The Annals of ProbabilityAn Official Journal of the Institute of Mathematical Statistics Short Title: Ann. Probab. Publisher: Institute of Mathematical Statistics (IMS), Beachwood, OH/Bethesda, MD ISSN: 0091-1798; 2168-894X/e Online: http://projecteuclid.org/all/euclid.aop Predecessor: Annals of Mathematical Statistics Comments: Journal; Indexed cover-to-cover Documents Indexed: 4,610 Publications (since 1973) References Indexed: 2,071 Publications with 55,830 References. all top 5 Latest Issues 52, No. 2 (2024) 52, No. 1 (2024) 51, No. 6 (2023) 51, No. 5 (2023) 51, No. 4 (2023) 51, No. 3 (2023) 51, No. 2 (2023) 51, No. 1 (2023) 50, No. 6 (2022) 50, No. 5 (2022) 50, No. 4 (2022) 50, No. 3 (2022) 50, No. 2 (2022) 50, No. 1 (2022) 49, No. 6 (2021) 49, No. 5 (2021) 49, No. 4 (2021) 49, No. 3 (2021) 49, No. 2 (2021) 49, No. 1 (2021) 48, No. 6 (2020) 48, No. 5 (2020) 48, No. 4 (2020) 48, No. 3 (2020) 48, No. 2 (2020) 48, No. 1 (2020) 47, No. 6 (2019) 47, No. 5 (2019) 47, No. 4 (2019) 47, No. 3 (2019) 47, No. 2 (2019) 47, No. 1 (2019) 46, No. 6 (2018) 46, No. 5 (2018) 46, No. 4 (2018) 46, No. 3 (2018) 46, No. 2 (2018) 46, No. 1 (2018) 45, No. 6B (2017) 45, No. 6A (2017) 45, No. 5 (2017) 45, No. 4 (2017) 45, No. 3 (2017) 45, No. 2 (2017) 45, No. 1 (2017) 44, No. 6 (2016) 44, No. 5 (2016) 44, No. 4 (2016) 44, No. 3 (2016) 44, No. 2 (2016) 44, No. 1 (2016) 43, No. 6 (2015) 43, No. 5 (2015) 43, No. 4 (2015) 43, No. 3 (2015) 43, No. 2 (2015) 43, No. 1 (2015) 42, No. 6 (2014) 42, No. 5 (2014) 42, No. 4 (2014) 42, No. 3 (2014) 42, No. 2 (2014) 42, No. 1 (2014) 41, No. 6 (2013) 41, No. 5 (2013) 41, No. 4 (2013) 41, No. 3B (2013) 41, No. 3A (2013) 41, No. 2 (2013) 41, No. 1 (2013) 40, No. 6 (2012) 40, No. 5 (2012) 40, No. 4 (2012) 40, No. 3 (2012) 40, No. 2 (2012) 40, No. 1 (2012) 39, No. 6 (2011) 39, No. 5 (2011) 39, No. 4 (2011) 39, No. 3 (2011) 39, No. 2 (2011) 39, No. 1 (2011) 38, No. 6 (2010) 38, No. 5 (2010) 38, No. 4 (2010) 38, No. 3 (2010) 38, No. 2 (2010) 38, No. 1 (2010) 37, No. 6 (2009) 37, No. 5 (2009) 37, No. 4 (2009) 37, No. 3 (2009) 37, No. 2 (2009) 37, No. 1 (2009) 36, No. 6 (2008) 36, No. 5 (2008) 36, No. 4 (2008) 36, No. 3 (2008) 36, No. 2 (2008) 36, No. 1 (2008) ...and 101 more Volumes all top 5 Authors 37 Talagrand, Michel 35 Peres, Yuval 35 Rosen, Jay S. 34 Nualart, David 28 Durrett, Richard Timothy 28 Liggett, Thomas Milton 28 Mason, David M. 27 Burdzy, Krzysztof 27 Klass, Michael J. 24 Hall, Peter Gavin 24 Kuelbs, James D. 24 Zinn, Joel 23 Adler, Robert Joseph 23 Pemantle, Robin 22 Bramson, Maury D. 22 Chen, Zhen-Qing 22 Cox, J. Theodore 22 Giné-Masdéu, Evarist 22 Marcus, Michael B. 22 Pitman, Jim William 22 Samorodnitsky, Gennady Pinkhosovich 21 Griffeath, David 21 Kesten, Harry 21 Le Gall, Jean-François 21 Zeitouni, Ofer 20 Bass, Richard F. 20 Götze, Friedrich 20 Khoshnevisan, Davar 20 Lai, Tze Leung 20 Perkins, Edwin A. 19 Dalang, Robert C. 19 Lyons, Russell 18 Kurtz, Thomas Gordon 18 Landim, Claudio 18 Müller, Carl E. 18 Pinsky, Ross George 17 Benjamini, Itai 17 Bolthausen, Erwin 17 Chen, Xia 17 Deheuvels, Paul 17 Dembo, Amir 17 Mytnik, Leonid 16 den Hollander, Frank 16 Deuschel, Jean-Dominique 16 Janson, Svante 16 Röckner, Michael 16 Seppäläinen, Timo 15 Alexander, Kenneth S. 15 Lalley, Steven P. 15 Miller, Jason P. 15 Mountford, Thomas S. 15 Nourdin, Ivan 15 Pruitt, William E. 15 Schonmann, Roberto Henrique 15 Sheffield, Scott 15 Shi, Zhan 14 Bertoin, Jean 14 Bobkov, Sergey Germanovich 14 Csörgő, Miklós 14 Kallenberg, Olav 14 Schramm, Oded 14 Shao, Qi-Man 14 Tindel, Samy 13 Ben Arous, Gérard 13 Berman, Simeon M. 13 Chen, Louis Hsiao-Yun 13 Dawson, Donald Andrew 13 Dupuis, Paul G. 13 Hairer, Martin 13 Lawler, Gregory Francis 13 Peccati, Giovanni 13 Sly, Allan 13 Steif, Jeffrey E. 13 Taqqu, Murad S. 12 Aldous, David John 12 de Acosta, Alejandro