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: 4,644 Publications (since 1973) References Indexed: 2,105 Publications with 57,306 References. all top 5 Latest Issues 52, No. 6 (2024) 52, No. 5 (2024) 52, No. 4 (2024) 52, No. 3 (2024) 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) ...and 105 more Volumes all top 5 Authors 37 Talagrand, Michel 35 Peres, Yuval 35 Rosen, Jay S. 34 Nualart, David 28 Burdzy, Krzysztof 28 Durrett, Richard Timothy 28 Liggett, Thomas Milton 28 Mason, David Michael 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 22 Zeitouni, Ofer 21 Griffeath, David 21 Kesten, Harry 21 Le Gall, Jean-François 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 Dembo, Amir 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 Mytnik, Leonid 16 den Hollander, Frank 16 Deuschel, Jean-Dominique 16 Janson, Svante 16 Röckner, Michael 16 Seppäläinen, Timo 16 Sheffield, Scott 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 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 3,052 more Authors all top 5 Fields 4,511 Probability theory and stochastic processes (60-XX) 570 Statistical mechanics, structure of matter (82-XX) 477 Statistics (62-XX) 248 Partial differential equations (35-XX) 213 Measure and integration (28-XX) 205 Combinatorics (05-XX) 107 Dynamical systems and ergodic theory (37-XX) 100 Linear and multilinear algebra; matrix theory (15-XX) 87 Operator theory (47-XX) 85 Functional analysis (46-XX) 84 Global analysis, analysis on manifolds (58-XX) 83 Potential theory (31-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) 46 Calculus of variations and optimal control; optimization (49-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 39 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) 26 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) 10 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 Several complex variables and analytic spaces (32-XX) 4 Mechanics of deformable solids (74-XX) 4 Relativity and gravitational theory (83-XX) 3 Manifolds and cell complexes (57-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 1 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 4,351 Publications have been cited 96,656 times in 50,220 Documents Cited by ▼ Year ▼ Discrete analogues of self-decomposability and stability. Zbl 0418.60020 Steutel, F. W.; van Harn, K. 421 1979 I-divergence geometry of probability distributions and minimization problems. Zbl 0318.60013 Csiszar, I. 386 1975 Backward stochastic differential equations and partial differential equations with quadratic growth. Zbl 1044.60045 Kobylanski, Magdalena 374 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. 361 1997 Distribution function inequalities for martingales. Zbl 0301.60035 Burkholder, D. L. 352 1973 Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Zbl 1086.15022 Baik, Jinho; Ben Arous, Gérard; Péché, Sandrine 326 2005 The continuum random tree. III. Zbl 0791.60009 Aldous, David 285 1993 The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Zbl 0880.60076 Pitman, Jim; Yor, Marc 280 1997 Stochastic calculus with respect to Gaussian processes. Zbl 1015.60047 Alòs, Elisa; Mazet, Olivier; Nualart, David 272 2001 Weak limit theorems for stochastic integrals and stochastic differential equations. Zbl 0742.60053 Kurtz, Thomas G.; Protter, Philip 261 1991 Residual life time at great age. Zbl 0295.60014 Balkema, A. A.; de