-
1
-
-
21144473666
-
Homogenization and two-scale convergence
-
MR 1185639. Zbl 0770.35005
-
G. Allaire, Homogenization and two-scale convergence, SIAM J. Math. Anal. 23 (1992), 1482-1518. MR 1185639. Zbl 0770.35005. http://dx.doi. org/10.1137/0523084.
-
(1992)
SIAM J. Math. Anal.
, vol.23
, pp. 1482-1518
-
-
Allaire, G.1
-
2
-
-
78650327767
-
Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
-
MR 2796514. Zbl 1222.82070
-
G. Amir, I. Corwin, and J. Quastel, Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions, Comm. Pure Appl. Math. 64 (2011), 466-537. MR 2796514. Zbl 1222.82070. http://dx.doi.org/10.1002/cpa.20347.
-
(2011)
Comm. Pure Appl. Math.
, vol.64
, pp. 466-537
-
-
Amir, G.1
Corwin, I.2
Quastel, J.3
-
3
-
-
0036109838
-
A pregenerator for Burgers equation forced by conservative noise
-
MR 1888875. Zbl 0992.35087
-
S. Assing, A pregenerator for Burgers equation forced by conservative noise, Comm. Math. Phys. 225 (2002), 611-632. MR 1888875. Zbl 0992.35087. http://dx.doi.org/10.1007/s002200100606.
-
(2002)
Comm. Math. Phys.
, vol.225
, pp. 611-632
-
-
Assing, S.1
-
4
-
-
84879261889
-
A rigorous equation for the Cole-Hopf solution of the conservative KPZ dynamics
-
arXiv 1109.2886
-
S. Assing, A rigorous equation for the Cole-Hopf solution of the conservative KPZ dynamics, 2011. arXiv 1109.2886.
-
(2011)
-
-
Assing, S.1
-
5
-
-
77956748241
-
Homogenization with large spatial random potential
-
MR 2718269. Zbl 1216.35185
-
G. Bal, Homogenization with large spatial random potential, Multiscale Model. Simul. 8 (2010), 1484-1510. MR 2718269. Zbl 1216.35185. http: //dx.doi.org/10.1137/090754066.
-
(2010)
Multiscale Model. Simul.
, vol.8
, pp. 1484-1510
-
-
Bal, G.1
-
6
-
-
80053028756
-
Convergence to homogenized or stochastic partial differential equations
-
AMRX MR 2835990. Zbl 1247.60088
-
G. Bal, Convergence to homogenized or stochastic partial differential equations, Appl. Math. Res. Express. AMRX (2011), 215-241. MR 2835990. Zbl 1247.60088.
-
(2011)
Appl. Math. Res. Express.
, pp. 215-241
-
-
Bal, G.1
-
7
-
-
79953753032
-
Fluctuation exponent of the KPZ/stochastic Burgers equation
-
MR 2784327. Zbl 1227.60083
-
M. Balázs, J. Quastel, and T. Seppäläinen, Fluctuation exponent of the KPZ/stochastic Burgers equation, J. Amer. Math. Soc. 24 (2011), 683-708. MR 2784327. Zbl 1227.60083. http://dx.doi.org/10.1090/ S0894-0347-2011-00692-9.
-
(2011)
J. Amer. Math. Soc.
, vol.24
, pp. 683-708
-
-
Balázs, M.1
Quastel, J.2
Seppäläinen, T.3
-
8
-
-
0031065063
-
Stochastic Burgers and KPZ equations from particle systems
-
MR 1462228. Zbl 0874.60059
-
L. Bertini and G. Giacomin, Stochastic Burgers and KPZ equations from particle systems, Comm. Math. Phys. 183 (1997), 571-607. MR 1462228. Zbl 0874.60059. http://dx.doi.org/10.1007/s002200050044.
-
(1997)
Comm. Math. Phys.