D. 12 de Haan, Laurens 12 Fleischmann, Klaus 12 Griffin, Philip S. 12 Jain, Naresh C. 12 Lee, Tzong-Yow 12 Newman, Charles Michael 12 Protter, Philip Elliott 12 Resnick, Sidney Ira 12 Rosiński, Jan 12 Shepp, Lawrence Alan 12 Sznitman, Alain-Sol 12 Virág, Bálint 12 Yor, Marc 11 Bai, Zhi-Dong 11 Diaconis, Persi Warren 11 Ding, Jian 11 Dudley, Richard Mansfield 11 Duminil-Copin, Hugo 11 Dynkin, Evgeniĭ Borisovich 11 Einmahl, Uwe 11 Ferrari, Pablo Augusto 11 Hahn, Marjorie Green 11 Hammond, Alan 11 Kieffer, John Cronan ...and 3,025 more Authors all top 5 Fields 4,478 Probability theory and stochastic processes (60-XX) 560 Statistical mechanics, structure of matter (82-XX) 476 Statistics (62-XX) 245 Partial differential equations (35-XX) 212 Measure and integration (28-XX) 200 Combinatorics (05-XX) 106 Dynamical systems and ergodic theory (37-XX) 99 Linear and multilinear algebra; matrix theory (15-XX) 86 Operator theory (47-XX) 85 Functional analysis (46-XX) 83 Potential theory (31-XX) 83 Global analysis, analysis on manifolds (58-XX) 61 Biology and other natural sciences (92-XX) 60 Systems theory; control (93-XX) 58 Real functions (26-XX) 56 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 54 Information and communication theory, circuits (94-XX) 47 Convex and discrete geometry (52-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 38 Operations research, mathematical programming (90-XX) 31 Functions of a complex variable (30-XX) 31 Ordinary differential equations (34-XX) 30 Numerical analysis (65-XX) 30 Computer science (68-XX) 29 Special functions (33-XX) 28 Number theory (11-XX) 25 Differential geometry (53-XX) 23 Fluid mechanics (76-XX) 22 Group theory and generalizations (20-XX) 18 Abstract harmonic analysis (43-XX) 17 Quantum theory (81-XX) 15 History and biography (01-XX) 14 Topological groups, Lie groups (22-XX) 13 Approximations and expansions (41-XX) 13 Integral transforms, operational calculus (44-XX) 12 Integral equations (45-XX) 11 Mathematical logic and foundations (03-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 General topology (54-XX) 7 Difference and functional equations (39-XX) 7 Sequences, series, summability (40-XX) 5 Geometry (51-XX) 4 Mechanics of deformable solids (74-XX) 4 Relativity and gravitational theory (83-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Manifolds and cell complexes (57-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,304 Publications have been cited 89,523 times in 46,667 Documents Cited by ▼ Year ▼ Discrete analogues of self-decomposability and stability. Zbl 0418.60020 Steutel, F. W.; van Harn, K. 384 1979 I-divergence geometry of probability distributions and minimization problems. Zbl 0318.60013 Csiszar, I. 356 1975 Backward stochastic differential equations and partial differential equations with quadratic growth. Zbl 1044.60045 Kobylanski, Magdalena 343 2000 Reflected solutions of backward SDE’s, and related obstacle problems for PDE’s. Zbl 0899.60047 El Karoui, N.; Kapoudjian, C.; Pardoux, E.; Peng, S.; Quenez, M. C. 340 1997 Distribution function inequalities for martingales. Zbl 0301.60035 Burkholder, D. L. 339 1973 Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Zbl 1086.15022 Baik, Jinho; Ben Arous, Gérard; Péché, Sandrine 295 2005 The continuum random tree. III. Zbl 0791.60009 Aldous, David 259 1993 The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Zbl 0880.60076 Pitman, Jim; Yor, Marc 255 1997 Weak limit theorems for stochastic integrals and stochastic differential equations. Zbl 0742.60053 Kurtz, Thomas G.; Protter, Philip 254 1991 Stochastic calculus with respect to Gaussian processes. Zbl 1015.60047 Alòs, Elisa; Mazet, Olivier; Nualart, David 253 2001 Random walks on discrete groups: Boundary and entropy. Zbl 0641.60009 Kaimanovich, V. A.; Vershik, A. M. 