Edit Profile (opens in new tab) Biskup, Marek Co-Author Distance Author ID: biskup.marek Published as: Biskup, Marek; Biskup, M. Homepage: https://www.math.ucla.edu/~biskup/ External Links: MGP · GND Documents Indexed: 67 Publications since 1998, including 8 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 41 Co-Authors with 53 Joint Publications 1,095 Co-Co-Authors all top 5 Co-Authors 8 single-authored 15 Chayes, Lincoln 12 Kotecký, Roman 9 Louidor, Oren 6 König, Wolfgang Dieter 4 Alexander, Kenneth S. 4 Borgs, Christian 4 Chayes, Jennifer Tour 3 Sidoravicius, Vladas 3 van der Hofstad, Remco W. 2 Berger, Noam 2 Crawford, Nicholas 2 Fukushima, Ryoki 2 Gufler, Stephan 2 Kivelson, Steven A. 2 Kleinwaks, Logan J. 2 Kumagai, Takashi 2 Nussinov, Zohar 2 Procaccia, Eviatar Ben 1 Abe, Yoshihiro 1 Adams, Stefan 1 Andres, Sebastian 1 Blanchard, Philippe 1 Boukhadra, Omar 1 Bovier, Anton 1 Brink, Jeroen van den 1 Brydges, David C. 1 Černý, Jiří 1 Chen, Xin 1 Coja-Oghlan, Amin 1 den Hollander, Frank 1 Ding, Jian 1 dos Santos, Renato S. 1 Faggionato, Alessandra 1 Gandolfo, Daniel 1 Goswami, Subhajit 1 Hoffman, C. E. 1 Huang, Haiyu 1 Ioffe, Dmitry 1 Kenneth, Alexander 1 Kozma, Gady 1 Krieger, Andrew 1 Krüger, Tyll 1 Lawler, Gregory Francis 1 Lee, Sangchul 1 Lin, Jeffrey 1 Pan, Minghao 1 Prescott, Timothy M. 1 Procaccia, Evitar B. 1 Richthammer, Thomas 1 Rodriguez, Pierre-François 1 Rosenthal, Ron 1 Rozinov, A. 1 Salvi, Michele 1 Schonmann, Roberto Henrique 1 Seiringer, Robert 1 Slowik, Martin 1 Smith, S. Alex 1 Spohn, Herbert 1 Starr, Shannon L. 1 Vandenberg-Rodes, Alexander 1 Wang, Jian 1 Wolff, Tilman all top 5 Serials 12 Communications in Mathematical Physics 11 Journal of Statistical Physics 6 Probability Theory and Related Fields 5 Oberwolfach Reports 4 The Annals of Probability 4 The Annals of Applied Probability 4 Electronic Journal of Probability 3 Random Structures & Algorithms 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Advances in Mathematics 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Transactions of the American Mathematical Society 1 SIAM Journal on Mathematical Analysis 1 Interdisciplinary Information Sciences (IIS) 1 Annales Henri Poincaré 1 Lecture Notes in Mathematics 1 Probability Surveys all top 5 Fields 54 Statistical mechanics, structure of matter (82-XX) 52 Probability theory and stochastic processes (60-XX) 7 Combinatorics (05-XX) 6 General and overarching topics; collections (00-XX) 6 Partial differential equations (35-XX) 3 Operator theory (47-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 2 Measure and integration (28-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 56 Publications have been cited 929 times in 583 Documents Cited by ▼ Year ▼ Recent progress on the random conductance model. Zbl 1245.60098 Biskup, Marek 105 2011 Quenched invariance principle for simple random walk on percolation clusters. Zbl 1107.60066 Berger, Noam; Biskup, Marek 103 2007 Extreme local extrema of two-dimensional discrete Gaussian free field. Zbl 1347.82007 Biskup, Marek; Louidor, Oren 61 2016 Functional CLT for random walk among bounded random conductances. Zbl 1127.60093 Biskup, Marek; Prescott, Timothy M. 52 2007 Anomalous heat-kernel decay for random walk among bounded random conductances. Zbl 1187.60034 Berger, N.; Biskup, M.; Hoffman, C. E.; Kozma, G. 46 2008 On the scaling of the chemical distance in long-range percolation models. Zbl 1072.60084 Biskup, Marek 45 2004 Full extremal process, cluster law and freezing for the two-dimensional discrete Gaussian free field. Zbl 1409.60053 Biskup, Marek; Louidor, Oren 44 2018 Reflection positivity and phase transitions in lattice spin models. Zbl 1180.82041 Biskup, Marek 38 2009 Phase coexistence of gradient Gibbs states. Zbl 1120.82003 Biskup, Marek; Kotecký, Roman 35 2007 Extrema of the