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: Indexed cover-to-cover Documents Indexed: 4,541 Publications (since 1973) References Indexed: 2,002 Publications with 53,016 References. all top 5 Latest Issues 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) 35, No. 6 (2007) 35, No. 5 (2007) 35, No. 4 (2007) 35, No. 3 (2007) 35, No. 2 (2007) 35, No. 1 (2007) 34, No. 6 (2006) ...and 94 more Volumes all top 5 Authors 37 Talagrand, Michel 35 Peres, Yuval 35 Rosen, Jay S. 33 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 Zeitouni, Ofer 20 Bass, Richard F. 20 Götze, Friedrich 20 Khoshnevisan, Davar 20 Lai, Tze Leung 20 Le Gall, Jean-François 20 Perkins, Edwin A. 19 Dalang, Robert C. 18 Kurtz, Thomas Gordon 18 Lyons, Russell 18 Müller, Carl E. 18 Pinsky, Ross George 17 Bolthausen, Erwin 17 Chen, Xia 17 Deheuvels, Paul 17 Dembo, Amir 17 Landim, Claudio 16 Benjamini, Itai 16 den Hollander, Frank 16 Deuschel, Jean-Dominique 16 Mytnik, Leonid 16 Röckner, Michael 15 Alexander, Kenneth S. 15 Janson, Svante 15 Lalley, Steven P. 15 Miller, Jason P. 15 Pruitt, William E. 15 Schonmann, Roberto Henrique 15 Seppäläinen, Timo 15 Sheffield, Scott 15 Shi, Zhan 14 Bertoin, Jean 14 Csörgő, Miklós 14 Kallenberg, Olav 14 Mountford, Thomas S. 14 Schramm, Oded 14 Shao, Qi-Man 14 Tindel, Samy 13 Ben Arous, Gérard 13 Berman, Simeon M. 13 Bobkov, Sergey Germanovich 13 Chen, Louis Hsiao-Yun 13 Dawson, Donald Andrew 13 Dupuis, Paul G. 13 Hairer, Martin 13 Lawler, Gregory Francis 13 Nourdin, Ivan 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 Peccati, Giovanni 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 Dynkin, Evgeniĭ Borisovich 11 Einmahl, Uwe 11 Ferrari, Pablo Augusto 11 Hahn, Marjorie Green 11 Hammond, Alan 11 Kieffer, John Cronan 11 Steele, J. Michael ...and 2,958 more Authors all top 5 Fields 4,414 Probability theory and stochastic processes (60-XX) 542 Statistical mechanics, structure of matter (82-XX) 473 Statistics (62-XX) 233 Partial differential equations (35-XX) 211 Measure and integration (28-XX) 187 Combinatorics (05-XX) 102 Dynamical systems and ergodic theory (37-XX) 98 Linear and multilinear algebra; matrix theory (15-XX) 86 Operator theory (47-XX) 85 Functional analysis (46-XX) 83 Potential theory (31-XX) 80 Global analysis, analysis on manifolds (58-XX) 60 Systems theory; control (93-XX) 59 Biology and other natural sciences (92-XX) 57 Real functions (26-XX) 55 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 54 Information and communication theory, circuits (94-XX) 45 Convex and discrete geometry (52-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 36 Operations research, mathematical programming (90-XX) 32 Ordinary differential equations (34-XX) 30 Numerical analysis (65-XX) 30 Computer science (68-XX) 29 Functions of a complex variable (30-XX) 29 Special functions (33-XX) 28 Number theory (11-XX) 24 Differential geometry (53-XX) 21 Group theory and generalizations (20-XX) 20 Fluid mechanics (76-XX) 18 Abstract harmonic analysis (43-XX) 16 Quantum theory (81-XX) 15 History and biography (01-XX) 13 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) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Manifolds and cell complexes (57-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 4,206 Publications have been cited 79,591 times in 42,075 Documents Cited by ▼ Year ▼ I-divergence geometry of probability distributions and minimization problems. Zbl 0318.60013Csiszar, I. 332 1975 Discrete analogues of self-decomposability and