239 1983 Subadditive ergodic theory. Zbl 0311.60018 Kingman, J. F. C. 237 1973 Residual life time at great age. Zbl 0295.60014 Balkema, A. A.; de Haan, Laurens 228 1974 Occupation densities. Zbl 0499.60081 Geman, Donald; Horowitz, Joseph 226 1980 Central limit theorems for sequences of multiple stochastic integrals. Zbl 1097.60007 Nualart, David; Peccati, Giovanni 224 2005 The continuum random tree. I. Zbl 0722.60013 Aldous, David 222 1991 Poisson approximation for dependent trials. Zbl 0335.60016 Chen, Louis H. Y. 214 1975 Conformal invariance of planar loop-erased random walks and uniform spanning trees. Zbl 1126.82011 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin 214 2004 Contact interactions on a lattice. Zbl 0334.60052 Harris, T. E. 198 1974 Random walks in a random environment. Zbl 0305.60029 Solomon, Fred 197 1975 Two moments suffice for Poisson approximations: The Chen-Stein method. Zbl 0675.60017 Arratia, R.; Goldstein, L.; Gordon, L. 195 1989 CLT for linear spectral statistics of large-dimensional sample covariance matrices. Zbl 1063.60022 Bai, Z. D.; Silverstein, Jack W. 195 2004 Dependent central limit theorems and invariance principles. Zbl 0287.60025 McLeish, D. L. 195 1974 Large deviations of sums of independent random variables. Zbl 0418.60033 Nagaev, S. V. 195 1979 Stopping times and tightness. Zbl 0391.60007 Aldous, David 189 1978 Ergodic theorems for weakly interacting infinite systems and the voter model. Zbl 0367.60115 Holley, Richard A.; Liggett, Thomas M. 184 1975 Strict stationarity of generalized autoregressive processes. Zbl 0763.60015 Bougerol, Philippe; Picard, Nico 182 1992 Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes. Zbl 0840.60077 Lyons, Russell; Pemantle, Robin; Peres, Yuval 180 1995 Coalescents with multiple collisions. Zbl 0963.60079 Pitman, Jim 175 1999 The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality. Zbl 0713.62021 Massart, P. 175 1990 Sharper bounds for Gaussian and empirical processes. Zbl 0798.60051 Talagrand, M. 175 1994 Boundary value problems and sharp inequalities for martingale transforms. Zbl 0556.60021 Burkholder, D. L. 173 1984 On tail probabilities for martingales. Zbl 0313.60037 Freedman, David A. 172 1975 Inequalities for distributions with given marginals. Zbl 0459.62010 Tchen, Andre H. 170 1980 Domination by product measures. Zbl 0882.60046 Liggett, T. M.; Schonmann, R. H.; Stacey, A. M. 169 1997 A spectral representation for max-stable processes. Zbl 0597.60050 de Haan, Laurens 166 1984 Central limit theorems for empirical measures. Zbl 0404.60016 Dudley, R. M. 164 1978 Approximation theorems for independent and weakly dependent random vectors. Zbl 0392.60024 Berkes, Istvan; Philipp, Walter 162 1979 Some concepts of negative dependence. Zbl 0501.62037 Block, Henry W.; Savits, Thomas H.; Shaked, Moshe 160 1982 On the gap between deterministic and stochastic ordinary differential equations. Zbl 0391.60056 Sussmann, Hector J. 159 1978 Exponential and uniform ergodicity of Markov processes. Zbl 0852.60075 Down, D.; Meyn, S. P.; Tweedie, R. L. 157 1995 Backward stochastic differential equations with reflection and Dynkin games. Zbl 0876.60031 Cvitanić, Jakša; Karatzas, Ioannis 156 1996 Stochastic inequalities on partially ordered spaces. Zbl 0371.60013 Kamae, T.; Krengel, U.; O’Brien, G. L. 156 1977 Uniqueness and universality of the Brownian map. Zbl 1282.60014 Le Gall, Jean-François 156 2013 Reflected Brownian motion on an orthant. Zbl 0462.60073 Harrison, J. Michael; Reiman, Martin I. 155 1981 Some limit theorems for empirical processes (with discussion). Zbl 0553.60037 Giné, Evarist; Zinn, Joel 154 1984 Asymptotic error distributions for the Euler method for stochastic differential equations. Zbl 0937.60060 Jacod, Jean; Protter, Philip 154 1998 