, vol.183
, pp. 571-607
-
-
Bertini, L.1
Giacomin, G.2
-
9
-
-
84879255684
-
Gaussian Measures, Math. Surveys Monogr
-
Providence, RI, 1998. MR 1642391. Zbl 0913.60035.
-
V. I. Bogachev, Gaussian Measures, Math. Surveys Monogr. 62, Amer. Math. Soc., Providence, RI, 1998. MR 1642391. Zbl 0913.60035.
-
Amer. Math. Soc.
, vol.62
-
-
Bogachev, V.I.1
-
10
-
-
0034424120
-
Central limit theorem for Maxwellian molecules and truncation of the Wild expansion
-
MR 1725612. Zbl 1028.82017
-
E. A. Carlen, M. C. Carvalho, and E. Gabetta, Central limit theorem for Maxwellian molecules and truncation of the Wild expansion, Comm. Pure Appl. Math. 53 (2000), 370-397. MR 1725612. Zbl 1028.82017. http://dx.doi.org/10.1002/(SICI)1097-0312(200003)53: 3h370::AID-CPA4i3.0.CO;2-0.
-
(2000)
Comm. Pure Appl. Math.
, vol.53
, pp. 370-397
-
-
Carlen, E.A.1
Carvalho, M.C.2
Gabetta, E.3
-
11
-
-
0001876061
-
Parabolic Anderson problem and intermittency
-
viii+125 MR 1185878. Zbl 0925.35074
-
R. A. Carmona and S. A. Molchanov, Parabolic Anderson problem and intermittency, Mem. Amer. Math. Soc. 108 (1994), viii+125. MR 1185878. Zbl 0925.35074.
-
(1994)
Mem. Amer. Math. Soc.
, vol.108
-
-
Carmona, R.A.1
Molchanov, S.A.2
-
12
-
-
67349199631
-
Partial differential equations driven by rough paths
-
MR 2510132. Zbl 1167.35386
-
M. Caruana and P. Friz, Partial differential equations driven by rough paths, J. Differential Equations 247 (2009), 140-173. MR 2510132. Zbl 1167.35386. http://dx.doi.org/10.1016/j.jde.2009.01.026.
-
(2009)
J. Differential Equations
, vol.247
, pp. 140-173
-
-
Caruana, M.1
Friz, P.2
-
13
-
-
79551485471
-
A (rough) pathwise approach to a class of non-linear stochastic partial differential equations
-
MR 2765508. Zbl 1219.60061.
-
M. Caruana, P. K. Friz, and H. Oberhauser, A (rough) pathwise approach to a class of non-linear stochastic partial differential equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 28 (2011), 27-46. MR 2765508. Zbl 1219.60061. http://dx.doi.org/10.1016/j.anihpc.2010.11.002.
-
(2011)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.28
, pp. 27-46
-
-
Caruana, M.1
Friz, P.K.2
Oberhauser, H.3
-
14
-
-
0034348846
-
Scaling limits of Wick ordered KPZ equation
-
MR 1743612. Zbl 0956.60077.
-
T. Chan, Scaling limits of Wick ordered KPZ equation, Comm. Math. Phys. 209 (2000), 671-690. MR 1743612. Zbl 0956.60077.
-
(2000)
Comm. Math. Phys.
, vol.209
, pp. 671-690
-
-
Chan, T.1
-
15
-
-
0000332692
-
On a quasi-linear parabolic equation occurring in aerodynamics
-
MR 0042889. Zbl 0043.09902.
-
J. D. Cole, On a quasi-linear parabolic equation occurring in aerodynamics, Quart. Appl. Math. 9 (1951), 225-236. MR 0042889. Zbl 0043.09902.
-
(1951)
Quart. Appl. Math.
, vol.9
, pp. 225-236
-
-
Cole, J.D.1
-
16
-
-
85043627068
-
The Kardar-Parisi-Zhang equation and universality class
-
MR 2930377. Zbl 1247.82040.
