-
1
-
-
0038931965
-
On the supremum of certain Gaussian processes
-
D. A. Darling, On the supremum of certain Gaussian processes, Ann. Prob. 11:803-806 (1983).
-
(1983)
Ann. Prob.
, vol.11
, pp. 803-806
-
-
Darling, D.A.1
-
2
-
-
0021493799
-
Kac's formula, Levy's local time and Brownian excursion
-
G. Louchard, Kac's formula, Levy's local time and Brownian excursion, J. Appl. Prob. 21:479-499 (1984).
-
(1984)
J. Appl. Prob.
, vol.21
, pp. 479-499
-
-
Louchard, G.1
-
3
-
-
0000703623
-
A Bernoulli excursion and its various applications
-
L. Takacs, A Bernoulli excursion and its various applications, Adv. Appl. Prob. 23:557-585, (1991);
-
(1991)
Adv. Appl. Prob.
, vol.23
, pp. 557-585
-
-
Takacs, L.1
-
4
-
-
21844510008
-
Limit distributions for the Bernoulli meander
-
Limit distributions for the Bernoulli meander, J. Appl. Prob. 32:375-395 (1995).
-
(1995)
J. Appl. Prob.
, vol.32
, pp. 375-395
-
-
-
6
-
-
0000654255
-
Some asymptotic properties of the local time of the uniform empirical processes
-
M. Csörgö, Z. Shi, and M. Yor, Some asymptotic properties of the local time of the uniform empirical processes, Bernoulli 5:1035-1058 (1999).
-
(1999)
Bernoulli
, vol.5
, pp. 1035-1058
-
-
Csörgö, M.1
Shi, Z.2
Yor, M.3
-
7
-
-
19544388116
-
On the analysis of linear probing hashing
-
P. Flajolet, P. Poblete, and A. Viola, On the analysis of linear probing hashing, Algorithmica 22:490-515 (1998).
-
(1998)
Algorithmica
, vol.22
, pp. 490-515
-
-
Flajolet, P.1
Poblete, P.2
Viola, A.3
-
8
-
-
0001463608
-
Analytic variations on the Airy distribution
-
P. Flajolet and G. Louchard, Analytic variations on the Airy distribution, Algorithmica 31:361-377 (2001).
-
(2001)
Algorithmica
, vol.31
, pp. 361-377
-
-
Flajolet, P.1
Louchard, G.2
-
9
-
-
3042622126
-
Airy phenomena and analytic combinatorics of connected graphs
-
P. Flajolet, B. Salvy, and G. Schaeffer, Airy phenomena and analytic combinatorics of connected graphs, Electron. J. Combin. 11:1-30 (2004).
-
(2004)
Electron. J. Combin.
, vol.11
, pp. 1-30
-
-
Flajolet, P.1
Salvy, B.2
Schaeffer, G.3
-
10
-
-
84968492823
-
The inversion enumerator for labelled trees
-
C. L. Mallows and J. Riordan, The inversion enumerator for labelled trees, Bull. Am. Math. Soc. 74:92-94 (1968);
-
(1968)
Bull. Am. Math. Soc.
, vol.74
, pp. 92-94
-
-
Mallows, C.L.1
Riordan, J.2
-
12
-
-
0001886010
-
The number of connected sparsely edged graphs
-
E. M. Wright, The number of connected sparsely edged graphs, J. Graph Theory 1:317-330 (1977);
-
(1977)
J. Graph Theory
, vol.1
, pp. 317-330
-
-
Wright, E.M.1
-
14
-
-
21744433341
-
-
3-Asymptotic results 4:393-407 (1980).