Mean-field backward stochastic differential equations: A limit approach. Zbl 1176.60042 Buckdahn, Rainer; Djehiche, Boualem; Li, Juan; Peng, Shige 153 2009 Invariant manifolds for stochastic partial differential equations. Zbl 1052.60048 Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn 152 2003 On the Poisson equation and diffusion approximation. I. Zbl 1029.60053 Pardoux, E.; Veretennikov, A. Yu. 151 2001 Limit of the smallest eigenvalue of a large dimensional sample covariance matrix. Zbl 0779.60026 Bai, Z. D.; Yin, Y. Q. 150 1993 Large deviations for infinite dimensional stochastic dynamical systems. Zbl 1155.60024 Budhiraja, Amarjit; Dupuis, Paul; Maroulas, Vasileios 150 2008 Oriented percolation in two dimensions. Zbl 0567.60095 Durrett, Richard 149 1984 Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 149 2015 Random matrices: universality of ESDs and the circular law. Zbl 1203.15025 Tao, Terence; Vu, Van; Krishnapur, Manjunath 147 2010 Tightness of probabilities on C([0,1];\(S_ p\)) and D([0,1];\(S_ p\)). Zbl 0527.60004 Mitoma, Itaru 145 1983 Shock models and wear processes. Zbl 0262.60067 Esary, J. D.; Marshall, A. W.; Proschan, F. 144 1973 No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices. Zbl 0937.60017 Bai, Z. D.; Silverstein, Jack W. 143 1998 Sample functions of the Gaussian process. Zbl 0261.60033 Dudley, R. M. 140 1973 Random walks and percolation on trees. Zbl 0714.60089 Lyons, Russell 138 1990 The law of large numbers and the central limit theorem in Banach spaces. Zbl 0368.60022 Hoffmann-Jørgensen, Jørgen; Pisier, G. 137 1976 Stationary max-stable fields associated to negative definite functions. Zbl 1208.60051 Kabluchko, Zakhar; Schlather, Martin; de Haan, Laurens 136 2009 A maximal inequality and dependent strong laws. Zbl 0353.60035 McLeish, D. L. 136 1975 Limit theory for moving averages of random variables with regularly varying tail probabilities. Zbl 0562.60026 Davis, Richard; Resnick, Sidney 135 1985 Bootstrapping general empirical measures. Zbl 0706.62017 Giné, Evarist; Zinn, Joel 134 1990 Strong solutions to the stochastic quantization equations. Zbl 1071.81070 Da Prato, Giuseppe; Debussche, Arnaud 131 2003 On skew Brownian motion. Zbl 0462.60076 Harrison, J. M.; Shepp, L. A. 131 1981 Mean-field stochastic differential equations and associated PDEs. Zbl 1402.60070 Buckdahn, Rainer; Li, Juan; Peng, Shige; Rainer, Catherine 131 2017 A limit theorem for the norm of random matrices. Zbl 0428.60039 Geman, Stuart 130 1980 A variational representation for certain functionals of Brownian motion. Zbl 0936.60059 Boué, Michelle; Dupuis, Paul 127 1998 Transportation cost-information inequalities and applications to random dynamical systems and diffusions. Zbl 1061.60011 Djellout, H.; Guillin, A.; Wu, L. 127 2004 Forward-backward stochastic differential equations and controlled McKean-Vlasov dynamics. Zbl 1322.93103 Carmona, René; Delarue, François 126 2015 Finite exchangeable sequences. Zbl 0434.60034 Diaconis, P.; Freedman, D. 123 1980 Functional Itō calculus and stochastic integral representation of martingales. Zbl 1272.60031 Cont, Rama; Fournié, David-Antoine 123 2013 On mixing and stability of limit theorems. Zbl 0376.60026 Aldous, D. J.; Eagleson, G. K. 122 1978 Finitely additive conditional probabilities, conglomerability and disintegrations. Zbl 0302.60002 Dubins, Lester E. 121 1975 The Euler scheme for Lévy driven stochastic differential equations. Zbl 0876.60030 Protter, Philip; Talay, Denis 121 1997 An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025 Gloria, Antoine; Otto, Felix 120 2011 Anticipated backward stochastic differential equations. Zbl 1186.60053 Peng, Shige; Yang, Zhe 119 2009 Strong stationary times via a new form of duality. Zbl 0723.60083 Diaconis, Persi; Fill, James Allen 117 1990 