-
I. Corwin, The Kardar-Parisi-Zhang equation and universality class, Random Matrices Theory Appl. 1 (2012), 1130001, 76. MR 2930377. Zbl 1247.82040. http://dx.doi.org/10.1142/S2010326311300014.
-
(2012)
Random Matrices Theory Appl.
, vol.1
, Issue.76
, pp. 1130001
-
-
Corwin, I.1
-
17
-
-
84878964175
-
Crossover distributions at the edge of the rarefaction fan
-
I. Corwin and J. Quastel, Crossover distributions at the edge of the rarefaction fan, Ann. of Probability 41 (2013), 1243-1314. http://dx.doi. org/10.1214/11-AOP725.
-
(2013)
Ann. of Probability
, vol.41
, pp. 1243-1314
-
-
Corwin, I.1
Quastel, J.2
-
18
-
-
36849063582
-
A modied Kardar-Parisi- Zhang model
-
MR 2365646. Zbl 1136.60043.
-
G. Da Prato, A. Debussche, and L. Tubaro, A modied Kardar-Parisi- Zhang model, Electron. Comm. Probab. 12 (2007), 442-453. MR 2365646. Zbl 1136.60043. http://dx.doi.org/10.1214/ECP.v12-1333. [DPZ92] G. Da Prato and J. Zabczyk, Stochastic Equations in Innite Dimensions, Encyclopedia Math. Appl. 45, Cambridge Univ. Press, Cambridge, 1992. MR 1207136. Zbl 0761.60052. http://dx.doi.org/10.1017/CBO9780511666223.
-
(2007)
Electron. Comm. Probab.
, vol.12
, pp. 442-453
-
-
Da Prato, G.1
Debussche, A.2
Tubaro, L.3
-
19
-
-
0003805690
-
Stochastic Equations in Innite Dimensions
-
Cambridge Univ. Press, Cambridge, 1992. MR 1207136. Zbl 0761.60052.
-
G. Da Prato and J. Zabczyk, Stochastic Equations in Innite Dimensions, Encyclopedia Math. Appl. 45, Cambridge Univ. Press, Cambridge, 1992. MR 1207136. Zbl 0761.60052. http://dx.doi.org/10.1017/CBO9780511666223.
-
Encyclopedia Math. Appl.
, vol.45
-
-
Da Prato, G.1
Zabczyk, J.2
-
20
-
-
33749235993
-
Some SDEs with distributional drift. II. Lyons-Zheng structure, Itô's formula and semimartingale characterization
-
MR 2065168. Zbl 1088.60058
-
F. Flandoli, F. Russo, and J.Wolf, Some SDEs with distributional drift. II. Lyons-Zheng structure, Itô's formula and semimartingale characterization, Random Oper. Stochastic Equations 12 (2004), 145-184. MR 2065168. Zbl 1088.60058.
-
(2004)
Random Oper. Stochastic Equations
, vol.12
, pp. 145-184
-
-
Flandoli, F.1
Russo, F.2
Wolf, J.3
-
21
-
-
33747890718
-
A note on the notion of geometric rough paths
-
MR 2257130. Zbl 1108.34052.
-
P. Friz and N. Victoir, A note on the notion of geometric rough paths, Probab. Theory Related Fields 136 (2006), 395-416. MR 2257130. Zbl 1108.34052. http://dx.doi.org/10.1007/s00440-005-0487-7.
-
(2006)
Probab. Theory Related Fields
, vol.136
, pp. 395-416
-
-
Friz, P.1
Victoir, N.2
-
22
-
-
77952578029
-
Differential equations driven by Gaussian signals
-
MR 2667703. Zbl 1202.60058.
-
P. Friz and N. Victoir, Differential equations driven by Gaussian signals, Ann. Inst. Henri Poincaré Probab. Stat. 46 (2010), 369-413. MR 2667703. Zbl 1202.60058. http://dx.doi.org/10.1214/09-AIHP202.
-
(2010)
Ann. Inst. Henri Poincaré Probab. Stat.