two-dimensional discrete Gaussian free field. Zbl 1443.60036 Biskup, Marek 35 2020 Long-time tails in the parabolic Anderson model with bounded potential. Zbl 1018.60093 Biskup, Marek; König, Wolfgang 32 2001 Mean-field driven first-order phase transitions in systems with long-range interactions. Zbl 1142.82329 Biskup, Marek; Chayes, Lincoln; Crawford, Nicholas 27 2006 Scaling limit for a class of gradient fields with nonconvex potentials. Zbl 1222.60076 Biskup, Marek; Spohn, Herbert 26 2011 Rigorous analysis of discontinuous phase transitions via mean-field bounds. Zbl 1051.82008 Biskup, Marek; Chayes, Lincoln 23 2003 Limit theory for random walks in degenerate time-dependent random environments. Zbl 1405.60150 Biskup, Marek; Rodriguez, Pierre-François 19 2018 Partition function zeros at first-order phase transitions: a general analysis. Zbl 1088.82010 Biskup, M.; Borgs, C.; Chayes, J. T.; Kleinwaks, L. J.; Kotecký, R. 18 2004 Subdiffusive heat-kernel decay in four-dimensional i.i.d. random conductance models. Zbl 1260.60186 Biskup, M.; Boukhadra, O. 16 2012 Gibbs states of graphical representations of the Potts model with external fields. Zbl 0977.82012 Biskup, M.; Borgs, C.; Chayes, J. T.; Kotecký, R. 16 2000 A central limit theorem for the effective conductance: linear boundary data and small ellipticity contrasts. Zbl 1296.82007 Biskup, M.; Salvi, M.; Wolff, T. 16 2014 Conformal symmetries in the extremal process of two-dimensional discrete Gaussian free field. Zbl 1475.83027 Biskup, Marek; Louidor, Oren 16 2020 Partition function zeros at first-order phase transitions: Pirogov-Sinai theory. Zbl 1142.82328 Biskup, M.; Borgs, C.; Chayes, J. T.; Kotecký, R. 15 2004 Graph diameter in long-range percolation. Zbl 1228.05134 Biskup, Marek 15 2011 On intermediate level sets of two-dimensional discrete Gaussian free field. Zbl 1456.60082 Biskup, Marek; Louidor, Oren 15 2019 Isoperimetry in two-dimensional percolation. Zbl 1331.82025 Biskup, Marek; Louidor, Oren; Procaccia, Eviatar B.; Rosenthal, Ron 13 2015 Eigenvalue order statistics for random Schrödinger operators with doubly-exponential tails. Zbl 1332.60097 Biskup, M.; König, W. 13 2016 Critical region for droplet formation in the two-dimensional Ising model. Zbl 1041.82004 Biskup, Marek; Chayes, Lincoln; Kotecký, Roman 13 2003 Orbital ordering in transition-metal compounds. I: The 120-degree model. Zbl 1074.82009 Biskup, M.; Chayes, L.; Nussinov, Z. 12 2005 A heteropolymer near a linear interface. Zbl 0971.60098 Biskup, Marek; den Hollander, Frank 12 1999 Mass concentration and aging in the parabolic Anderson model with doubly-exponential tails. Zbl 1405.60105 Biskup, Marek; König, Wolfgang; dos Santos, Renato S. 12 2018 Quantum spin systems at positive temperature. Zbl 1125.82011 Biskup, Marek; Chayes, Lincoln; Starr, Shannon 11 2007 Sharp asymptotic for the chemical distance in long-range percolation. Zbl 1428.05164 Biskup, Marek; Lin, Jeffrey 11 2019 Quenched invariance principle for a class of random conductance models with long-range jumps. Zbl 1472.60059 Biskup, Marek; Chen, Xin; Kumagai, Takashi; Wang, Jian 11 2021 Large-deviations/thermodynamic approach to percolation on the complete graph. Zbl 1129.05045 Biskup, Marek; Chayes, Lincoln; Smith, S. A. 10 2007 Screening effect due to heavy lower tails in one-dimensional parabolic Anderson model. Zbl 1174.82333 Biskup, Marek; König, Wolfgang 10 2001 Order by disorder, without order, in a two-dimensional spin system with \(O(2)\) symmetry. Zbl 1162.82307 Biskup, Marek; Chayes, Lincoln; Kivelson, Steven A. 9 2004 Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field. Zbl 1471.60154 Biskup, Marek; Ding, Jian; Goswami, Subhajit 9 2020 Metastable behavior for bootstrap percolation on regular trees. Zbl 1177.82048 Biskup, Marek; Schonmann, Roberto H. 8 2009 Gibbs