Conformal weldings of random surfaces: SLE and the quantum gravity zipper. Zbl 1388.60144 Sheffield, Scott 117 2016 Limit theorems for \(U\)-processes. Zbl 0789.60031 Arcones, Miguel A.; Giné, Evarist 115 1993 Fractional Cauchy problems on bounded domains. Zbl 1247.60078 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 114 2009 Global \(L_2\)-solutions of stochastic Navier-Stokes equations. Zbl 1098.60062 Mikulevicius, R.; Rozovskii, B. L. 114 2005 When is the Student \(t\)-statistic asymptotically standard normal? Zbl 0958.60023 Giné, Evarist; Götze, Friedrich; Mason, David M. 114 1997 Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law. Zbl 1272.05111 Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun 114 2013 The intermediate disorder regime for directed polymers in dimension \(1+1\). Zbl 1292.82014 Alberts, Tom; Khanin, Konstantin; Quastel, Jeremy 114 2014 Central limit theorem for linear eigenvalue statistics of random matrices with independent entries. Zbl 1180.15029 Lytova, A.; Pastur, L. 112 2009 Stochastic integration in UMD Banach spaces. Zbl 1121.60060 van Neerven, J. M. A. M.; Veraar, M. C.; Weis, L. 111 2007 Scaling for a one-dimensional directed polymer with boundary conditions. Zbl 1254.60098 Seppäläinen, Timo 110 2012 A strong law of large numbers for random compact sets. Zbl 0313.60012 Artstein, Zvi; Vitale, Richard A. 110 1975 The concept of normality for fuzzy random variables. Zbl 0583.60011 Puri, Madan L.; Ralescu, Dan A. 110 1985 Brownian excursions, critical random graphs and the multiplicative coalescent. Zbl 0877.60010 Aldous, David 110 1997 Invariant measures for the zero range process. Zbl 0492.60096 Andjel, Enrique Daniel 109 1982 A martingale approach to the law of large numbers for weakly interacting stochastic processes. Zbl 0544.60097 Oelschläger, Karl 109 1984 Central limit theorems for additive functionals of Markov chains. Zbl 1044.60014 Maxwell, Michael; Woodroofe, Michael 109 2000 Weighted empirical and quantile processes. Zbl 0589.60029 Csörgö, Miklós; Csörgö, Sándor; Horváth, Lajos; Mason, David M. 108 1986 Additive set-valued Markov processes and graphical methods. Zbl 0378.60106 Harris, T. E. 108 1978 Characterization of the law of the iterated logarithm in Banach spaces. Zbl 0662.60008 Ledoux, M.; Talagrand, M. 107 1988 Large deviations for a general class of random vectors. Zbl 0534.60026 Ellis, Richard S. 107 1984 Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier-Stokes equations: existence and nonuniqueness. Zbl 1514.35317 Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan 7 2023 Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\). Zbl 1515.60153 Duminil-Copin, Hugo; Rivera, Alejandro; Rodriguez, Pierre-François; Vanneuville, Hugo 6 2023 The stable graph: the metric space scaling limit of a critical random graph with i.i.d. power-law degrees. Zbl 1504.05262 Conchon-Kerjan, Guillaume; Goldschmidt, Christina 5 2023 High-dimensional near-critical percolation and the torus plateau. Zbl 07683767 Hutchcroft, Tom; Michta, Emmanuel; Slade, Gordon 5 2023 Expansion in supercritical random subgraphs of the hypercube and its consequences. Zbl 1506.05115 Erde, Joshua; Kang, Mihyun; Krivelevich, Michael 3 2023 The delocalized phase of the Anderson Hamiltonian in 1-D. Zbl 07690049 Dumaz, Laure; Labbé, Cyril 3 2023 Stability of Schrödinger potentials and convergence of Sinkhorn’s algorithm. Zbl 1518.90069 Nutz, Marcel; Wiesel, Johannes 3 2023 Secular coefficients and the holomorphic multiplicative chaos. Zbl 1518.60011 Najnudel, Joseph; Paquette, Elliot; Simm, Nick 2 2023 Mixing times for the TASEP in the maximal current phase. Zbl 07713549 Schmid, Dominik 2 2023 Absence of backward infinite paths for first-passage percolation in arbitrary dimension. Zbl 1522.60074 Brito, Gerandy; Damron, Michael; Hanson, Jack 