stability. Zbl 0418.60020Steutel, F. W.; van Harn, K. 326 1979 Distribution function inequalities for martingales. Zbl 0301.60035Burkholder, D. L. 323 1973 Backward stochastic differential equations and partial differential equations with quadratic growth. Zbl 1044.60045Kobylanski, Magdalena 311 2000 Reflected solutions of backward SDE’s, and related obstacle problems for PDE’s. Zbl 0899.60047El Karoui, N.; Kapoudjian, C.; Pardoux, E.; Peng, S.; Quenez, M. C. 304 1997 Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Zbl 1086.15022Baik, Jinho; Ben Arous, Gérard; Péché, Sandrine 245 2005 Weak limit theorems for stochastic integrals and stochastic differential equations. Zbl 0742.60053Kurtz, Thomas G.; Protter, Philip 237 1991 Stochastic calculus with respect to Gaussian processes. Zbl 1015.60047Alòs, Elisa; Mazet, Olivier; Nualart, David 237 2001 The continuum random tree. III. Zbl 0791.60009Aldous, David 236 1993 The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Zbl 0880.60076Pitman, Jim; Yor, Marc 233 1997 Random walks on discrete groups: Boundary and entropy. Zbl 0641.60009Kaimanovich, V. A.; Vershik, A. M. 219 1983 Subadditive ergodic theory. Zbl 0311.60018Kingman, J. F. C. 215 1973 Residual life time at great age. Zbl 0295.60014Balkema, A. A.; de Haan, Laurens 210 1974 Occupation densities. Zbl 0499.60081Geman, Donald; Horowitz, Joseph 205 1980 Central limit theorems for sequences of multiple stochastic integrals. Zbl 1097.60007Nualart, David; Peccati, Giovanni 203 2005 Poisson approximation for dependent trials. Zbl 0335.60016Chen, Louis H. Y. 190 1975 The continuum random tree. I. Zbl 0722.60013Aldous, David 189 1991 Conformal invariance of planar loop-erased random walks and uniform spanning trees. Zbl 1126.82011Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin 187 2004 Random walks in a random environment. Zbl 0305.60029Solomon, Fred 185 1975 Large deviations of sums of independent random variables. Zbl 0418.60033Nagaev, S. V. 182 1979 Dependent central limit theorems and invariance principles. Zbl 0287.60025McLeish, D. L. 180 1974 Contact interactions on a lattice. Zbl 0334.60052Harris, T. E. 175 1974 Ergodic theorems for weakly interacting infinite systems and the voter model. Zbl 0367.60115Holley, Richard A.; Liggett, Thomas M. 170 1975 Stopping times and tightness. Zbl 0391.60007Aldous, David 170 1978 Two moments suffice for Poisson approximations: The Chen-Stein method. Zbl 0675.60017Arratia, R.; Goldstein, L.; Gordon, L. 169 1989 Inequalities for distributions with given marginals. Zbl 0459.62010Tchen, Andre H. 165 1980 Boundary value problems and sharp inequalities for martingale transforms. Zbl 0556.60021Burkholder, D. L. 164 1984 CLT for linear spectral statistics of large-dimensional sample covariance matrices. Zbl 1063.60022Bai, Z. D.; Silverstein, Jack W. 164 2004 Sharper bounds for Gaussian and empirical processes. Zbl 0798.60051Talagrand, M. 163 1994 Coalescents with multiple collisions. Zbl 0963.60079Pitman, Jim 162 1999 Strict stationarity of generalized autoregressive processes. Zbl 0763.60015Bougerol, Philippe; Picard, Nico 161 1992 Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes. Zbl 0840.60077Lyons, Russell; Pemantle, Robin; Peres, Yuval 161 1995 Central limit theorems for empirical measures. Zbl 0404.60016Dudley, R. M. 160 1978 Approximation theorems for independent and weakly dependent random vectors. Zbl 0392.60024Berkes, Istvan; Philipp, Walter 157 1979 The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality. Zbl 