Haan, Laurens 256 1974 Random walks on discrete groups: Boundary and entropy. Zbl 0641.60009 Kaimanovich, V. A.; Vershik, A. M. 251 1983 Subadditive ergodic theory. Zbl 0311.60018 Kingman, J. F. C. 250 1973 The continuum random tree. I. Zbl 0722.60013 Aldous, David 245 1991 Occupation densities. Zbl 0499.60081 Geman, Donald; Horowitz, Joseph 233 1980 Central limit theorems for sequences of multiple stochastic integrals. Zbl 1097.60007 Nualart, David; Peccati, Giovanni 232 2005 Conformal invariance of planar loop-erased random walks and uniform spanning trees. Zbl 1126.82011 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin 229 2004 Contact interactions on a lattice. Zbl 0334.60052 Harris, T. E. 221 1974 Poisson approximation for dependent trials. Zbl 0335.60016 Chen, Louis H. Y. 221 1975 Ergodic theorems for weakly interacting infinite systems and the voter model. Zbl 0367.60115 Holley, Richard A.; Liggett, Thomas M. 216 1975 Random walks in a random environment. Zbl 0305.60029 Solomon, Fred 214 1975 CLT for linear spectral statistics of large-dimensional sample covariance matrices. Zbl 1063.60022 Bai, Z. D.; Silverstein, Jack W. 212 2004 Two moments suffice for Poisson approximations: The Chen-Stein method. Zbl 0675.60017 Arratia, R.; Goldstein, L.; Gordon, L. 212 1989 Stopping times and tightness. Zbl 0391.60007 Aldous, David 206 1978 Large deviations of sums of independent random variables. Zbl 0418.60033 Nagaev, S. V. 205 1979 Dependent central limit theorems and invariance principles. Zbl 0287.60025 McLeish, D. L. 205 1974 On tail probabilities for martingales. Zbl 0313.60037 Freedman, David A. 205 1975 The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality. Zbl 0713.62021 Massart, P. 201 1990 Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes. Zbl 0840.60077 Lyons, Russell; Pemantle, Robin; Peres, Yuval 193 1995 Coalescents with multiple collisions. Zbl 0963.60079 Pitman, Jim 190 1999 Strict stationarity of generalized autoregressive processes. Zbl 0763.60015 Bougerol, Philippe; Picard, Nico 189 1992 A spectral representation for max-stable processes. Zbl 0597.60050 de Haan, Laurens 188 1984 Domination by product measures. Zbl 0882.60046 Liggett, T. M.; Schonmann, R. H.; Stacey, A. M. 187 1997 Sharper bounds for Gaussian and empirical processes. Zbl 0798.60051 Talagrand, M. 185 1994 Boundary value problems and sharp inequalities for martingale transforms. Zbl 0556.60021 Burkholder, D. L. 184 1984 Uniqueness and universality of the Brownian map. Zbl 1282.60014 Le Gall, Jean-François 177 2013 Inequalities for distributions with given marginals. Zbl 0459.62010 Tchen, Andre H. 177 1980 Mean-field backward stochastic differential equations: A limit approach. Zbl 1176.60042 Buckdahn, Rainer; Djehiche, Boualem; Li, Juan; Peng, Shige 175 2009 Large deviations for infinite dimensional stochastic dynamical systems. Zbl 1155.60024 Budhiraja, Amarjit; Dupuis, Paul; Maroulas, Vasileios 173 2008 Central limit theorems for empirical measures. Zbl 0404.60016 Dudley, R. M. 172 1978 Approximation theorems for independent and weakly dependent random vectors. Zbl 0392.60024 Berkes, Istvan; Philipp, Walter 169 1979 Some concepts of negative dependence. Zbl 0501.62037 Block, Henry W.; Savits, Thomas H.; Shaked, Moshe 169 1982 Backward stochastic differential equations with reflection and Dynkin games. Zbl 0876.60031 Cvitanić, Jakša; Karatzas, Ioannis 