-
(1980)
3-asymptotic Results
, vol.4
, pp. 393-407
-
-
-
16
-
-
84990671427
-
-
S. Janson, D. E. Knuth, T. Luczak, and B. Pittel, Random Struct and Algorithms 4:233 (1993).
-
(1993)
Random Struct and Algorithms
, vol.4
, pp. 233
-
-
Janson, S.1
Knuth, D.E.2
Luczak, T.3
Pittel, B.4
-
17
-
-
0035860662
-
Scaling function and universal amplitude combinations for self avoiding polygons
-
C. Richard, A. J. Guttmann, and I. Jensen, Scaling function and universal amplitude combinations for self avoiding polygons, J. Phys. A: Math. Gen. 34:L495-501 (2001);
-
(2001)
J. Phys. A: Math. Gen.
, vol.34
-
-
Richard, C.1
Guttmann, A.J.2
Jensen, I.3
-
18
-
-
0036095316
-
Scaling behaviour of the two-dimensional polygons models
-
C. Richard, Scaling behaviour of the two-dimensional polygons models, J. Stat. Phys. 108:459-493 (2002);
-
(2002)
J. Stat. Phys.
, vol.108
, pp. 459-493
-
-
Richard, C.1
-
19
-
-
21744457581
-
Scaling function for self-avoiding polygons
-
eds. (Birkhauser), cond-mat/0302513
-
C. Richard, I. Jensen, and A. J. Guttmann, Scaling function for self-avoiding polygons, Proceedings of the International Congress on Theoretical Physics, Paris, July 2002, D. Iagolnitzer, D. Rivasseau, and J. Zinn-Justin, eds. (Birkhauser), cond-mat/0302513.
-
Proceedings of the International Congress on Theoretical Physics, Paris, July 2002, D. Iagolnitzer, D. Rivasseau, and J. Zinn-Justin
-
-
Richard, C.1
Jensen, I.2
Guttmann, A.J.3
-
20
-
-
2442532967
-
Area distribution of the planar random loop boundary
-
C. Richard, Area distribution of the planar random loop boundary, J. Phys. A: Math. Gen. 37:4493-4500 (2004).
-
(2004)
J. Phys. A: Math. Gen.
, vol.37
, pp. 4493-4500
-
-
Richard, C.1
-
21
-
-
3042834090
-
Exact maximal height distribution of fluctuating interfaces
-
S. N. Majumdar and A. Comtet, Exact maximal height distribution of fluctuating interfaces, Phys. Rev. Lett. 92:225501 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 225501
-
-
Majumdar, S.N.1
Comtet, A.2
-
23
-
-
0031097281
-
-
J. Krug, Adv. Phys. 46:139-282 (1997).
-
(1997)
Adv. Phys.
, vol.46
, pp. 139-282
-
-
Krug, J.1
-
24
-
-
0012575045
-
Kinetic roughening phenomena, stochastic growth, directed polymers and all that
-
T. Halpin-Healy and Y.-C. Zhang, Kinetic roughening phenomena, stochastic growth, directed polymers and all that, Phys. Rep. 254:215-414 (1995).
-
(1995)
Phys. Rep.
, vol.254
, pp. 215-414
-
-
Halpin-Healy, T.1
Zhang, Y.-C.2
-
26
-
-
0039768792
-
Universality classes for extreme value statistics
-
J.-P. Bouchaud and M. Mézard, Universality classes for extreme value statistics, J. Phys. A 30:7997-8015 (1997);
-
(1997)
J. Phys. A
, vol.30
, pp. 7997-8015
-
-
Bouchaud, J.-P.1
Mézard, M.2
-
27
-
-
18344395528
-
Glass transition of a particle in a random potential, front selection in non-linear renormalization group and entropic phenomena in Liouville and sinh-Gordon models
-
D. Carpentier and P. Le Doussal, Glass transition of a particle in a random potential, front selection in non-linear renormalization group and entropic phenomena in Liouville and sinh-Gordon models, Phys. Rev. E 63:026110 (2001);
-
(2001)
Phys. Rev. E
, vol.63
, pp. 026110
-
-
Carpentier, D.1
Le Doussal, P.2
-
28
-
-
0035473975
-
Extreme-value statistics of hierarchically correlated variables, deviation from Gumbel statistics and anomalous persistence
-
D. S. Dean and S. N. Majumdar, Extreme-value statistics of hierarchically correlated variables, deviation from Gumbel statistics and anomalous persistence, Phys. Rev. E 64:046121 (2001);
-
(2001)
Phys. Rev. E
, vol.64
, pp. 046121
-
-
Dean, D.S.1
Majumdar, S.N.2
-
29
-
-
0037211038
-
Exact solutions for the statistics of extrema of some random ID landscapes, application to the equilibrium and the dynamics of the toy model
-
P. LeDoussal and C. Monthus, Exact solutions for the statistics of extrema of some random ID landscapes, application to the equilibrium and the dynamics of the toy model, Physica A 317:140-198 (2003).