2 2023 Poisson statistics and localization at the spectral edge of sparse Erdős-Rényi graphs. Zbl 1504.05260 Alt, Johannes; Ducatez, Raphael; Knowles, Antti 2 2023 Law of iterated logarithms and fractal properties of the KPZ equation. Zbl 1516.35573 Das, Sayan; Ghosal, Promit 2 2023 Universality of cutoff for exclusion with reservoirs. Zbl 1519.60072 Salez, Justin 2 2023 Berry-Esseen type bounds for the left random walk on \({\mathrm{GL}_d}(\mathbb{R})\) under polynomial moment conditions. Zbl 1519.60031 Cuny, C.; Dedecker, J.; Merlevède, F.; Peligrad, M. 2 2023 Concurrent Donsker-Varadhan and hydrodynamical large deviations. Zbl 1518.60035 Bertini, Lorenzo; Gabrielli, Davide; Landim, Claudio 1 2023 Monotone subsequences in locally uniform random permutations. Zbl 1527.60013 Sjöstrand, Jonas 1 2023 Exponential mixing for random dynamical systems and an example of Pierrehumbert. Zbl 1519.35258 Blumenthal, Alex; Zelati, Michele Coti; Gvalani, Rishabh S. 1 2023 Geometric and o-minimal Littlewood-Offord problems. Zbl 07628799 Fox, Jacob; Kwan, Matthew; Spink, Hunter 1 2023 Metastable behavior of weakly mixing Markov chains: the case of reversible, critical zero-range processes. Zbl 1515.60321 Landim, C.; Marcondes, D.; Seo, I. 1 2023 Universality of spin correlations in the Ising model on isoradial graphs. Zbl 1517.82012 Chelkak, Dmitry; Izyurov, Konstantin; Mahfouf, Rémy 1 2023 Improved log-concavity for rotationally invariant measures of symmetric convex sets. Zbl 07690053 Cordero-Erausquin, Dario; Rotem, Liran 1 2023 TAP approach for multispecies spherical spin glasses II: the free energy of the pure models. Zbl 1517.82042 Subag, Eliran 1 2023 KPZ-type fluctuation exponents for interacting diffusions in equilibrium. Zbl 1517.82047 Landon, Benjamin; Noack, Christian; Sosoe, Philippe 1 2023 More limiting distributions for eigenvalues of Wigner matrices. Zbl 1512.60014 Diaconu, Simona 1 2023 The critical 2d stochastic heat flow is not a Gaussian multiplicative chaos. Zbl 07795622 Caravenna, Francesco; Sun, Rongfeng; Zygouras, Nikos 1 2023 Universality of approximate message passing with semirandom matrices. Zbl 07793388 Dudeja, Rishabh; Lu, Yue M.; Sen, Subhabrata 1 2023 McKean-Vlasov optimal control: the dynamic programming principle. Zbl 1491.49018 Djete, Mao Fabrice; Possamaï, Dylan; Tan, Xiaolu 17 2022 Mean field games master equations with nonseparable Hamiltonians and displacement monotonicity. Zbl 1501.35403 Gangbo, Wilfrid; Mészáros, Alpár R.; Mou, Chenchen; Zhang, Jianfeng 13 2022 On the radius of Gaussian free field excursion clusters. Zbl 1512.60023 Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco 10 2022 Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations. Zbl 1513.37037 Bedrossian, Jacob; Blumenthal, Alex; Punshon-Smith, Samuel 10 2022 The Dirichlet-Ferguson diffusion on the space of probability measures over a closed Riemannian manifold. Zbl 07512872 Dello Schiavo, Lorenzo 9 2022 Hidden invariance of last passage percolation and directed polymers. Zbl 1499.60328 Dauvergne, Duncan 8 2022 Simple conformal loop ensembles on Liouville quantum gravity. Zbl 1502.60068 Miller, Jason; Sheffield, Scott; Werner, Wendelin 7 2022 Scaling and local limits of Baxter permutations and bipolar orientations through coalescent-walk processes. Zbl 1504.60163 Borga, Jacopo; Maazoun, Mickaël 6 2022 Three-halves variation of geodesics in the directed landscape. Zbl 1510.60087 Dauvergne, Duncan; Sarkar, Sourav; Virág, Bálint 6 2022 A phase transition for repeated averages. Zbl 1485.60069 Chatterjee, Sourav; Diaconis, Persi; Sly, Allan; Zhang, Lingfu 6 2022 A Smoluchowski-Kramers approximation for an infinite dimensional system with state-dependent damping. Zbl 1487.35033 Cerrai, Sandra; Xi, Guangyu 5 2022 \(\sqrt{\log