168 1996 On the gap between deterministic and stochastic ordinary differential equations. Zbl 0391.60056 Sussmann, Hector J. 166 1978 Limit of the smallest eigenvalue of a large dimensional sample covariance matrix. Zbl 0779.60026 Bai, Z. D.; Yin, Y. Q. 164 1993 Exponential and uniform ergodicity of Markov processes. Zbl 0852.60075 Down, D.; Meyn, S. P.; Tweedie, R. L. 164 1995 Invariant manifolds for stochastic partial differential equations. Zbl 1052.60048 Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn 163 2003 Reflected Brownian motion on an orthant. Zbl 0462.60073 Harrison, J. Michael; Reiman, Martin I. 163 1981 Random matrices: universality of ESDs and the circular law. Zbl 1203.15025 Tao, Terence; Vu, Van; Krishnapur, Manjunath 162 2010 Asymptotic error distributions for the Euler method for stochastic differential equations. Zbl 0937.60060 Jacod, Jean; Protter, Philip 161 1998 On the Poisson equation and diffusion approximation. I. Zbl 1029.60053 Pardoux, E.; Veretennikov, A. Yu. 160 2001 Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 160 2015 Some limit theorems for empirical processes (with discussion). Zbl 0553.60037 Giné, Evarist; Zinn, Joel 160 1984 Stationary max-stable fields associated to negative definite functions. Zbl 1208.60051 Kabluchko, Zakhar; Schlather, Martin; de Haan, Laurens 159 2009 Mean-field stochastic differential equations and associated PDEs. Zbl 1402.60070 Buckdahn, Rainer; Li, Juan; Peng, Shige; Rainer, Catherine 158 2017 Stochastic inequalities on partially ordered spaces. Zbl 0371.60013 Kamae, T.; Krengel, U.; O’Brien, G. L. 157 1977 Tightness of probabilities on C([0,1];\(S_ p\)) and D([0,1];\(S_ p\)). Zbl 0527.60004 Mitoma, Itaru 157 1983 Strong solutions to the stochastic quantization equations. Zbl 1071.81070 Da Prato, Giuseppe; Debussche, Arnaud 154 2003 Oriented percolation in two dimensions. Zbl 0567.60095 Durrett, Richard 153 1984 Bootstrapping general empirical measures. Zbl 0706.62017 Giné, Evarist; Zinn, Joel 149 1990 Shock models and wear processes. Zbl 0262.60067 Esary, J. D.; Marshall, A. W.; Proschan, F. 148 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. 148 1998 Forward-backward stochastic differential equations and controlled McKean-Vlasov dynamics. Zbl 1322.93103 Carmona, René; Delarue, François 144 2015 Sample functions of the Gaussian process. Zbl 0261.60033 Dudley, R. M. 144 1973 Random walks and percolation on trees. Zbl 0714.60089 Lyons, Russell 144 1990 A maximal inequality and dependent strong laws. Zbl 0353.60035 McLeish, D. L. 143 1975 Limit theory for moving averages of random variables with regularly varying tail probabilities. Zbl 0562.60026 Davis, Richard; Resnick, Sidney 143 1985 The law of large numbers and the central limit theorem in Banach spaces. Zbl 0368.60022 Hoffmann-Jørgensen, Jørgen; Pisier, G. 142 1976 On skew Brownian motion. Zbl 0462.60076 Harrison, J. M.; Shepp, L. A. 141 1981 A variational representation for certain functionals of Brownian motion. Zbl 0936.60059 Boué, Michelle; Dupuis, Paul 137 1998 A limit theorem for the norm of random matrices. Zbl 0428.60039 Geman, Stuart 136 1980 Transportation cost-information inequalities and applications to random dynamical systems and diffusions. Zbl 1061.60011 Djellout, H.; Guillin, A.; Wu, L. 136 2004 Anticipated backward stochastic differential equations. Zbl 1186.60053 Peng, Shige; Yang, Zhe 