0713.62021Massart, P. 156 1990 Some concepts of negative dependence. Zbl 0501.62037Block, Henry W.; Savits, Thomas H.; Shaked, Moshe 154 1982 A spectral representation for max-stable processes. Zbl 0597.60050de Haan, Laurens 154 1984 Stochastic inequalities on partially ordered spaces. Zbl 0371.60013Kamae, T.; Krengel, U.; O’Brien, G. L. 152 1977 Domination by product measures. Zbl 0882.60046Liggett, T. M.; Schonmann, R. H.; Stacey, A. M. 149 1997 On tail probabilities for martingales. Zbl 0313.60037Freedman, David A. 147 1975 Some limit theorems for empirical processes (with discussion). Zbl 0553.60037Giné, Evarist; Zinn, Joel 144 1984 Reflected Brownian motion on an orthant. Zbl 0462.60073Harrison, J. Michael; Reiman, Martin I. 144 1981 On the gap between deterministic and stochastic ordinary differential equations. Zbl 0391.60056Sussmann, Hector J. 143 1978 Exponential and uniform ergodicity of Markov processes. Zbl 0852.60075Down, D.; Meyn, S. P.; Tweedie, R. L. 142 1995 Asymptotic error distributions for the Euler method for stochastic differential equations. Zbl 0937.60060Jacod, Jean; Protter, Philip 142 1998 Backward stochastic differential equations with reflection and Dynkin games. Zbl 0876.60031Cvitanić, Jakša; Karatzas, Ioannis 141 1996 Oriented percolation in two dimensions. Zbl 0567.60095Durrett, Richard 139 1984 Uniqueness and universality of the Brownian map. Zbl 1282.60014Le Gall, Jean-François 139 2013 Tightness of probabilities on C([0,1];\(S_ p\)) and D([0,1];\(S_ p\)). Zbl 0527.60004Mitoma, Itaru 137 1983 Sample functions of the Gaussian process. Zbl 0261.60033Dudley, R. M. 137 1973 Invariant manifolds for stochastic partial differential equations. Zbl 1052.60048Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn 135 2003 The law of large numbers and the central limit theorem in Banach spaces. Zbl 0368.60022Hoffmann-Jørgensen, Jørgen; Pisier, G. 133 1976 Shock models and wear processes. Zbl 0262.60067Esary, J. D.; Marshall, A. W.; Proschan, F. 132 1973 Limit of the smallest eigenvalue of a large dimensional sample covariance matrix. Zbl 0779.60026Bai, Z. D.; Yin, Y. Q. 131 1993 Limit theory for moving averages of random variables with regularly varying tail probabilities. Zbl 0562.60026Davis, Richard; Resnick, Sidney 131 1985 Random matrices: universality of ESDs and the circular law. Zbl 1203.15025Tao, Terence; Vu, Van; Krishnapur, Manjunath 130 2010 No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices. Zbl 0937.60017Bai, Z. D.; Silverstein, Jack W. 128 1998 A maximal inequality and dependent strong laws. Zbl 0353.60035McLeish, D. L. 128 1975 Stationary max-stable fields associated to negative definite functions. Zbl 1208.60051Kabluchko, Zakhar; Schlather, Martin; de Haan, Laurens 127 2009 Bootstrapping general empirical measures. Zbl 0706.62017Giné, Evarist; Zinn, Joel 125 1990 Random walks and percolation on trees. Zbl 0714.60089Lyons, Russell 123 1990 On the Poisson equation and diffusion approximation. I. Zbl 1029.60053Pardoux, E.; Veretennikov, A. Yu. 121 2001 Mean-field backward stochastic differential equations: A limit approach. Zbl 1176.60042Buckdahn, Rainer; Djehiche, Boualem; Li, Juan; Peng, Shige 121 2009 Large deviations for infinite dimensional stochastic dynamical systems. Zbl 1155.60024Budhiraja, Amarjit; Dupuis, Paul; Maroulas, Vasileios 119 2008 Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 118 2015 On skew Brownian motion. Zbl 0462.60076Harrison, J. M.; Shepp, L. A. 116 1981 On mixing and stability of limit