, vol.46
, pp. 369-413
-
-
Friz, P.1
Victoir, N.2
-
23
-
-
80051695202
-
Multidimensional Stochastic Processes as Rough Paths
-
Cambridge Univ. Press, Cambridge, MR 2604669. Zbl 1193.60053
-
P. K. Friz and N. B. Victoir, Multidimensional Stochastic Processes as Rough Paths, Cambridge Stud. Adv. Math. 120, Cambridge Univ. Press, Cambridge, 2010. MR 2604669. Zbl 1193.60053. http://dx.doi.org/10.1017/CBO9780511845079.
-
(2010)
Cambridge Stud. Adv. Math.
, vol.120
-
-
Friz, P.K.1
Victoir, N.B.2
-
24
-
-
0038166410
-
Algebraic Graph Theory
-
Springer-Verlag, New York, MR 1829620. Zbl 0968.05002.
-
C. Godsil and G. Royle, Algebraic Graph Theory, Grad. Texts in Math. 207, Springer-Verlag, New York, 2001. MR 1829620. Zbl 0968.05002.
-
(2001)
Grad. Texts in Math.
, vol.207
-
-
Godsil, C.1
Royle, G.2
-
25
-
-
80052559180
-
Universality of KPZ equation
-
arXiv 1003.4478
-
P. Goncalves and M. Jara, Universality of KPZ equation, 2010. arXiv 1003.4478.
-
(2010)
-
-
Goncalves, P.1
Jara, M.2
-
26
-
-
4344654665
-
Controlling rough paths
-
MR 2091358. Zbl 1058.60037.
-
M. Gubinelli, Controlling rough paths, J. Funct. Anal. 216 (2004), 86-140. MR 2091358. Zbl 1058.60037. http://dx.doi.org/10.1016/j.jfa.2004.01.002.
-
(2004)
J. Funct. Anal.
, vol.216
, pp. 86-140
-
-
Gubinelli, M.1
-
27
-
-
77953669175
-
Rough evolution equations
-
MR 2599193. Zbl 1193.60070.
-
M. Gubinelli and S. Tindel, Rough evolution equations, Ann. Probab. 38 (2010), 1-75. MR 2599193. Zbl 1193.60070. http://dx.doi.org/10.1214/08-AOP437.
-
(2010)
Ann. Probab.
, vol.38
, pp. 1-75
-
-
Gubinelli, M.1
Tindel, S.2
-
28
-
-
80052022455
-
Rough stochastic PDEs
-
MR 2832168. Zbl 1229.60079.
-
M. Hairer, Rough stochastic PDEs, Comm. Pure Appl. Math. 64 (2011), 1547-1585. MR 2832168. Zbl 1229.60079. http://dx.doi.org/10.1002/cpa. 20383.
-
(2011)
Comm. Pure Appl. Math.
, vol.64
, pp. 1547-1585
-
-
Hairer, M.1
-
29
-
-
84855684969
-
Singular perturbations to semilinear stochastic heat equations
-
MR 2875759. Zbl 1251.60052.
-
M. Hairer, Singular perturbations to semilinear stochastic heat equations, Probab. Theory Related Fields 152 (2012), 265-297. MR 2875759. Zbl 1251.60052. http://dx.doi.org/10.1007/s00440-010-0322-7.
-
(2012)
Probab. Theory Related Fields
, vol.152
, pp. 265-297
-
-
Hairer, M.1
-
30
-
-
84867082613
-
A spatial version of the Itô-Stratonovich correction
-
MR 2978135. Zbl 06067453.
-
M. Hairer and J. Maas, A spatial version of the Itô-Stratonovich correction, Ann. Probab. 40 (2012), 1675-1714. MR 2978135. Zbl 06067453. http://dx.doi.org/10.1214/11-AOP662.
-
(2012)
Ann. Probab.