136 2009 Finite exchangeable sequences. Zbl 0434.60034 Diaconis, P.; Freedman, D. 134 1980 On mixing and stability of limit theorems. Zbl 0376.60026 Aldous, D. J.; Eagleson, G. K. 134 1978 An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025 Gloria, Antoine; Otto, Felix 133 2011 Stability of nonlinear Hawkes processes. Zbl 0870.60043 Brémaud, Pierre; Massoulié, Laurent 133 1996 Functional Itō calculus and stochastic integral representation of martingales. Zbl 1272.60031 Cont, Rama; Fournié, David-Antoine 133 2013 The intermediate disorder regime for directed polymers in dimension \(1+1\). Zbl 1292.82014 Alberts, Tom; Khanin, Konstantin; Quastel, Jeremy 130 2014 Scaling for a one-dimensional directed polymer with boundary conditions. Zbl 1254.60098 Seppäläinen, Timo 129 2012 Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law. Zbl 1272.05111 Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun 128 2013 Strong stationary times via a new form of duality. Zbl 0723.60083 Diaconis, Persi; Fill, James Allen 128 1990 The Euler scheme for Lévy driven stochastic differential equations. Zbl 0876.60030 Protter, Philip; Talay, Denis 127 1997 Limit theorems for \(U\)-processes. Zbl 0789.60031 Arcones, Miguel A.; Giné, Evarist 126 1993 Finitely additive conditional probabilities, conglomerability and disintegrations. Zbl 0302.60002 Dubins, Lester E. 126 1975 Global \(L_2\)-solutions of stochastic Navier-Stokes equations. Zbl 1098.60062 Mikulevicius, R.; Rozovskii, B. L. 126 2005 Optimum bounds for the distributions of martingales in Banach spaces. Zbl 0836.60015 Pinelis, Iosif 123 1994 Conformal weldings of random surfaces: SLE and the quantum gravity zipper. Zbl 1388.60144 Sheffield, Scott 123 2016 Brownian excursions, critical random graphs and the multiplicative coalescent. Zbl 0877.60010 Aldous, David 122 1997 Stochastic integration in UMD Banach spaces. Zbl 1121.60060 van Neerven, J. M. A. M.; Veraar, M. C.; Weis, L. 122 2007 Fractional Cauchy problems on bounded domains. Zbl 1247.60078 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 121 2009 Central limit theorem for linear eigenvalue statistics of random matrices with independent entries. Zbl 1180.15029 Lytova, A.; Pastur, L. 120 2009 A martingale approach to the law of large numbers for weakly interacting stochastic processes. Zbl 0544.60097 Oelschläger, Karl 118 1984 Invariant measures for the zero range process. Zbl 0492.60096 Andjel, Enrique Daniel 118 1982 The arctic circle boundary and the Airy process. Zbl 1096.60039 Johansson, Kurt 118 2005 Uniform spanning forests. Zbl 1016.60009 Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded 117 2001 Choosing a spanning tree for the integer lattice uniformly. Zbl 0758.60010 Pemantle, Robin 117 1991 Exchangeably weighted bootstraps of the general empirical process. Zbl 0792.62038 Præstgaard, Jens; Wellner, Jon A. 117 1993 Strong invariance principles for dependent random variables. Zbl 1166.60307 Wu, Wei Biao 117 2007 When is the Student \(t\)-statistic asymptotically standard normal? Zbl 0958.60023 Giné, Evarist; Götze, Friedrich; Mason, David M. 116 1997 Towards optimal spectral gaps in large genus. Zbl 1537.58004 Lipnowski, Michael; Wright, Alex 4 2024 Cutoff profile of the metropolis biased card shuffling. Zbl 07815244 Zhang, Lingfu 3 2024 Mutual information for the sparse stochastic block model. Zbl 1532.60213 