theorems. Zbl 0376.60026Aldous, D. J.; Eagleson, G. K. 115 1978 A limit theorem for the norm of random matrices. Zbl 0428.60039Geman, Stuart 115 1980 Finitely additive conditional probabilities, conglomerability and disintegrations. Zbl 0302.60002Dubins, Lester E. 113 1975 Transportation cost-information inequalities and applications to random dynamical systems and diffusions. Zbl 1061.60011Djellout, H.; Guillin, A.; Wu, L. 111 2004 A variational representation for certain functionals of Brownian motion. Zbl 0936.60059Boué, Michelle; Dupuis, Paul 109 1998 Strong stationary times via a new form of duality. Zbl 0723.60083Diaconis, Persi; Fill, James Allen 109 1990 The Euler scheme for Lévy driven stochastic differential equations. Zbl 0876.60030Protter, Philip; Talay, Denis 107 1997 Anticipated backward stochastic differential equations. Zbl 1186.60053Peng, Shige; Yang, Zhe 107 2009 When is the Student \(t\)-statistic asymptotically standard normal? Zbl 0958.60023Giné, Evarist; Götze, Friedrich; Mason, David M. 106 1997 The concept of normality for fuzzy random variables. Zbl 0583.60011Puri, Madan L.; Ralescu, Dan A. 105 1985 Central limit theorems for additive functionals of Markov chains. Zbl 1044.60014Maxwell, Michael; Woodroofe, Michael 103 2000 Limit theorems for \(U\)-processes. Zbl 0789.60031Arcones, Miguel A.; Giné, Evarist 103 1993 Fractional Cauchy problems on bounded domains. Zbl 1247.60078Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 103 2009 Invariant measures for the zero range process. Zbl 0492.60096Andjel, Enrique Daniel 103 1982 Weighted empirical and quantile processes. Zbl 0589.60029Csörgö, Miklós; Csörgö, Sándor; Horváth, Lajos; Mason, David M. 103 1986 A strong law of large numbers for random compact sets. Zbl 0313.60012Artstein, Zvi; Vitale, Richard A. 103 1975 Strong solutions to the stochastic quantization equations. Zbl 1071.81070Da Prato, Giuseppe; Debussche, Arnaud 103 2003 An invariance principle for certain dependent sequences. Zbl 0465.60009Newman, C. M.; Wright, A. L. 102 1981 Additive set-valued Markov processes and graphical methods. Zbl 0378.60106Harris, T. E. 102 1978 The oscillation behavior of empirical processes. Zbl 0489.60038Stute, Winfried 101 1982 Large deviations for a general class of random vectors. Zbl 0534.60026Ellis, Richard S. 101 1984 Finite exchangeable sequences. Zbl 0434.60034Diaconis, P.; Freedman, D. 101 1980 Functional Itō calculus and stochastic integral representation of martingales. Zbl 1272.60031Cont, Rama; Fournié, David-Antoine 101 2013 Characterization of the law of the iterated logarithm in Banach spaces. Zbl 0662.60008Ledoux, M.; Talagrand, M. 100 1988 Stochastic integration in UMD Banach spaces. Zbl 1121.60060van Neerven, J. M. A. M.; Veraar, M. C.; Weis, L. 100 2007 An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025Gloria, Antoine; Otto, Felix 99 2011 A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional. Zbl 0474.60036Burkholder, D. L. 99 1981 Global \(L_2\)-solutions of stochastic Navier-Stokes equations. Zbl 1098.60062Mikulevicius, R.; Rozovskii, B. L. 99 2005 Conformal weldings of random surfaces: SLE and the quantum gravity zipper. Zbl 1388.60144Sheffield, Scott 99 2016 Forward-backward stochastic differential equations and controlled McKean-Vlasov dynamics. Zbl 1322.93103Carmona, René; Delarue, François 97 2015 Strong invariance principles for dependent random variables. Zbl 1166.60307Wu, Wei Biao 96 2007 Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Zbl 