t}\)-superdiffusivity for a Brownian particle in the curl of the 2D GFF. Zbl 1502.82015 Cannizzaro, Giuseppe; Haunschmid-Sibitz, Levi; Toninelli, Fabio 5 2022 Universality of the geodesic tree in last passage percolation. Zbl 1499.60325 Busani, Ofer; Ferrari, Patrik L. 5 2022 Large \(N\) limit of the \(O(N)\) linear sigma model via stochastic quantization. Zbl 1490.60192 Shen, Hao; Smith, Scott A.; Zhu, Rongchan; Zhu, Xiangchan 5 2022 Extremal distance and conformal radius of a \(\mathrm{CLE}_4\) loop. Zbl 1486.31005 Aru, Juhan; Lupu, Titus; Sepúlveda, Avelio 4 2022 Precise local estimates for differential equations driven by fractional Brownian motion: hypoelliptic case. Zbl 1505.60063 Geng, Xi; Ouyang, Cheng; Tindel, Samy 4 2022 Normal fluctuation in quantum ergodicity for Wigner matrices. Zbl 1502.60004 Cipolloni, Giorgio; Erdős, László; Schröder, Dominik 4 2022 Local limits of bipartite maps with prescribed face degrees in high genus. Zbl 1487.05240 Budzinski, Thomas; Louf, Baptiste 4 2022 Maximum and coupling of the sine-Gordon field. Zbl 1505.60054 Bauerschmidt, Roland; Hofstetter, Michael 3 2022 On multiple SLE for the FK-Ising model. Zbl 1486.60106 Izyurov, Konstantin 3 2022 The time constant for Bernoulli percolation is Lipschitz continuous strictly above \(p_c\). Zbl 1526.60051 Cerf, Raphaël; Dembin, Barbara 3 2022 Shannon’s theorem for locally compact groups. Zbl 1487.60008 Forghani, Behrang; Tiozzo, Giulio 3 2022 Universality of cutoff for graphs with an added random matching. Zbl 1486.05278 Hermon, Jonathan; Sly, Allan; Sousi, Perla 3 2022 An elliptic Harnack inequality for difference equations with random balanced coefficients. Zbl 1494.39011 Berger, Noam; Cohen, Moran; Deuschel, Jean-Dominique; Guo, Xiaoqin 2 2022 Critical prewetting in the 2d Ising model. Zbl 1502.60156 Ioffe, Dmitry; Ott, Sébastien; Shlosman, Senya; Velenik, Yvan 2 2022 A forward-backward SDE from the 2D nonlinear stochastic heat equation. Zbl 1487.35463 Dunlap, Alexander; Gu, Yu 2 2022 Multipoint distribution of TASEP. Zbl 1490.60279 Liu, Zhipeng 2 2022 Brownian loops and the central charge of a Liouville random surface. Zbl 1489.60014 Ang, Morris; Park, Minjae; Pfeffer, Joshua; Sheffield, Scott 2 2022 Forests, cumulants, martingales. Zbl 07527829 Friz, Peter K.; Gatheral, Jim; Radoičić, Radoš 2 2022 A fluctuation result for the displacement in the optimal matching problem. Zbl 1491.35137 Goldman, Michael; Huesmann, Martin 2 2022 Stationary distributions for the Voter model in \(d\geq 3\) are factors of IID. Zbl 1498.37085 Sly, Allan; Zhang, Lingfu 2 2022 Domains of attraction of invariant distributions of the infinite atlas model. Zbl 1489.60131 Banerjee, Sayan; Budhiraja, Amarjit 2 2022 Integration by parts and the KPZ two-point function. Zbl 1498.60135 Pimentel, Leandro P. R. 2 2022 Quantitative homogenization of interacting particle systems. Zbl 1500.35021 Giunti, Arianna; Gu, Chenlin; Mourrat, Jean-Christophe 2 2022 Slicing \(\ell_p\)-balls reloaded: stability, planar sections in \(\ell_1\). Zbl 1506.52003 Chasapis, Giorgos; Nayar, Piotr; Tkocz, Tomasz 2 2022 Yaglom limit for critical nonlocal branching Markov processes. Zbl 1505.82063 Harris, Simon C.; Horton, Emma; Kyprianou, Andreas E.; Wang, Minmin 2 2022 Asymptotic expansions for a class of Fredholm Pfaffians and interacting particle systems. Zbl 1510.60036 FitzGerald, Will; Tribe, Roger; Zaboronski, Oleg 2 2022 Cutoff for random lifts of weighted graphs. Zbl 1486.05284 Conchon-Kerjan, Guillaume 2 2022 On inhomogeneous polynuclear growth. Zbl 1487.60187 Johansson, Kurt; Rahman, Mustazee 1 2022 Hypercontractivity and lower deviation estimates in normed spaces. Zbl 1496.46006 Paouris, Grigoris; Tikhomirov, Konstantin; Valettas, Petros 1 2022 Convergence in law for complex Gaussian multiplicative chaos in phase III. Zbl 