-
(2003)
Physica A
, vol.317
, pp. 140-198
-
-
LeDoussal, P.1
Monthus, C.2
-
30
-
-
0037302113
-
Extreme value statistics and traveling fronts: Various applications
-
For a review see, S. N. Majumdar and P. L. Krapivsky, Extreme value statistics and traveling fronts: various applications, Physica A 318:161-170 (2003).
-
(2003)
Physica A
, vol.318
, pp. 161-170
-
-
Majumdar, S.N.1
Krapivsky, P.L.2
-
32
-
-
42749108289
-
Maximal height scaling of kinetically growing surfaces
-
S. Raychaudhuri, M. Cranston, C. Przybyla, and Y. Shapir, Maximal height scaling of kinetically growing surfaces, Phys. Rev. Lett. 87:136101 (2001).
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 136101
-
-
Raychaudhuri, S.1
Cranston, M.2
Przybyla, C.3
Shapir, Y.4
-
33
-
-
0001884774
-
The surface statistics of a granular agregate
-
S. F. Edwards and D. R. Wilkinson, The surface statistics of a granular agregate, Proc. R. Soc. London A 381:17-31 (1982).
-
(1982)
Proc. R. Soc. London A
, vol.381
, pp. 17-31
-
-
Edwards, S.F.1
Wilkinson, D.R.2
-
35
-
-
0030365084
-
On the distribution of Brownian areas
-
M. Perman and J.A. Wellner, On the distribution of Brownian areas, Ann. Appl. Prob. 6:1091-1111 (1996).
-
(1996)
Ann. Appl. Prob.
, vol.6
, pp. 1091-1111
-
-
Perman, M.1
Wellner, J.A.2
-
36
-
-
0009153241
-
The Feynman-Kac formula and decomposition of Brownian paths
-
M. Jeanblanc, J. Pitman and M. Yor, The Feynman-Kac formula and decomposition of Brownian paths, Comput. Appl. Math. 16:27-52 (1997).
-
(1997)
Comput. Appl. Math.
, vol.16
, pp. 27-52
-
-
Jeanblanc, M.1
Pitman, J.2
Yor, M.3
-
39
-
-
0002954368
-
Integrals of products of Airy functions
-
J.R. Albright, Integrals of products of Airy functions, J. Phys. A 10:485-490 (1977).
-
(1977)
J. Phys. A
, vol.10
, pp. 485-490
-
-
Albright, J.R.1
-
40
-
-
4243339521
-
Width distribution for random-walk interfaces
-
G. Foltin, K. Oerding, Z. Racz, R. L. Workman, and R. K. P. Zia, Width distribution for random-walk interfaces, Phys. Rev. E 50:R639-642 (1994);
-
(1994)
Phys. Rev. E
, vol.50
-
-
Foltin, G.1
Oerding, K.2
Racz, Z.3
Workman, R.L.4
Zia, R.K.P.5
-
41
-
-
35949000462
-
Width distribution for 2+1 dimensional growth and deposition processes
-
Z. Racz and M. Plischke, Width distribution for 2+1 dimensional growth and deposition processes, Phys. Rev. E 50:3530-3537 (1994).
-
(1994)
Phys. Rev. E
, vol.50
, pp. 3530-3537
-
-
Racz, Z.1
Plischke, M.2
-
42
-
-
21344495631
-
Semiflexible polymer in the half plane and statistics of the integral of a Brownian curve
-
T. W. Burkhardt, Semiflexible polymer in the half plane and statistics of the integral of a Brownian curve, J. Phys. A 26:L1157-1162 (1993).
-
(1993)
J. Phys. A
, vol.26
-
-
Burkhardt, T.W.1
-
45
-
-
4244175659
-
Numerical solution of continuum equation for interface growth in 2+1 dimension
-
J. Amar and F. Family, Numerical solution of continuum equation for interface growth in 2+1 dimension, Phys. Rev. A 41:3399-3402 (1990).