1175.15028Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 96 2009 The stochastic wave equation in two spatial dimensions. Zbl 0938.60046Dalang, Robert C.; Frangos, N. E. 96 1998 The intermediate disorder regime for directed polymers in dimension \(1+1\). Zbl 1292.82014Alberts, Tom; Khanin, Konstantin; Quastel, Jeremy 96 2014 Hidden invariance of last passage percolation and directed polymers. Zbl 1499.60328Dauvergne, Duncan 4 2022 Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations. Zbl 07496861Bedrossian, Jacob; Blumenthal, Alex; Punshon-Smith, Samuel 4 2022 Universality of cutoff for graphs with an added random matching. Zbl 1486.05278Hermon, Jonathan; Sly, Allan; Sousi, Perla 2 2022 McKean-Vlasov optimal control: the dynamic programming principle. Zbl 1491.49018Djete, Mao Fabrice; Possamaï, Dylan; Tan, Xiaolu 2 2022 Local limits of bipartite maps with prescribed face degrees in high genus. Zbl 1487.05240Budzinski, Thomas; Louf, Baptiste 2 2022 A phase transition for repeated averages. Zbl 1485.60069Chatterjee, Sourav; Diaconis, Persi; Sly, Allan; Zhang, Lingfu 1 2022 Universality of the geodesic tree in last passage percolation. Zbl 1499.60325Busani, Ofer; Ferrari, Patrik L. 1 2022 Large \(N\) limit of the \(O(N)\) linear sigma model via stochastic quantization. Zbl 1490.60192Shen, Hao; Smith, Scott A.; Zhu, Rongchan; Zhu, Xiangchan 1 2022 Cutoff for random lifts of weighted graphs. Zbl 1486.05284Conchon-Kerjan, Guillaume 1 2022 Precise local estimates for differential equations driven by fractional Brownian motion: hypoelliptic case. Zbl 07512873Geng, Xi; Ouyang, Cheng; Tindel, Samy 1 2022 On multiple SLE for the FK-Ising model. Zbl 1486.60106Izyurov, Konstantin 1 2022 An elliptic Harnack inequality for difference equations with random balanced coefficients. Zbl 1494.39011Berger, Noam; Cohen, Moran; Deuschel, Jean-Dominique; Guo, Xiaoqin 1 2022 A forward-backward SDE from the 2D nonlinear stochastic heat equation. Zbl 1487.35463Dunlap, Alexander; Gu, Yu 1 2022 Multipoint distribution of TASEP. Zbl 1490.60279Liu, Zhipeng 1 2022 Scaling and local limits of Baxter permutations and bipolar orientations through coalescent-walk processes. Zbl 07527828Borga, Jacopo; Maazoun, Mickaël 1 2022 Forests, cumulants, martingales. 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Zbl 1457.82165Basu, Riddhipratim; Ganguly, Shirshendu; Hammond, Alan 9 2021 Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding. Zbl 1478.60045Miller, Jason; Sheffield, Scott 8 2021 Local laws and rigidity for Coulomb gases at any temperature. Zbl 1457.82004Armstrong, Scott; Serfaty, Sylvia 7 2021 The overlap gap property and approximate message passing algorithms for \(p\)-spin models. Zbl 1470.60277Gamarnik, David; Jagannath, Aukosh 7 2021 Survival and extinction of epidemics on random graphs with general degree. Zbl 1478.60254Bhamidi, Shankar; Nam, Danny; Nguyen, Oanh; Sly, Allan 7 2021 On stochastic equations with drift in \({L_d}\). Zbl 1489.60102Krylov, N. V. 7 2021 Bulk properties of the Airy line ensemble. Zbl 1484.60107Dauvergne, Duncan; Virág, Bálint 7 2021 Freeness over the diagonal for large random matrices. Zbl 1480.15040Au, Benson; Cébron, Guillaume; Dahlqvist, Antoine; Gabriel, Franck; Male, Camille 5 2021 On the uniqueness of global multiple SLEs. Zbl 1478.60225Beffara, Vincent; Peltola, Eveliina; Wu, Hao 5 2021 Diffusions on a space of interval partitions: Poisson-Dirichlet stationary distributions. Zbl 1486.60100Forman, Noah; Pal, Soumik; Rizzolo, Douglas; Winkel, Matthias 5 2021 Random