Dominguez, Tomas; Mourrat, Jean-Christophe 2 2024 The extremal point process of branching Brownian motion in \(\mathbb{R}^d \). Zbl 07856570 Berestycki, Julien; Kim, Yujin H.; Lubetzky, Eyal; Mallein, Bastien; Zeitouni, Ofer 2 2024 Singular kinetic equations and applications. Zbl 1534.60084 Hao, Zimo; Zhang, Xicheng; Zhu, Rongchan; Zhu, Xiangchan 1 2024 Spectral central limit theorem for additive functionals of isotropic and stationary Gaussian fields. Zbl 1534.60036 Maini, Leonardo; Nourdin, Ivan 1 2024 The stationary horizon and semi-infinite geodesics in the directed landscape. Zbl 1532.60205 Busani, Ofer; Seppäläinen, Timo; Sorensen, Evan 1 2024 Long-time derivation at equilibrium of the fluctuating Boltzmann equation. Zbl 07810669 Bodineau, Thierry; Gallagher, Isabelle; Saint-Raymond, Laure; Simonella, Sergio 1 2024 Stochastic homogenization with space-time ergodic divergence-free drift. Zbl 1534.35015 Fehrman, Benjamin 1 2024 Percolation of strongly correlated Gaussian fields. II: Sharpness of the phase transition. Zbl 07856567 Muirhead, Stephen 1 2024 Two-sided heat kernel estimates for Schrödinger operators with unbounded potentials. Zbl 1540.35137 Chen, Xin; Wang, Jian 1 2024 Spectral gap and curvature of monotone Markov chains. Zbl 1540.60177 Salez, Justin 1 2024 Capacity of the range of random walk: the law of the iterated logarithm. Zbl 07926189 Dembo, Amir; Okada, Izumi 1 2024 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 18 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 10 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 8 2023 Universality of cutoff for exclusion with reservoirs. Zbl 1519.60072 Salez, Justin 8 2023 Stability of Schrödinger potentials and convergence of Sinkhorn’s algorithm. Zbl 1518.90069 Nutz, Marcel; Wiesel, Johannes 7 2023 High-dimensional near-critical percolation and the torus plateau. Zbl 1532.60216 Hutchcroft, Tom; Michta, Emmanuel; Slade, Gordon 6 2023 Law of iterated logarithms and fractal properties of the KPZ equation. Zbl 1516.35573 Das, Sayan; Ghosal, Promit 6 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. 5 2023 Stationary measures for the log-gamma polymer and KPZ equation in half-space. Zbl 07793393 Barraquand, Guillaume; Corwin, Ivan 5 2023 TAP approach for multispecies spherical spin glasses II: the free energy of the pure models. Zbl 1517.82042 Subag, Eliran 5 2023 Expansion in supercritical random subgraphs of the hypercube and its consequences. Zbl 1506.05115 Erde, Joshua; Kang, Mihyun; Krivelevich, Michael 4 2023 Universality of approximate message passing with semirandom matrices. Zbl 1533.82001 Dudeja, Rishabh; Lu, Yue M.; Sen, Subhabrata 4 2023 The phase transition for planar Gaussian percolation models without FKG. Zbl 07793392 Muirhead, Stephen; Rivera, Alejandro; Vanneuville, Hugo; Köhler-Schindler, Laurin 4 2023 On the rightmost eigenvalue of non-Hermitian random matrices. Zbl 1536.15036 Cipolloni, Giorgio; Erdős, László; Schröder, Dominik; Xu, Yuanyuan 4 2023 Mixing times for the TASEP in the maximal current phase. Zbl 1535.60154 Schmid, Dominik 4 2023 Monotone subsequences in locally uniform random permutations. Zbl 1527.60013 Sjöstrand, Jonas 4 2023 Exponential mixing for random dynamical systems and an example of Pierrehumbert. Zbl 1519.35258 Blumenthal, Alex; Zelati, Michele Coti; Gvalani, Rishabh S. 4 2023 The critical 2d stochastic heat flow is not a Gaussian multiplicative chaos. Zbl 07795622 Caravenna, Francesco; Sun, Rongfeng; Zygouras, Nikos 3 2023 Scaling limit of the Fleming-Viot multicolor process. Zbl 07795624 Tough, Oliver 3 2023 The delocalized phase of the Anderson Hamiltonian in 1-D. Zbl 1532.60147 Dumaz, Laure; Labbé, Cyril 3 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. 