, vol.40
, pp. 1675-1714
-
-
Hairer, M.1
Maas, J.2
-
31
-
-
84879257150
-
Approximating rough stochastic PDEs
-
arXiv 1202.3094
-
M. Hairer and J. Maas, Approximating rough stochastic PDEs, 2012. arXiv 1202.3094.
-
(2012)
-
-
Hairer, M.1
Maas, J.2
-
32
-
-
79953275235
-
Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion
-
MR 2814425. Zbl 1221.60083.
-
M. Hairer and N. S. Pillai, Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion, Ann. Inst. Henri Poincaré Probab. Stat. 47 (2011), 601-628. MR 2814425. Zbl 1221.60083. http://dx.doi.org/10.1214/10-AIHP377.
-
(2011)
Ann. Inst. Henri Poincaré Probab. Stat.
, vol.47
, pp. 601-628
-
-
Hairer, M.1
Pillai, N.S.2
-
33
-
-
84872664612
-
Rough Burgers-like equations with multiplicative noise
-
MR 3010394. Zbl 06141053.
-
M. Hairer and H. Weber, Rough Burgers-like equations with multiplicative noise, Probab. Theory Related Fields 155 (2013), 71-126. MR 3010394. Zbl 06141053. http://dx.doi.org/10.1007/s00440-011-0392-1.
-
(2013)
Probab. Theory Related Fields
, vol.155
, pp. 71-126
-
-
Hairer, M.1
Weber, H.2
-
34
-
-
0003419903
-
Stochastic Partial Differential Equations. A Modeling
-
White Noise Functional Approach, Probab. Appl., Birkhäuser, Boston, MA, MR 1408433. Zbl 0860.60045.
-
H. Holden, B. Ksendal, J. Ube, and T. Zhang, Stochastic Partial Differential Equations. A Modeling, White Noise Functional Approach, Probab. Appl., Birkhäuser, Boston, MA, 1996. MR 1408433. Zbl 0860.60045.
-
(1996)
-
-
Holden, H.1
Ksendal, B.2
Ube, J.3
Zhang, T.4
-
35
-
-
84980078224
-
The partial differential equation ut + uux = uxx
-
MR 0047234. Zbl 0039.10403.
-
E. Hopf, The partial differential equation ut + uux = uxx, Comm. Pure Appl. Math. 3 (1950), 201-230. MR 0047234. Zbl 0039.10403. http: //dx.doi.org/10.1002/cpa.3160030302.
-
(1950)
Comm. Pure Appl. Math.
, vol.3
, pp. 201-230
-
-
Hopf, E.1
-
36
-
-
80052590927
-
Replica approach to the KPZ equation with the half Brownian motion initial condition
-
MR 2835150. Zbl 1227.82057.
-
T. Imamura and T. Sasamoto, Replica approach to the KPZ equation with the half Brownian motion initial condition, J. Phys. A 44 (2011), 385001, 29. MR 2835150. Zbl 1227.82057. http://dx.doi.org/10. 1088/1751-8113/44/38/385001.
-
(2011)
J. Phys.
, vol.44 A
, Issue.29
, pp. 385001
-
-
Imamura, T.1
Sasamoto, T.2
-
37
-
-
0034340689
-
Shape uctuations and random matrices
-
MR 1737991. Zbl 0969.15008.
-
K. Johansson, Shape uctuations and random matrices, Comm. Math. Phys. 209 (2000), 437-476. MR 1737991. Zbl 0969.15008. http://dx.doi.org/10.1007/s002200050027.
-
(2000)
Comm. Math. Phys.
, vol.209
, pp. 437-476
-
-
Johansson, K.1
-
38
-
-
0001257558
-
Roughening by impurities at nite temperatures
-
M. Karder, Roughening by impurities at nite temperatures, Phys. Rev. Lett. 55 (1985), 2923-2923. http://dx.doi.org/10.1103/PhysRevLett.55. 2923.
-
(1985)
Phys. Rev. Lett.
, vol.55
, pp. 2923-2923
-
-
Karder, M.1
-
39
-
-
4243979739
-
Dynamic scaling of growing interfaces
-
M. Karder, Dynamic scaling of growing interfaces, Phys. Rev. Lett. 56 (1986), 889-892. http://dx.doi.org/10.1103/PhysRevLett.56.889.