walk on random planar maps: spectral dimension, resistance and displacement. Zbl 1483.60069Gwynne, Ewain; Miller, Jason 5 2021 On the derivative martingale in a branching random walk. Zbl 07367505Buraczewski, Dariusz; Iksanov, Alexander; Mallein, Bastien 5 2021 Diffusion approximation for fully coupled stochastic differential equations. Zbl 1487.60117Röckner, Michael; Xie, Longjie 5 2021 Extremal eigenvalues of critical Erdős-Rényi graphs. Zbl 1467.05236Alt, Johannes; Ducatez, Raphaël; Knowles, Antti 5 2021 Eigenvector statistics of Lévy matrices. Zbl 1467.60003Aggarwal, Amol; Lopatto, Patrick; Marcinek, Jake 5 2021 Symmetries of stochastic colored vertex models. Zbl 1479.82046Galashin, Pavel 4 2021 The Derrida-Retaux conjecture on recursive models. Zbl 1484.60096Chen, Xinxing; Dagard, Victor; Derrida, Bernard; Hu, Yueyun; Lifshits, Mikhail; Shi, Zhan 4 2021 The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity. Zbl 1484.60007Gwynne, Ewain; Miller, Jason; Sheffield, Scott 4 2021 Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions. Zbl 1468.35041Chouk, Khalil; van Zuijlen, Willem 4 2021 Modified log-Sobolev inequalities for strongly log-concave distributions. Zbl 1478.60200Cryan, Mary; Guo, Heng; Mousa, Giorgos 3 2021 Optimization of mean-field spin glasses. Zbl 07467487El Alaoui, Ahmed; Montanari, Andrea; Sellke, Mark 3 2021 On strong solutions of Itô’s equations with \(\sigma\in W_{\mathtt{d}}^1\) and \(\mathtt{b}\in{L_{\mathtt{d}}}\). Zbl 1497.60076Krylov, N. V. 3 2021 Universality for critical KCM: finite number of stable directions. Zbl 1490.60272Hartarsky, Ivailo; Martinelli, Fabio; Toninelli, Cristina 3 2021 Moment estimates for some renormalized parabolic Anderson models. Zbl 1478.60098Chen, Xia; Deya, Aurélien; Ouyang, Cheng; Tindel, Samy 3 2021 Quantitative homogenization of the parabolic and elliptic Green’s functions on percolation clusters. Zbl 1467.35033Dario, Paul; Gu, Chenlin 3 2021 KPZ equation correlations in time. Zbl 1467.60045Corwin, Ivan; Ghosal, Promit; Hammond, Alan 3 2021 Global well posedness of the two-dimensional stochastic nonlinear wave equation on an unbounded domain. Zbl 1467.35221Tolomeo, Leonardo 3 2021 Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition. Zbl 1473.60150Sarkar, Sourav; Virág, Bálint 3 2021 2D anisotropic KPZ at stationarity: scaling, tightness and nontriviality. Zbl 1457.60112Cannizzaro, Giuseppe; Erhard, Dirk; Schönbauer, Philipp 2 2021 Conformal growth rates and spectral geometry on distributional limits of graphs. Zbl 1482.05319Lee, James R. 2 2021 Scaling limits of the three-dimensional uniform spanning tree and associated random walk. Zbl 1486.60019Angel, O.; Croydon, D. A.; Hernandez-Torres, S.; Shiraishi, D. 2 2021 A solution to the Monge transport problem for Brownian martingales. Zbl 1475.49056Ghoussoub, Nassif; Kim, Young-Heon; Palmer, Aaron Zeff 2 2021 A generalisation of the honeycomb dimer model to higher dimensions. Zbl 1486.60122Lammers, Piet 2 2021 Persistence of Gaussian stationary processes: a spectral perspective. Zbl 1487.60077Feldheim, Naomi; Feldheim, Ohad; Nitzan, Shahaf 2 2021 Additive functionals as rough paths. Zbl 1487.60143Deuschel, Jean-Dominique; Orenshtein, Tal; Perkowski, Nicolas 2 2021 Anti-concentration for subgraph counts in random graphs. Zbl 1467.05242Fox, Jacob; Kwan, Matthew; Sauermann, Lisa 2 2021 The annealed spectral sample of Voronoi percolation. Zbl 1498.60393Vanneuville, Hugo 2 2021 On words of non-Hermitian random matrices. Zbl 1467.60007Dubach, Guillaume; Peled, Yuval 