3 2023 Secular coefficients and the holomorphic multiplicative chaos. Zbl 1518.60011 Najnudel, Joseph; Paquette, Elliot; Simm, Nick 3 2023 Improved log-concavity for rotationally invariant measures of symmetric convex sets. Zbl 07690053 Cordero-Erausquin, Dario; Rotem, Liran 3 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 Absence of backward infinite paths for first-passage percolation in arbitrary dimension. Zbl 1522.60074 Brito, Gerandy; Damron, Michael; Hanson, Jack 2 2023 On strong solutions of Itô’s equations with \(D \sigma\) and \(b\) in Morrey classes containing \(L_d\). Zbl 07793390 Krylov, N. V. 2 2023 Most transient random walks have infinitely many cut times. Zbl 1531.05224 Halberstam, Noah; Hutchcroft, Tom 2 2023 Lower tails via relative entropy. Zbl 1518.05172 Kozma, Gady; Samotij, Wojciech 2 2023 Universality of spin correlations in the Ising model on isoradial graphs. Zbl 1517.82012 Chelkak, Dmitry; Izyurov, Konstantin; Mahfouf, Rémy 2 2023 KPZ-type fluctuation exponents for interacting diffusions in equilibrium. Zbl 1517.82047 Landon, Benjamin; Noack, Christian; Sosoe, Philippe 2 2023 Geometric and o-minimal Littlewood-Offord problems. Zbl 07628799 Fox, Jacob; Kwan, Matthew; Spink, Hunter 1 2023 Scaling limit of the heavy tailed ballistic deposition model with \(p\)-sticking. Zbl 07793394 Comets, Francis; Dalmau, Joseba; Saglietti, Santiago 1 2023 On the (non)stationary density of fractional-driven stochastic differential equations. Zbl 07795616 Li, Xue-Mei; Panloup, Fabien; Sieber, Julian 1 2023 Multisource invasion percolation on the complete graph. Zbl 07795618 Addario-Berry, Louigi; Barrett, Jordan 1 2023 Particle density in diffusion-limited annihilating systems. Zbl 1535.60152 Johnson, Tobias; Junge, Matthew; Lyu, Hanbaek; Sivakoff, David 1 2023 Concurrent Donsker-Varadhan and hydrodynamical large deviations. Zbl 1518.60035 Bertini, Lorenzo; Gabrielli, Davide; Landim, Claudio 1 2023 Large deviation expansions for the coefficients of random walks on the general linear group. Zbl 1518.60040 Xiao, Hui; Grama, Ion; Liu, Quansheng 1 2023 Balanced excited random walk in two dimensions. Zbl 1535.60142 Angel, Omer; Holmes, Mark; Ramirez, Alejandro 1 2023 Limit theorems for additive functionals of the fractional Brownian motion. Zbl 07690056 Jaramillo, Arturo; Nourdin, Ivan; Nualart, David; Peccati, Giovanni 1 2023 Rough semimartingales and \(p\)-variation estimates for martingale transforms. Zbl 1532.60230 Friz, Peter K.; Zorin-Kranich, Pavel 1 2023 More limiting distributions for eigenvalues of Wigner matrices. Zbl 1512.60014 Diaconu, Simona 1 2023 Mean field games master equations with nonseparable Hamiltonians and displacement monotonicity. Zbl 1501.35403 Gangbo, Wilfrid; Mészáros, Alpár R.; Mou, Chenchen; Zhang, Jianfeng 32 2022 McKean-Vlasov optimal control: the dynamic programming principle. Zbl 1491.49018 Djete, Mao Fabrice; Possamaï, Dylan; Tan, Xiaolu 26 2022 On the radius of Gaussian free field excursion clusters. Zbl 1512.60023 Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco 17 2022 Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations. Zbl 1513.37037 Bedrossian, Jacob; Blumenthal, Alex; Punshon-Smith, Samuel 16 2022 Three-halves variation of geodesics in the directed landscape. Zbl 1510.60087 Dauvergne, Duncan; Sarkar, Sourav; Virág, Bálint 12 2022 Simple conformal loop ensembles on Liouville quantum gravity. Zbl 1502.60068 Miller, Jason; Sheffield, Scott; Werner, Wendelin 11 2022 The Dirichlet-Ferguson diffusion on the space of probability measures over a closed Riemannian manifold. Zbl 1529.60056 Dello Schiavo, Lorenzo 11 2022 Normal fluctuation in quantum ergodicity for Wigner matrices. Zbl 1502.60004 Cipolloni, Giorgio; Erdős, László; Schröder, Dominik 10 2022 A phase transition for repeated averages. 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Zbl 1526.60016 Le Gall, Jean-François 1 2022 ...and 1793 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 31,274 Authors 146 Nualart, David 142 Röckner, Michael 126 Peres, Yuval 113 Wang, Feng-Yu 103 Osękowski, Adam 102 Horváth, Lajos 101 Chen, Zhen-Qing 92 Zhang, Tusheng S. 89 Song, Renming 88 Xiao, Yimin 83 Götze, Friedrich 82 Zeitouni, Ofer 81 van der Hofstad, Remco W. 80 Hashorva, Enkelejd 79 Durrett, Richard Timothy 78 Peccati, Giovanni 77 Janson, Svante 77 Khoshnevisan, Davar 76 Mikosch, Thomas 76 Shao, Qi-Man 75 Tudor, Ciprian A. 73 Lin, Zhengyan 71 Bai, Zhi-Dong 69 Bouzebda, Salim 69 Csörgő, Miklós 69 Kabluchko, Zakhar A. 69 Peligrad, Magda 69 Russo, Francesco 68 Thäle, Christoph 67 Benjamini, Itai 67 den Hollander, Frank 67 Nourdin, Ivan 67 Taqqu, Murad S. 67 Wang, Jian 66 Berkes, István 66 Tindel, Samy 66 Zhang, Xicheng 65 Erdős, László 65 Yan, Litan 64 Kyprianou, Andreas E. 64 Samorodnitsky, Gennady Pinkhosovich 64 Yor, Marc 63 Bobkov, Sergey Germanovich 63 Diaconis, Persi Warren 63 Flandoli, Franco 63 Landim, Claudio 63 Zhang, Li-Xin 62 Albeverio, Sergio A. 62 Borodin, Alexei 61 Brzeźniak, Zdzisław 61 Hairer, Martin 61 Pitman, Jim William 60 Kim, Panki 60 Mason, David Michael 60 Ouknine, Youssef 60 Ren, Yanxia 60 Rosalsky, Andrew 59 Budhiraja, Amarjit S. 59 Iksanov, Aleksander M. 59 Mountford, Thomas S. 58 Sidoravicius, Vladas 58 Xiong, Jie 57 Bertoin, Jean 57 Burdzy, Krzysztof 57 Ding, Jian 57 Hall, Peter Gavin 57 Hu, Yaozhong 56 Duan, Jinqiao 56 Merlevède, Florence 56 Seppäläinen, Timo 53 Corwin, Ivan Z. 53 Leonenko, Nikolai N. 53 Li, Deli 53 Shi, Zhan 53 Wang, Dehui 53 Weiß, Christian H. 52 Dembo, Amir 52 Friz, Peter 52 Pardoux, Etienne 51 Devroye, Luc P. J. A. 51 Duminil-Copin, Hugo 51 Ferrari, Pablo Augusto 50 Dedecker, Jérôme 50 Gonçalves, Patrícia C. 49 Guillin, Arnaud 49 Hu, Ying 49 Hutchcroft, Tom 49 Resnick, Sidney Ira 49 Sly, Allan 49 Wang, Xuejun 48 Curien, Nicolas 48 Jara, Milton D. 48 Le Gall, Jean-François 48 Lubetzky, Eyal 48 Maller, Ross Arthur 48 Meerschaert, Mark Marvin 48 Surgailis, Donatas 47 Aldous, David John 47 Csáki, Endre 47 Liu, Quansheng ...and 31,174 more Authors all top 5 Cited in 1,113 Journals 2,999 Stochastic Processes and their Applications 1,845 Statistics & Probability Letters 1,794 The Annals of Probability 1,611 Probability Theory and Related Fields 1,327 The Annals of Applied Probability 1,194 Journal of Statistical Physics 1,127 Journal of Theoretical Probability 888 Electronic Journal of Probability 856 Annales de l’Institut Henri Poincaré. 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