-
(1986)
Phys. Rev. Lett.
, vol.56
, pp. 889-892
-
-
Karder, M.1
-
40
-
-
46349102591
-
Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coecients
-
MR 2450159. Zbl 1157.35301.
-
C. Le Bris and P.-L. Lions, Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coecients, Comm. Partial Differential Equations 33 (2008), 1272-1317. MR 2450159. Zbl 1157.35301. http://dx.doi.org/10.1080/03605300801970952.
-
(2008)
Comm. Partial Differential Equations
, vol.33
, pp. 1272-1317
-
-
Le Bris, C.1
Lions, P.-L.2
-
41
-
-
0039348866
-
On the non-existence of path integrals
-
MR 1116958. Zbl 0745.60051.
-
T. Lyons, On the non-existence of path integrals, Proc. Roy. Soc. London Ser. A 432 (1991), 281-290. MR 1116958. Zbl 0745.60051. http://dx.doi.org/10.1098/rspa.1991.0017.
-
(1991)
Proc. Roy. Soc. London Ser.
, vol.432 A
, pp. 281-290
-
-
Lyons, T.1
-
42
-
-
0032347402
-
Differential equations driven by rough signals
-
MR 1654527. Zbl 0923.34056.
-
T. J. Lyons, Differential equations driven by rough signals, Rev. Mat. Iberoamericana 14 (1998), 215-310. MR 1654527. Zbl 0923.34056. http://dx.doi.org/10.4171/RMI/240.
-
(1998)
Rev. Mat. Iberoamericana
, vol.14
, pp. 215-310
-
-
Lyons, T.J.1
-
43
-
-
77952721781
-
Differential Equations Driven by Rough Paths
-
Springer-Verlag, New York, 2007, Lectures from the 34th Summer School on Probability Theory held in Saint-Flour, July 6-24, 2004, with an introduction concerning the Summer School by Jean Picard. MR 2314753. Zbl 1176.60002
-
T. J. Lyons, M. Caruana, and T. Lévy, Differential Equations Driven by Rough Paths, Lecture Notes in Math. 1908, Springer-Verlag, New York, 2007, Lectures from the 34th Summer School on Probability Theory held in Saint-Flour, July 6-24, 2004, with an introduction concerning the Summer School by Jean Picard. MR 2314753. Zbl 1176.60002.
-
(1908)
Lecture Notes in Math.
-
-
Lyons, T.J.1
Caruana, M.2
Lévy, T.3
-
44
-
-
0004306406
-
System Control and Rough Paths
-
Oxford University Press, Oxford, 2002, Oxford Science Publications. MR 2036784. Zbl 1029.93001.
-
T. Lyons and Z. Qian, System Control and Rough Paths, Oxford Math. Monogr., Oxford University Press, Oxford, 2002, Oxford Science Publications. MR 2036784. Zbl 1029.93001. http://dx.doi.org/10.1093/acprof: oso/9780198506485.001.0001.
-
Oxford Math. Monogr.
-
-
Lyons, T.1
Qian, Z.2
-
45
-
-
0002166759
-
An exponential formula for solving Boltmann's equation for a Maxwellian gas
-
MR 0224348. Zbl 0152.46501.
-
H. P. McKean, Jr., An exponential formula for solving Boltmann's equation for a Maxwellian gas, J. Combinatorial Theory 2 (1967), 358-382. MR 0224348. Zbl 0152.46501. http://dx.doi.org/10.1016/S0021-9800(67) 80035-8.
-
(1967)
J. Combinatorial Theory
, vol.2
, pp. 358-382
-
-
McKean Jr, H.P.1
-
46
-
-
0000315621
-
A general convergence result for a functional related to the theory of homogenization
-
MR 0990867. Zbl 0688.35007.