2 2021 Emergence of extended states at zero in the spectrum of sparse random graphs. Zbl 1467.05240Coste, Simon; Salez, Justin 2 2021 Local and global geometry of the 2D Ising interface in critical prewetting. Zbl 1484.60109Ganguly, Shirshendu; Gheissari, Reza 2 2021 TAP free energy, spin glasses and variational inference. Zbl 1467.60025Fan, Zhou; Mei, Song; Montanari, Andrea 1 2021 The 2D-directed spanning forest converges to the Brownian web. Zbl 1476.60021Coupier, David; Saha, Kumarjit; Sarkar, Anish; Tran, Viet Chi 1 2021 Limits of sparse configuration models and beyond: graphexes and multigraphexes. Zbl 1481.05138Borgs, Christian; Chayes, Jennifer T.; Dhara, Souvik; Sen, Subhabrata 1 2021 On the real Davies’ conjecture. 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Zbl 1467.05237Bhattacharya, Bhaswar B.; Bhattacharya, Sohom; Ganguly, Shirshendu 1 2021 Domino tilings of the aztec diamond with doubly periodic weightings. Zbl 1491.60066Berggren, Tomas 1 2021 Age evolution in the mean field forest fire model via multitype branching processes. Zbl 1491.60173Crane, Edward; Ráth, Balázs; Yeo, Dominic 1 2021 From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216Barbu, Viorel; Röckner, Michael 34 2020 On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with nonglobally monotone coefficients. Zbl 07206753Hutzenthaler, Martin; Jentzen, Arnulf 28 2020 The two-dimensional KPZ equation in the entire subcritical regime. Zbl 1444.60061Caravenna, Francesco; Sun, Rongfeng; Zygouras, Nikos 18 2020 Averaging dynamics driven by fractional Brownian motion. Zbl 1453.60087Hairer, Martin; Li, Xue-Mei 16 2020 The endpoint distribution of directed polymers. 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Zbl 1473.60071Backhoff-Veraguas, Julio; Beiglböck, Mathias; Huesmann, Martin; Källblad, Sigrid 8 2020 ...and 1766 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 26,101 Authors 140 Nualart, David 124 Röckner, Michael 121 Peres, Yuval 100 Horváth, Lajos 97 Chen, Zhen-Qing 93 Osękowski, Adam 83 Xiao, Yimin 78 Durrett, Richard Timothy 78 Zhang, Tusheng S. 76 Wang, Feng-Yu 74 Götze, Friedrich 74 van der Hofstad, Remco W. 74 Zeitouni, Ofer 73 Lin, Zhengyan 73 Song, Renming 72 Hashorva, Enkelejd 71 Mikosch, Thomas 70 Peccati, Giovanni 68 Shao, Qi-Man 67 Csörgő, Miklós 67 Khoshnevisan, Davar 64 Russo, Francesco 64 Tudor, Ciprian A. 63 Bai, Zhi-Dong 63 Berkes, István 63 Nourdin, Ivan 63 Taqqu, Murad S. 62 Samorodnitsky, Gennady Pinkhosovich 61 Janson, Svante 61 Yor, Marc 60 Peligrad, Magda 60 Pitman, Jim William 60 Tindel, Samy 59 Benjamini, Itai 59 Diaconis, Persi Warren 59 Mason, David M. 59 Yan, Litan 59 Zhang, Li-Xin 58 Kyprianou, Andreas E. 57 Albeverio, Sergio A. 57 Hall, Peter Gavin 57 Rosalsky, Andrew 57 Wang, Jian 56 Borodin, Alexei 56 den Hollander, Frank 56 Kabluchko, Zakhar A. 55 Bobkov, Sergey Germanovich 55 Landim, Claudio 55 Ouknine, Youssef 54 Bertoin, Jean 54 Brzeźniak, Zdzisław 54 Budhiraja, Amarjit S. 54 Burdzy, Krzysztof 54 Flandoli, Franco 54 Kim, Panki 54 Mountford, Thomas S. 54 Zhang, Xicheng 52 Thäle, Christoph 51 Li, Deli 51 Sidoravicius, Vladas 50 Ferrari, Pablo Augusto 50 Iksanov, Aleksander M. 50 Pardoux, Etienne 49 Erdős, László 49 Shi, Zhan 48 Devroye, Luc P. J. A. 48 Leonenko, Nikolai N. 48 Merlevède, Florence 48 Resnick, Sidney Ira 48 Seppäläinen, Timo 47 Friz, Peter Karl 47 Hairer, Martin 47 Le Gall, Jean-François 47 Meerschaert, Mark Marvin 47 Xiong, Jie 46 Bouzebda, Salim 46 Deheuvels, Paul 46 Dembo, Amir 45 Aldous, David