-
(1990)
Phys. Rev. A
, vol.41
, pp. 3399-3402
-
-
Amar, J.1
Family, F.2
-
46
-
-
0001748697
-
Numerical solution of the Kardar-Parisi-Zhang equation in one,two and three dimensions
-
K. Moser, J. Kertész, and D. E. Wolf, Numerical solution of the Kardar-Parisi-Zhang equation in one,two and three dimensions, Physica A 178:215-226 (1991);
-
(1991)
Physica A
, vol.178
, pp. 215-226
-
-
Moser, K.1
Kertész, J.2
Wolf, D.E.3
-
47
-
-
21344490695
-
Vectorized and parallel simulations of the Kardar-Parisi-Zhang equation in 3+1 dimensions
-
K. Moser and D. E. Wolf, Vectorized and parallel simulations of the Kardar-Parisi-Zhang equation in 3+1 dimensions, J. Phys. A 27:4049-4054 (1994).
-
(1994)
J. Phys. A
, vol.27
, pp. 4049-4054
-
-
Moser, K.1
Wolf, D.E.2
-
48
-
-
0001397894
-
Controlled instability and multiscaling in models of epitaxial growth
-
C. Dasgupta, S. Das Sarma, and J. M. Kim, Controlled instability and multiscaling in models of epitaxial growth, Phys. Rev. E 54:R4552-4555 (1996);
-
(1996)
Phys. Rev. E
, vol.54
-
-
Dasgupta, C.1
Das Sarma, S.2
Kim, J.M.3
-
49
-
-
0000303095
-
Instability, intermittency, and multiscaling in discrete growth models of kinetic roughening
-
C. Dasgupta, J. M. Kim, M. Dutta, and S. Das Sarma, Instability, intermittency, and multiscaling in discrete growth models of kinetic roughening, Phys. Rev. E ibid. 55:2235-2254 (1997).
-
(1997)
Phys. Rev. E
, vol.55
, pp. 2235-2254
-
-
Dasgupta, C.1
Kim, J.M.2
Dutta, M.3
Das Sarma, S.4
-
50
-
-
0030597468
-
Strong coupling behaviour in discrete Kardar-Parisi-Zhang equation
-
T. J. Newman and A. J. Bray, Strong coupling behaviour in discrete Kardar-Parisi-Zhang equation, J. Phys. A 29:7917-7928 (1996).
-
(1996)
J. Phys. A
, vol.29
, pp. 7917-7928
-
-
Newman, T.J.1
Bray, A.J.2
-
51
-
-
0008970406
-
Anomaly in numerical integration of the Kardar-Parisi-Zhang equation
-
C.-H. Lam and F. G. Shin, Anomaly in numerical integration of the Kardar-Parisi-Zhang equation, Phys. Rev. E 57:6506-6511 (1998).
-
(1998)
Phys. Rev. E
, vol.57
, pp. 6506-6511
-
-
Lam, C.-H.1
Shin, F.G.2
-
52
-
-
0001988160
-
Improved discretisation of the Kardar-Parisi-Zhang equation
-
C.-H. Lam and F. G. Shin, Improved discretisation of the Kardar-Parisi-Zhang equation, Phys. Rev. E 58:5592-5595 (1998).
-
(1998)
Phys. Rev. E
, vol.58
, pp. 5592-5595
-
-
Lam, C.-H.1
Shin, F.G.2
-
53
-
-
21744449458
-
-
See Eq. (5.26) in rf. 40 where this result was attributed to unpublished work (1989) of T. Nieuwenhuizen
-
See Eq. (5.26) in rf. 40 where this result was attributed to unpublished work (1989) of T. Nieuwenhuizen.
-
-
-
-
54
-
-
0003499994
-
-
C. Godreche, ed. (Cambridge University Press, Cambridge)
-
For a review, see J. Krug and H. Spohn, in Solids Far From Equilibrium: Growth, Morphology and Defects, C. Godreche, ed. (Cambridge University Press, Cambridge, 1991).
-
(1991)
Solids Far from Equilibrium: Growth, Morphology and Defects
-
-
Krug, J.1
Spohn, H.2
-
55
-
-
0001500326
-
Ballistic deposition on surfaces
-
P. Meakin et al., Ballistic deposition on surfaces, Phys. Rev. A 34:5091 (1986).
-
(1986)
Phys. Rev. A
, vol.34
, pp. 5091
-
-
Meakin, P.1
-
56
-
-
36149030302
-
Exact solution of a 1-d asymmetric exclusion model using a matrix formulation
-
B. Derrida et. al., Exact solution of a 1-d asymmetric exclusion model using a matrix formulation, J. Phys. A 26:1493 (1993).
-
(1993)
J. Phys. A
, vol.26
, pp. 1493
-
-
Derrida, B.1
-
58
-
-
11744342693
-
Exact large deviation function in the asymmetric exclusion process
-
B. Derrida and J. L. Lebowitz, Exact large deviation function in the asymmetric exclusion process, Phys. Rev. Lett. 80:209-213 (1998);
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 209-213
-
-
Derrida, B.1
Lebowitz, J.L.2
-
59
-
-
0032589530
-
Universal large deviation function of the Kardar-Parisi-Zhang equation in one dimension
-
B. Derrida and C. Appert, Universal large deviation function of the Kardar-Parisi-Zhang equation in one dimension, J. Stat. Phys. 94:1-30 (1999).
-
(1999)
J. Stat. Phys.
, vol.94
, pp. 1-30
-
-
Derrida, B.1
Appert, C.2
-
60
-
-
0000439075
-
-
M. Praehofer and H. Spohn, Universal distribution of growth processes in 1+1 dimensions and random matrices, Phys. Rev. Lett. 84:4882-4885 (2000);
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 4882-4885
-
-
-
61
-
-
3142661743
-
Exact scaling function for one-dimensional stationary KPZ growth
-
Exact scaling function for one-dimensional stationary KPZ growth, J. Stat. Phys. 115:255-279 (2002).
-
(2002)
J. Stat. Phys.
, vol.115
, pp. 255-279
-
-
-
62
-
-
0034340689
-
Shape fluctuations and random matrices
-
K. Johansson, Shape fluctuations and random matrices Commun. Math. Phys. 209:437-476 (2000);
-
(2000)
Commun. Math. Phys.
, vol.209
, pp. 437-476
-
-
Johansson, K.1
-
63
-
-
0035534219
-
Limit theorems for height fluctuations in a class of discrete space and time growth models
-
J. Gravner, C. A. Tracy and H. Widom, Limit theorems for height fluctuations in a class of discrete space and time growth models J. Stat. Phys. 102:1085-1132 (2001);
-
(2001)
J. Stat. Phys.
, vol.102
, pp. 1085-1132
-
-
Gravner, J.1
Tracy, C.A.2
Widom, H.3
-
64
-
-
1842479828
-
Anisotropic ballistic deposition model with links to the Ulam problem and the Tracy-Widom distribution
-
S. N. Majumdar and S. Nechaev, Anisotropic ballistic deposition model with links to the Ulam problem and the Tracy-Widom distribution, Phys. Rev. E 69:011103 (2003);
-
(2003)
Phys. Rev. E
, vol.69
, pp. 011103
-
-
Majumdar, S.N.1
Nechaev, S.2
-
65
-
-
11244320531
-
Ploynuclear growth on a flat substrate and edge scaling of GOE eigenvalues
-
P. L. Ferrari, Ploynuclear growth on a flat substrate and edge scaling of GOE eigenvalues, Comm. Math. Phys. 252:77-109 (2004);
-
(2004)
Comm. Math. Phys.
, vol.252
, pp. 77-109
-
-
Ferrari, P.L.1
-
66
-
-
3543005380
-
Fluctuations of a one-dimensional polynuclear growth model in a half space
-
T. Imamura and T. Sasamoto, Fluctuations of a one-dimensional polynuclear growth model in a half space, J. Stat. Phys. 115:749-803 (2004).
-
(2004)
J. Stat. Phys.
, vol.115
, pp. 749-803
-
-
Imamura, T.1
Sasamoto, T.2
-
67
-
-
27644532196
-
Level-spacing distributions and the Airy kernel
-
C. A. Tracy and H. Widom, Level-spacing distributions and the Airy kernel, Commun. Math. Phys. 159:151-174 (1994).
-
(1994)
Commun. Math. Phys.
, vol.159
, pp. 151-174
-
-
Tracy, C.A.1
Widom, H.2
-
68
-
-
0942278448
-
Statistics of extreme intensities for Gaussian interfaces
-
G. Gyorgyi et al., Statistics of extreme intensities for Gaussian interfaces, Phys. Rev. E 68:056116 (2003).
-
(2003)
Phys. Rev. E
, vol.68
, pp. 056116
-
-
Gyorgyi, G.1
-
69
-
-
0037163790
-
Experimental persistence probability for fluctuating steps
-
D. B. Dougherty et al., Experimental persistence probability for fluctuating steps, Phys. Rev. Lett. 89:136102-136106 (2002);
-
(2002)
Phys. Rev. Lett.
, vol.89
, pp. 136102-136106
-
-
Dougherty, D.B.1
-
70
-
-
0141938829
-
Infinite family of persistence exponents for interface fluctuations
-
M. Constantin et al., Infinite family of persistence exponents for interface fluctuations, Phys. Rev. Lett. 91:086103 (2003);
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 086103
-
-
Constantin, M.1
-
71
-
-
33749513980
-
Survival in equilibrium step fluctuations
-
C. Dasgupta et al., Survival in equilibrium step fluctuations, Phys. Rev. E 69:022101 (2004).
-
(2004)
Phys. Rev. E
, vol.69
, pp. 022101
-
-
Dasgupta, C.1
-
72
-
-
0034957407
-
Step and island dynamics at solid/vacuum and solid/liquid interfaces
-
and references therein
-
M. Giesen, Step and island dynamics at solid/vacuum and solid/liquid interfaces Prog. Surf. Sci. 68:1-153 (2001) and references therein.
-
(2001)
Prog. Surf. Sci.
, vol.68
, pp. 1-153
-
-
Giesen, M.1
-
74
-
-
0000128854
-
Persistence exponents for fluctuating interfaces
-
J. Krug et al., Persistence exponents for fluctuating interfaces, Phys. Rev. E 56:2702-2712 (1997);
-
(1997)
Phys. Rev. E
, vol.56
, pp. 2702-2712
-
-
Krug, J.1
-
75
-
-
0032590157
-
Persistence of Kardar-Parisi-Zhang interfaces
-
H. Kallabis and J. Krug, Persistence of Kardar-Parisi-Zhang interfaces Europhys. Lett. 45:20-25 (1999);
-
(1999)
Europhys. Lett.
, vol.45
, pp. 20-25
-
-
Kallabis, H.1
Krug, J.2
-
76
-
-
0002003183
-
Nanoscale fluctuations at solid interfaces
-
Z. Toroczkai and E. D. Williams, Nanoscale fluctuations at solid interfaces, Phys. Today 52:No. 12,24-28 (1999);
-
(1999)
Phys. Today
, vol.52
, Issue.12
, pp. 24-28
-
-
Toroczkai, Z.1
Williams, E.D.2
-
77
-
-
4244069611
-
Spatial persistence of fluctuating interfaces
-
S. N. Majumdar and A. J. Bray, Spatial persistence of fluctuating interfaces, Phys. Rev. Lett. 86:3700-3703 (2001).
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 3700-3703
-
-
Majumdar, S.N.1
Bray, A.J.2
-
78
-
-
3342883712
-
Power law in surface physics: The deep, the shallow and the useful
-
J. Krug, Power law in surface physics: the deep, the shallow and the useful, Physica A 340:647 (2004).
-
(2004)
Physica A
, vol.340
, pp. 647
-
-
Krug, J.1
-
79
-
-
37649029886
-
Extreme fluctuations in small-world networks with relaxional dynamics
-
H. Guclu and G. Korniss, Extreme fluctuations in small-world networks with relaxional dynamics, Phys. Rev. E 69:065104(R) (2004).
-
(2004)
Phys. Rev. E
, vol.69
-
-
Guclu, H.1
Korniss, G.2
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