-
G. Nguetseng, A general convergence result for a functional related to the theory of homogenization, SIAM J. Math. Anal. 20 (1989), 608-623. MR 0990867. Zbl 0688.35007. http://dx.doi.org/10.1137/0520043.
-
(1989)
SIAM J. Math. Anal.
, vol.20
, pp. 608-623
-
-
Nguetseng, G.1
-
47
-
-
0003326139
-
The Malliavin Calculus and Related Topics
-
Springer-Verlag, New York, MR 1344217. Zbl 0837.60050.
-
D. Nualart, The Malliavin Calculus and Related Topics, Probab. Appl., Springer-Verlag, New York, 1995. MR 1344217. Zbl 0837.60050.
-
(1995)
Probab. Appl.
-
-
Nualart, D.1
-
48
-
-
84863096553
-
A multi-layer extension of the stochastic heat equation
-
arXiv 1104.3509
-
N. O'Connell and J. Warren, A multi-layer extension of the stochastic heat equation, 2011. arXiv 1104.3509.
-
(2011)
-
-
O'Connell, N.1
Warren, J.2
-
49
-
-
84862983285
-
Homogenization of a singular random one-dimensional PDE with time-varying coecients
-
MR 2962093. Zbl 1255.60108.
-
É. Pardoux and A. Piatnitski, Homogenization of a singular random one-dimensional PDE with time-varying coecients, Ann. Probab. 40 (2012), 1316-1356. MR 2962093. Zbl 1255.60108. http://dx.doi.org/10. 1214/11-AOP650.
-
(2012)
Ann. Probab.
, vol.40
, pp. 1316-1356
-
-
Pardoux, E.1
Piatnitski, A.2
-
50
-
-
78049449663
-
Feynman diagrams for pedestrians and mathematicians, in Graphs and Patterns in Mathematics and Theoretical Physics,
-
Amer. Math. Soc., Providence, RI, MR 2131010. Zbl 1080.81047.
-
M. Polyak, Feynman diagrams for pedestrians and mathematicians, in Graphs and Patterns in Mathematics and Theoretical Physics, Proc. Sympos. Pure Math. 73, Amer. Math. Soc., Providence, RI, 2005, pp. 15- 42. MR 2131010. Zbl 1080.81047. http://dx.doi.org/10.1090/pspum/073/2131010.
-
(2005)
Proc. Sympos. Pure Math.
, vol.73
, pp. 15-42
-
-
Polyak, M.1
-
51
-
-
51949103211
-
Some parabolic PDEs whose drift is an irregular random noise in space
-
MR 2353387. Zbl 1147.60042.
-
F. Russo and G. Trutnau, Some parabolic PDEs whose drift is an irregular random noise in space, Ann. Probab. 35 (2007), 2213-2262. MR 2353387. Zbl 1147.60042. http://dx.doi.org/10.1214/009117906000001178.
-
(2007)
Ann. Probab.
, vol.35
, pp. 2213-2262
-
-
Russo, F.1
Trutnau, G.2
-
52
-
-
74449092936
-
Superdiffusivity of the 1D lattice Kardar- Parisi-Zhang equation
-
MR 2570756. Zbl 1183.82019.
-
T. Sasamoto and H. Spohn, Superdiffusivity of the 1D lattice Kardar- Parisi-Zhang equation, J. Stat. Phys. 137 (2009), 917-935. MR 2570756. Zbl 1183.82019. http://dx.doi.org/10.1007/s10955-009-9831-0.
-
(2009)
J. Stat. Phys.
, vol.137
, pp. 917-935
-
-
Sasamoto, T.1
Spohn, H.2
-
53
-
-
77952885302
-
Exact height distributions for the KPZ equation with narrow wedge initial condition
-
MR 2628936. Zbl 1204.35137.
-
T. Sasamoto and H. Spohn, Exact height distributions for the KPZ equation with narrow wedge initial condition, Nuclear Phys. B 834 (2010), 523- 542. MR 2628936. Zbl 1204.35137. http://dx.doi.org/10.1016/j.nuclphysb. 2010.03.026.
-
(2010)
Nuclear Phys. B
, vol.834
, pp. 523-542
-
-
Sasamoto, T.1
Spohn, H.2
-
54
-
-
77953526534
-
One-dimensional Kardar-Parisi-Zhang equation: An exact solution and its universality
-
MR 0230602.
-
T. Sasamoto and H. Spohn, One-dimensional Kardar-Parisi-Zhang equation: An exact solution and its universality, Phys. Rev. Lett. 104 (2010), 4pp. MR 0230602. http://dx.doi.org/10.1103/PhysRevLett.104.230602.
-
(2010)
Phys. Rev. Lett.
, vol.104
, pp. 4
-
-
Sasamoto, T.1
Spohn, H.2
-
55
-
-
80051696227
-
Another approach to some rough and stochastic partial differential equations
-
MR 2836540. Zbl 1234.35330.
-
J. Teichmann, Another approach to some rough and stochastic partial differential equations, Stoch. Dyn. 11 (2011), 535-550. MR 2836540. Zbl 1234.35330. http://dx.doi.org/10.1142/S0219493711003437.
-
(2011)
Stoch. Dyn.
, vol.11
, pp. 535-550
-
-
Teichmann, J.1
-
56
-
-
46349105749
-
A Fredholm determinant representation in ASEP
-
MR 2415104. Zbl 1144.82045.
-
C. A. Tracy and H. Widom, A Fredholm determinant representation in ASEP, J. Stat. Phys. 132 (2008), 291-300. MR 2415104. Zbl 1144.82045. http://dx.doi.org/10.1007/s10955-008-9562-7.
-
(2008)
J. Stat. Phys.
, vol.132
, pp. 291-300
-
-
Tracy, C.A.1
Widom, H.2
-
57
-
-
41149087607
-
Integral formulas for the asymmetric simple exclusion process
-
MR 2386729. Zbl 1148.60080.
-
C. A. Tracy and H. Widom, Integral formulas for the asymmetric simple exclusion process, Comm. Math. Phys. 279 (2008), 815-844. MR 2386729. Zbl 1148.60080. http://dx.doi.org/10.1007/s00220-008-0443-3.
-
(2008)
Comm. Math. Phys.
, vol.279
, pp. 815-844
-
-
Tracy, C.A.1
Widom, H.2
-
58
-
-
70349658863
-
Asymptotics in ASEP with step initial condition
-
MR 2520510. Zbl 1184.60036.
-
C. A. Tracy and H. Widom, Asymptotics in ASEP with step initial condition, Comm. Math. Phys. 290 (2009), 129-154. MR 2520510. Zbl 1184.60036. http://dx.doi.org/10.1007/s00220-009-0761-0.
-
(2009)
Comm. Math. Phys.
, vol.290
, pp. 129-154
-
-
Tracy, C.A.1
Widom, H.2
-
59
-
-
84959596494
-
On Boltzmann's equation in the kinetic theory of gases
-
MR 0042999. Zbl 0043.43703.
-
E. Wild, On Boltzmann's equation in the kinetic theory of gases, Proc. Cambridge Philos. Soc. 47 (1951), 602-609. MR 0042999. Zbl 0043.43703. http://dx.doi.org/10.1017/S0305004100026992.
-
(1951)
Proc. Cambridge Philos. Soc.
, vol.47
, pp. 602-609
-
-
Wild, E.1
-
60
-
-
0000821514
-
An inequality of the Hölder type. connected with Stieltjes integration
-
MR 1555421. Zbl 0016.10404.
-
L. C. Young, An inequality of the Hölder type, connected with Stieltjes integration, Acta Math. 67 (1936), 251-282. MR 1555421. Zbl 0016.10404. http://dx.doi.org/10.1007/BF02401743.
-
(1936)
Acta Math.
, vol.67
, pp. 251-282
-
-
Young, L.C.1
|