measures on permutations over one-dimensional discrete point sets. Zbl 1314.60042 Biskup, Marek; Richthammer, Thomas 8 2015 Eigenvalue versus perimeter in a shape theorem for self-interacting random walks. Zbl 1393.82007 Biskup, Marek; Procaccia, Eviatar B. 6 2018 Exceptional points of two-dimensional random walks at multiples of the cover time. Zbl 1514.60053 Abe, Yoshihiro; Biskup, Marek 6 2022 Eigenvalue fluctuations for lattice Anderson Hamiltonians. Zbl 1345.60058 Biskup, Marek; Fukushima, Ryoki; König, Wolfgang 6 2016 On the absence of ferromagnetism in typical 2D ferromagnets. Zbl 1206.82014 Biskup, Marek; Chayes, Lincoln; Kivelson, Steven A. 5 2007 Forbidden gap argument for phase transitions proved by means of chessboard estimates. Zbl 1107.82018 Biskup, Marek; Kotecký, Roman 4 2006 An invariance principle for one-dimensional random walks among dynamical random conductances. Zbl 1466.60216 Biskup, Marek 4 2019 Coexistence of partially disordered/ordered phases in an extended Potts model. Zbl 0968.82009 Biskup, M.; Chayes, L.; Kotecký, R. 3 2000 Trapping in the random conductance model. Zbl 1259.82042 Biskup, M.; Louidor, O.; Rozinov, A.; Vandenberg-Rodes, A. 3 2013 Eigenvalue fluctuations for lattice Anderson Hamiltonians: unbounded potentials. Zbl 1482.35147 Biskup, Marek; Fukushima, Ryoki; König, Wolfgang 2 2018 A proof of the Gibbs-Thomson formula in the droplet formation regime. Zbl 1142.82330 Biskup, Marek; Chayes, Lincoln; Kotecký, Roman 1 2004 Colligative properties of solutions. I: Fixed concentrations. Zbl 1073.82010 Alexander, Kenneth S.; Biskup, Marek; Chayes, Lincoln 1 2005 Colligative properties of solutions. II: Vanishing concentrations. Zbl 1073.82011 Alexander, Kenneth S.; Biskup, Marek; Chayes, Lincoln 1 2005 Phase transition and critical behavior in a model of organized criticality. Zbl 1034.60083 Biskup, M.; Blanchard, Ph.; Chayes, L.; Gandolfo, D.; Krüger, T. 1 2004 Arithmetic oscillations of the chemical distance in long-range percolation on \(\mathbb{Z}^d\). Zbl 07900403 Biskup, Marek; Krieger, Andrew 1 2024 Reflection positivity of the random-cluster measure invalidated for noninteger \(q\). Zbl 0963.82019 Biskup, Marek 1 1998 An invariance principle for one-dimensional random walks in degenerate dynamical random environments. Zbl 07790270 Biskup, Marek; Pan, Minghao 1 2023 Exceptional points of discrete-time random walks in planar domains. Zbl 1537.60052 Abe, Yoshihiro; Biskup, Marek; Lee, Sangchul 1 2023 Shapes of drums with lowest base frequency under non-isotropic perimeter constraints. Zbl 1418.49042 Biskup, Marek; Procaccia, Evitar B. 1 2019 Arithmetic oscillations of the chemical distance in long-range percolation on \(\mathbb{Z}^d\). Zbl 07900403 Biskup, Marek; Krieger, Andrew 1 2024 An invariance principle for one-dimensional random walks in degenerate dynamical random environments. Zbl 07790270 Biskup, Marek; Pan, Minghao 1 2023 Exceptional points of discrete-time random walks in planar domains. Zbl 1537.60052 Abe, Yoshihiro; Biskup, Marek; Lee, Sangchul 1 2023 Exceptional points of two-dimensional random walks at multiples of the cover time. Zbl 1514.60053 Abe, Yoshihiro; Biskup, Marek 6 2022 Quenched invariance principle for a class of random conductance models with long-range jumps. Zbl 1472.60059 Biskup, Marek; Chen, Xin; Kumagai, Takashi; Wang, Jian 11 2021 Extrema of the two-dimensional discrete Gaussian free field. Zbl 1443.60036 Biskup, Marek 35 2020 Conformal symmetries in the extremal process of two-dimensional discrete Gaussian free field. Zbl 1475.83027 Biskup, Marek; Louidor, Oren 16 2020 Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field. Zbl 1471.60154 Biskup, Marek; Ding, Jian; Goswami, Subhajit 9 2020 On intermediate level sets of two-dimensional discrete Gaussian free field. Zbl 1456.60082 Biskup, Marek; