation models
-
Biskup, M. On the scaling of the chemical distance in long-range percolation models. Ann. Probab. 32 (2004), no. 4, 2938-2977. doi: 10.1214/009117904000000577
-
(2004)
Ann. Probab.
, vol.32
, Issue.4
, pp. 2938-2977
-
-
Biskup, M.1
-
12
-
-
79960486785
-
Graph diameter in long-range percolation
-
Biskup, M. Graph diameter in long-range percolation. Random Structures Algorithms 39 (2011), no. 2, 210-227. doi: 10.1002/rsa.20349
-
(2011)
Random Structures Algorithms
, vol.39
, Issue.2
, pp. 210-227
-
-
Biskup, M.1
-
13
-
-
84878107670
-
First passage percolation and competition models
-
Preprint, arxiv:1005.0649
-
Blair-Stahn, N. D. First passage percolation and competition models. Preprint, 2010. arxiv:1005.0649
-
(2010)
-
-
Blair-Stahn, N.D.1
-
14
-
-
33749317177
-
Random subgraphs of finite graphs. III. The phase transition for the n-cube
-
Borgs, C.; Chayes, J. T.; van der Hofstad, R.; Slade, G.; Spencer, J. Random subgraphs of finite graphs. III. The phase transition for the n-cube. Combinatorica 26 (2006), no. 4, 395-410. doi: 10.1007/s00493-006-0022-1
-
(2006)
Combinatorica
, vol.26
, Issue.4
, pp. 395-410
-
-
Borgs, C.1
Chayes, J.T.2
van der Hofstad, R.3
Slade, G.4
Spencer, J.5
-
15
-
-
4243939794
-
Network robustness and fragility: percolation on random graphs
-
Callaway, D. S.; Newman, M. E. J.; Strogatz, S. H.; Watts, D. J. Network robustness and fragility: percolation on random graphs. Phys. Rev. Lett. 85 (2000), no. 25, 5468-5471. doi: 10.1103/PhysRevLett.85.5468
-
(2000)
Phys. Rev. Lett.
, vol.85
, Issue.25
, pp. 5468-5471
-
-
Callaway, D.S.1
Newman, M.E.J.2
Strogatz, S.H.3
Watts, D.J.4
-
17
-
-
33749247603
-
Long range dispersal and spatial pattern formation in biological invasions
-
Cannas, S. A.; Marco, D. E.; Montemurro, M. A. Long range dispersal and spatial pattern formation in biological invasions. Math. Biosci. 203 (2006), no. 2, 155-170. doi: 10.1016/j.mbs.2006.06.005
-
(2006)
Math. Biosci.
, vol.203
, Issue.2
, pp. 155-170
-
-
Cannas, S.A.1
Marco, D.E.2
Montemurro, M.A.3
-
18
-
-
82655189992
-
Asymptotic behavior of Aldous' gossip process
-
Chatterjee, S.; Durrett, R. Asymptotic behavior of Aldous' gossip process. Ann. Appl. Probab. 21 (2011), no. 6, 2447-2482. doi: 10.1214/10-AAP750
-
(2011)
Ann. Appl. Probab.
, vol.21
, Issue.6
, pp. 2447-2482
-
-
Chatterjee, S.1
Durrett, R.2
-
19
-
-
84968760434
-
The diameter of a long range percolation graph
-
Society for Industrial and Applied Mathematics, Philadelphia
-
Coppersmith, D.; Gamarnik, D.; Sviridenko, M. The diameter of a long range percolation graph. Proceedings of the thirteenth annual ACM-SIAM symposium on discrete algorithms, 329-337. Society for Industrial and Applied Mathematics, Philadelphia, 2002.
-
(2002)
Proceedings of the thirteenth annual ACM-SIAM symposium on discrete algorithms
, pp. 329-337
-
-
Coppersmith, D.1
Gamarnik, D.2
Sviridenko, M.3
-
20
-
-
0000151141
-
Some limit theorems for percolation processes with necessary and sufficient conditions
-
Cox, J. T.; Durrett, R. Some limit theorems for percolation processes with necessary and sufficient conditions. Ann. Probab. 9 (1981), no. 4, 583-603.
-
(1981)
Ann. Probab.
, vol.9
, Issue.4
, pp. 583-603
-
-
Cox, J.T.1
Durrett, R.2
-
21
-
-
79960521548
-
Heat kernel upper bounds on long range percolation clusters
-
Preprint, arxiv:0907.2434
-
Crawford, N.; Sly, A. Heat kernel upper bounds on long range percolation clusters. Preprint, 2009. arxiv:0907.2434
-
(2009)
-
-
Crawford, N.1
Sly, A.2
-
22
-
-
84893153229
-
Distances in critical long range percolation
-
Preprint, arxiv:1303.3995
-
Ding, J.; Sly, A. Distances in critical long range percolation. Preprint, 2013. arxiv:1303.3995
-
(2013)
-
-
Ding, J.1
Sly, A.2
-
23
-
-
0003621913
-
Lecture notes on particle systems and percolation
-
The Wadsworth & Brooks/Cole Statistics/Probability Series. Wadsworth & Brooks/Cole Advanced Books & Software, Pacific Grove, Calif.
-
Durrett, R. Lecture notes on particle systems and percolation. The Wadsworth & Brooks/Cole Statistics/Probability Series. Wadsworth & Brooks/Cole Advanced Books & Software, Pacific Grove, Calif., 1988.
-
(1988)
-
-
Durrett, R.1
-
24
-
-
0344552311
-
Effects of dispersal mechanisms on spatio-temporal development of epidemics
-
Filipe, J. A. N.; Maule, M. M. Effects of dispersal mechanisms on spatio-temporal development of epidemics. J. Theoret. Biol. 226 (2004), no. 2, 125-141. doi: 10.1016/S0022-5193(03)00278-9
-
(2004)
J. Theoret. Biol.
, vol.226
, Issue.2
, pp. 125-141
-
-
Filipe, J.A.N.1
Maule, M.M.2
-
25
-
-
14544306100
-
Coexistence in two-type first-passage percolation models
-
Garet, O.; Marchand, R. Coexistence in two-type first-passage percolation models. Ann. Appl. Probab. 15 (2005), no. 1A, 298-330. doi: 10.1214/105051604000000503
-
(2005)
Ann. Appl. Probab.
, vol.15
, Issue.1
, pp. 298-330
-
-
Garet, O.1
Marchand, R.2
-
26
-
-
63049135024
-
Continuous first-passage percolation and continuous greedy paths model: linear growth
-
Gouéré, J.-B.; Marchand, R. Continuous first-passage percolation and continuous greedy paths model: linear growth. Ann. Appl. Probab. 18 (2008), no. 6, 2300-2319. doi: 10.1214/08-AAP523
-
(2008)
Ann. Appl. Probab.
, vol.18
, Issue.6
, pp. 2300-2319
-
-
Gouéré, J.-B.1
Marchand, R.2
-
27
-
-
5244221848
-
Spreading of epidemic processes leading to fractal structures
-
Edited by L. Pietronero and E. Tosatti. North Holland, Amsterdam
-
Grassberger, P. Spreading of epidemic processes leading to fractal structures. Fractals in Physics: Proceedings of the Sixth Trieste International Symposium, 273-278. Edited by L. Pietronero and E. Tosatti . North Holland, Amsterdam, 1986.
-
(1986)
Fractals in Physics: Proceedings of the Sixth Trieste International Symposium
, pp. 273-278
-
-
Grassberger, P.1
-
28
-
-
0004246476
-
-
Second edition. Grundlehren der mathematischen Wissenschaften, 321. Springer, Berlin
-
Grimmett, G. Percolation. Second edition. Grundlehren der mathematischen Wissenschaften, 321. Springer, Berlin, 1999. doi: 10.1007/978-3-662-03981-6
-
(1999)
Percolation
-
-
Grimmett, G.1
-
29
-
-
84955214698
-
Percolation since Saint-Flour
-
Probability at Saint-Flour. Springer, Heidelberg
-
Grimmett, G. R.; Kesten, H. Percolation since Saint-Flour. Percolation theory at Saint-Flour, ix-xxvii. Probability at Saint-Flour. Springer, Heidelberg, 2012.
-
(2012)
Percolation theory at Saint-Flour
, pp. 9-27
-
-
Grimmett, G.R.1
Kesten, H.2
-
30
-
-
0002049581
-
First-passage percolation, subadditive processes, stochastic networks, and generalized renewal theory
-
Springer, Berlin-Heidelberg
-
Hammersley, J. M.; Welsh, D. J. A. First-passage percolation, subadditive processes, stochastic networks, and generalized renewal theory. Bernoulli 1713, Bayes 1763, Laplace 1813: Proceedings of an International Research Seminar, Statistical Laboratory, University of California, Berkeley, 61-110. Springer, Berlin-Heidelberg, 1965. doi: 10.1007/978-3-642-49749-0_7
-
(1965)
Bernoulli 1713, Bayes 1763, Laplace 1813: Proceedings of an International Research Seminar, Statistical Laboratory, University of California, Berkeley
, pp. 61-110
-
-
Hammersley, J.M.1
Welsh, D.J.A.2
-
31
-
-
0034336207
-
The scaling limit of the incipient infinite cluster in high-dimensional percolation. I. Critical exponents
-
Hara, T.; Slade, G. The scaling limit of the incipient infinite cluster in high-dimensional percolation. I. Critical exponents. J. Statist. Phys. 99 (2000), no. 5-6, 1075-1168. doi: 10.1023/A:1018628503898
-
(2000)
J. Statist. Phys.
, vol.99
, Issue.5-6
, pp. 1075-1168
-
-
Hara, T.1
Slade, G.2
-
32
-
-
0034345450
-
The scaling limit of the incipient infinite cluster in high-dimensional percolation. II. Integrated super-Brownian excursion. Probabilistic techniques in equilibrium and nonequilibrium statistical physics
-
Hara, T.; Slade, G. The scaling limit of the incipient infinite cluster in high-dimensional percolation. II. Integrated super-Brownian excursion. Probabilistic techniques in equilibrium and nonequilibrium statistical physics. J. Math. Phys. 41 (2000), no. 3, 1244-1293. doi: 10.1063/1.533186
-
(2000)
J. Math. Phys.
, vol.41
, Issue.3
, pp. 1244-1293
-
-
Hara, T.1
Slade, G.2
-
34
-
-
14544295406
-
Coexistence for Richardson type competing spatial growth models
-
Hoffman, C. Coexistence for Richardson type competing spatial growth models. Ann. Appl. Probab. 15 (2005), no. 1B, 739-747. doi: 10.1214/105051604000000729
-
(2005)
Ann. Appl. Probab.
, vol.15
, Issue.1
, pp. 739-747
-
-
Hoffman, C.1
-
35
-
-
0000224749
-
2 percolation, Ising and Potts models
-
2 percolation, Ising and Potts models. Comm. Math. Phys. 118 (1988), no. 2, 303-336.
-
(1988)
Comm. Math. Phys.
, vol.118
, Issue.2
, pp. 303-336
-
-
Imbrie, J.Z.1
Newman, C.M.2
-
36
-
-
0033439042
-
One, two and three times log n/n for paths in a complete graph with random weights. Random graphs and combinatorial structures (Oberwolfach, 1997)
-
Janson, S. One, two and three times log n/n for paths in a complete graph with random weights. Random graphs and combinatorial structures (Oberwolfach, 1997). Combin. Probab. Comput. 8 (1999), no. 4, 347-361. doi: 10.1017/S0963548399003892
-
(1999)
Combin. Probab. Comput.