1487.60079 Lacoin, Hubert 1 2022 Surface transition in the collapsed phase of a self-interacting walk adsorbed along a hard wall. Zbl 1504.60193 Legrand, Alexandre; Pétrélis, Nicolas 1 2022 Hidden symmetries and limit laws in the extreme order statistics of the Laplace random walk. Zbl 1506.60047 Pitman, Jim; Tang, Wenpin 1 2022 Isoperimetric inequalities in the Brownian plane. Zbl 1498.60052 Riera, Armand 1 2022 Discrete self-similar and ergodic Markov chains. Zbl 1521.60042 Miclo, Laurent; Patie, Pierre; Sarkar, Rohan 1 2022 Brownian bees in the infinite swarm limit. Zbl 1500.60056 Berestycki, Julien; Brunet, Éric; Nolen, James; Penington, Sarah 1 2022 The free uniform spanning forest is disconnected in some virtually free groups, depending on the generator set. Zbl 1510.60090 Pete, Gábor; Timár, Ádám 1 2022 Scaling limit of the subdiffusive random walk on a Galton-Watson tree in random environment. Zbl 1498.60341 De Raphélis, Loïc 1 2022 Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding. Zbl 1478.60045 Miller, Jason; Sheffield, Scott 30 2021 Color-position symmetry in interacting particle systems. Zbl 1484.60106 Borodin, Alexei; Bufetov, Alexey 20 2021 Fractal geometry of \(\text{Airy}_2\) processes coupled via the Airy sheet. Zbl 1457.82165 Basu, Riddhipratim; Ganguly, Shirshendu; Hammond, Alan 18 2021 Diffusion approximation for fully coupled stochastic differential equations. Zbl 1487.60117 Röckner, Michael; Xie, Longjie 18 2021 The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity. Zbl 1484.60007 Gwynne, Ewain; Miller, Jason; Sheffield, Scott 18 2021 Bulk properties of the Airy line ensemble. Zbl 1484.60107 Dauvergne, Duncan; Virág, Bálint 18 2021 On stochastic equations with drift in \({L_d}\). Zbl 1489.60102 Krylov, N. V. 16 2021 On the uniqueness of global multiple SLEs. Zbl 1478.60225 Beffara, Vincent; Peltola, Eveliina; Wu, Hao 15 2021 Random walk on random planar maps: spectral dimension, resistance and displacement. 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Zbl 1467.60045 Corwin, Ivan; Ghosal, Promit; Hammond, Alan 8 2021 ...and 1787 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 28,941 Authors 146 Nualart, David 134 Röckner, Michael 124 Peres, Yuval 108 Wang, Feng-Yu 101 Horváth, Lajos 100 Chen, Zhen-Qing 98 Osękowski, Adam 87 Xiao, Yimin 87 Zhang, Tusheng S. 79 Durrett, Richard Timothy 79 Götze, Friedrich 79 Song, Renming 79 van der Hofstad, Remco W. 78 Peccati, Giovanni 78 Zeitouni, Ofer 76 Hashorva, Enkelejd 76 Mikosch, Thomas 75 Khoshnevisan, Davar 73 Lin, Zhengyan 71 Shao, Qi-Man 70 Janson, Svante 69 Csörgő, Miklós 69 Tudor, Ciprian A. 67 Bai, Zhi-Dong 67 Peligrad, Magda 67 Russo, Francesco 66 Nourdin, Ivan 66 Taqqu, Murad S. 65 Benjamini, Itai 65 Berkes, István 65 Thäle, Christoph 64 Tindel, Samy 63 den Hollander, Frank 63 Samorodnitsky, Gennady Pinkhosovich 63 Yan, Litan 63 Yor, Marc 63 Zhang, Xicheng 62 Kabluchko, Zakhar A. 61 Albeverio, Sergio A. 61 Diaconis, Persi Warren 61 Kyprianou, Andreas E. 61 Pitman, Jim William 61 Wang, Jian 60 Brzeźniak, Zdzisław 60 Erdős, László 60 Flandoli, Franco 60 Landim, Claudio 60 Mason, David M. 59 Borodin, Alexei 59 Bouzebda, Salim 59 Kim, Panki 59 Rosalsky, Andrew 59 Zhang, Li-Xin 57 Bobkov, Sergey Germanovich 57 Budhiraja, Amarjit S. 57 Hall, Peter Gavin 57 Mountford, Thomas S. 57 Ouknine, Youssef 56 Bertoin, Jean 55 Hairer, Martin 55 Iksanov, Aleksander M. 55 Sidoravicius, Vladas 54 Burdzy, Krzysztof 54 Seppäläinen, Timo 53 Hu, Yaozhong 53 Merlevède, Florence 53 Xiong, Jie 52 Leonenko, Nikolai N. 52 Li, Deli 52 Pardoux, Etienne 51 Corwin, Ivan Z. 51 Shi, Zhan 50 Duan, Jinqiao 50 Ferrari, Pablo Augusto 50 Ren, Yanxia 49 Ding, Jian 49 Friz, Peter 49 Resnick, Sidney Ira 49 Wang, Dehui 48 Devroye, Luc P. 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