John 45 Csáki, Endre 45 Hu, Yaozhong 45 Maller, Ross Arthur 45 Ren, Yanxia 44 Corwin, Ivan Z. 44 Duan, Jinqiao 44 Guillin, Arnaud 44 Miller, Jason P. 44 Yang, Weiguo 43 Dedecker, Jérôme 43 Surgailis, Donatas 43 Wang, Yuebao 43 Weiß, Christian H. 42 Curien, Nicolas 42 Dalang, Robert C. 42 Ding, Jian 42 Duminil-Copin, Hugo 42 Falk, Michael 42 Révész, Pál 42 Sheffield, Scott 41 Bollobás, Béla ...and 26,001 more Authors all top 5 Cited in 1,008 Journals 2,734 Stochastic Processes and their Applications 1,762 Statistics & Probability Letters 1,689 The Annals of Probability 1,483 Probability Theory and Related Fields 1,099 Journal of Statistical Physics 1,098 The Annals of Applied Probability 974 Journal of Theoretical Probability 750 Journal of Multivariate Analysis 712 Annales de l’Institut Henri Poincaré. 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Neuvième Série ...and 908 more Journals all top 5 Cited in 63 Fields 30,168 Probability theory and stochastic processes (60-XX) 9,195 Statistics (62-XX) 4,092 Statistical mechanics, structure of matter (82-XX) 3,389 Partial differential equations (35-XX) 2,969 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2,274 Combinatorics (05-XX) 1,822 Numerical analysis (65-XX) 1,701 Dynamical systems and ergodic theory (37-XX) 1,319 Systems theory; control (93-XX) 1,314 Operations research, mathematical programming (90-XX) 1,277 Biology and other natural sciences (92-XX) 1,211 Functional analysis (46-XX) 1,154 Linear and multilinear algebra; matrix theory (15-XX) 1,150 Computer science (68-XX) 1,055 Measure and integration (28-XX) 1,019 Operator theory (47-XX) 913 Calculus of variations and optimal control; optimization (49-XX) 696 Ordinary differential equations (34-XX) 628 Quantum theory (81-XX) 596 Global analysis, analysis on manifolds (58-XX) 565 Harmonic analysis on Euclidean spaces (42-XX) 519 Real functions (26-XX) 514 Convex and discrete geometry (52-XX) 493 Potential theory (31-XX) 485 Information and communication theory, circuits (94-XX) 442 Fluid mechanics (76-XX) 402 Differential geometry (53-XX) 377 Number theory (11-XX) 341 Group theory and generalizations (20-XX) 324 Functions of a complex variable (30-XX) 314 Special functions (33-XX) 215 Approximations and expansions (41-XX) 198 Abstract harmonic analysis (43-XX) 186 Integral equations (45-XX) 183 Mathematical logic and foundations (03-XX) 180 Topological groups, Lie groups (22-XX) 164 Integral transforms, operational calculus (44-XX) 159 Difference and functional equations (39-XX) 109 General topology (54-XX) 93 Mechanics of particles and systems (70-XX) 93 Geophysics (86-XX) 83 History and biography (01-XX) 78 Order, lattices, ordered algebraic structures (06-XX) 70 Mechanics of deformable solids (74-XX) 67 Relativity and gravitational theory (83-XX) 62 Classical thermodynamics, heat transfer (80-XX) 60 Manifolds and cell complexes (57-XX) 55 Algebraic geometry (14-XX) 53 Geometry (51-XX) 52 Sequences, series, summability (40-XX) 50 General and overarching topics; collections (00-XX) 48 Associative rings and algebras (16-XX) 44 Several complex variables and analytic spaces (32-XX) 43 Nonassociative rings and algebras (17-XX) 41 Algebraic topology (55-XX) 32 Optics, electromagnetic theory (78-XX) 17 Astronomy and astrophysics (85-XX) 15 Commutative algebra (13-XX) 13 Category theory; homological algebra (18-XX) 9 Field theory and polynomials (12-XX) 7 Mathematics education (97-XX) 2 General algebraic systems (08-XX) 2 \(K\)-theory (19-XX) Citations by Year