, vol.8
, Issue.4
, pp. 347-361
-
-
Janson, S.1
-
37
-
-
0000371614
-
Lévy-flight spreading of epidemic processes leading to percolating clusters
-
Janssen, H. K.; Oerding, K.; Van Wijland, F.; Hilhorst, H. J. Lévy-flight spreading of epidemic processes leading to percolating clusters. The European Physical Journal B - Condensed Matter and Complex Systems 7 (1999), no. 1, 137-145. doi: 10.1007/s100510050596
-
(1999)
The European Physical Journal B - Condensed Matter and Complex Systems
, vol.7
, Issue.1
, pp. 137-145
-
-
Janssen, H.K.1
Oerding, K.2
Van Wijland, F.3
Hilhorst, H.J.4
-
38
-
-
0000264803
-
Aspects of first passage percolation
-
Lecture Notes in Mathematics, 1180. Springer, Berlin
-
Kesten, H. Aspects of first passage percolation. École d'été de probabilités de Saint-Flour, XIV-1984, 125-264. Lecture Notes in Mathematics, 1180. Springer, Berlin, 1986. doi: 10.1007/BFb0074919
-
(1986)
École d'été de probabilités de Saint-Flour, XIV-1984
, pp. 125-264
-
-
Kesten, H.1
-
39
-
-
0003067890
-
Kinetic roughening of growing surfaces
-
Cambridge University Press, Cambridge
-
Krug, J.; Spohn, H. Kinetic roughening of growing surfaces. Solids far from equilibrium: growth, morphology and defects, 412-525. Cambridge University Press, Cambridge, 1991.
-
(1991)
Solids far from equilibrium: growth, morphology and defects
, pp. 412-525
-
-
Krug, J.1
Spohn, H.2
-
40
-
-
0038447811
-
An improved subadditive ergodic theorem
-
Liggett, T. M. An improved subadditive ergodic theorem. Ann. Probab. 13 (1985), no. 4, 1279-1285.
-
(1985)
Ann. Probab.
, vol.13
, Issue.4
, pp. 1279-1285
-
-
Liggett, T.M.1
-
42
-
-
79960650458
-
Comparing short and long-distance dispersal: modelling and field case studies
-
Marco, D. E.; Montemurro, M. A.; Cannas, S. A. Comparing short and long-distance dispersal: modelling and field case studies. Ecography 34 (2011), no. 4, 671-682. doi: 10.1111/j.1600-0587.2010.06477.x
-
(2011)
Ecography
, vol.34
, Issue.4
, pp. 671-682
-
-
Marco, D.E.1
Montemurro, M.A.2
Cannas, S.A.3
-
43
-
-
0001707002
-
The rate of spatial propagation of simple epidemics
-
University of California Press, Berkeley, Calif.
-
Mollison, D. The rate of spatial propagation of simple epidemics. Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (University of California, Berkeley, Calif., 1970/1971), Vol. III: Probability theory, 579-614. University of California Press, Berkeley, Calif., 1972.
-
(1972)
Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (University of California, Berkeley, Calif., 1970/1971), Vol. III: Probability theory
, pp. 579-614
-
-
Mollison, D.1
-
44
-
-
0034186340
-
Epidemics and percolation in small-world networks
-
Moore, C.; Newman, M. E. J. Epidemics and percolation in small-world networks. Physical Review E 61 (2000), no. 5, 5678-5682. doi: 10.1103/PhysRevE.61.5678
-
(2000)
Physical Review E
, vol.61
, Issue.5
, pp. 5678-5682
-
-
Moore, C.1
Newman, M.E.J.2
-
45
-
-
0000314880
-
s percolation models: the existence of a transition for s≤2
-
s percolation models: the existence of a transition for s≤2. Comm. Math. Phys. 104 (1986), no. 4, 547-571.
-
(1986)
Comm. Math. Phys.
, vol.104
, Issue.4
, pp. 547-571
-
-
Newman, C.M.1
Schulman, L.S.2
-
46
-
-
4243757085
-
Long range percolation in one dimension
-
Schulman, L. S. Long range percolation in one dimension. J. Phys. A 16 (1983), no. 17, L639-L641.
-
(1983)
J. Phys. A
, vol.16
, Issue.17
, pp. L639-L641
-
-
Schulman, L.S.1
-
47
-
-
41349101495
-
Percolation in directed scale-free networks
-
015104
-
Schwartz, N.; Cohen, R.; ben-Avraham, D.; Barabási, A.-L.; Havlin, S. Percolation in directed scale-free networks. Phys. Rev. E (3) 66 (2002), no. 1, 015104, 4 pp. doi: 10.1103/PhysRevE.66.015104
-
(2002)
Phys. Rev. E (3)
, vol.66
, Issue.1
, pp. 4
-
-
Schwartz, N.1
Cohen, R.2
ben-Avraham, D.3
Barabási, A.-L.4
Havlin, S.5
-
48
-
-
0041869040
-
Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
-
Smirnov, S. Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits. C. R. Acad. Sci. Paris Sér. I Math. 333 (2001), no. 3, 239-244. doi: 10.1016/S0764-4442(01)01991-7
-
(2001)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.333
, Issue.3
, pp. 239-244
-
-
Smirnov, S.1
-
49
-
-
0035527905
-
Critical exponents for two-dimensional percolation
-
Smirnov, S.; Werner, W. Critical exponents for two-dimensional percolation. Math. Res. Lett. 8 (2001), no. 5-6, 729-744. doi: 10.4310/MRL.2001.v8.n6.a4
-
(2001)
Math. Res. Lett.
, vol.8
, Issue.5-6
, pp. 729-744
-
-
Smirnov, S.1
Werner, W.2
-
51
-
-
78649960979
-
Patchy patterns due to group dispersal
-
Soubeyrand, S.; Roques, L.; Coville, J.; Fayard, J. Patchy patterns due to group dispersal. J. Theoret. Biol. 271 (2011), 87-99. doi: 10.1016/j.jtbi.2010.11.047
-
(2011)
J. Theoret. Biol.
, vol.271
, pp. 87-99
-
-
Soubeyrand, S.1
Roques, L.2
Coville, J.3
Fayard, J.4
-
52
-
-
77957053951
-
The growth of the infinite long-range percolation cluster
-
Trapman, P. The growth of the infinite long-range percolation cluster. Ann. Probab. 38 (2010), no. 4, 1583-1608. doi: 10.1214/09-AOP517
-
(2010)
Ann. Probab.
, vol.38
, Issue.4
, pp. 1583-1608
-
-
Trapman, P.1
-
53
-
-
0035633701
-
First-passage percolation on the random graph
-
van der Hofstad, R.; Hooghiemstra, G.; Van Mieghem, P. First-passage percolation on the random graph. Probab. Engrg. Inform. Sci. 15 (2001), no. 2, 225-237. doi: 10.1017/S026996480115206X
-
(2001)
Probab. Engrg. Inform. Sci.
, vol.15
, Issue.2
, pp. 225-237
-
-
van der Hofstad, R.1
Hooghiemstra, G.2
Van Mieghem, P.3
-
54
-
-
0003904893
-
-
Graduate Texts in Mathematics, 79. Springer, New York-Berlin
-
Walters, P. An introduction to ergodic theory. Graduate Texts in Mathematics, 79. Springer, New York-Berlin, 1982.
-
(1982)
An introduction to ergodic theory
-
-
Walters, P.1
-
55
-
-
0032482432
-
Collective dynamics of "small-world" networks
-
Watts, D. J.; Strogatz, S. H. Collective dynamics of "small-world" networks. Nature 393 (1998), no. 6684, 440-442.
-
(1998)
Nature
, vol.393
, Issue.6684
, pp. 440-442
-
-
Watts, D.J.1
Strogatz, S.H.2
|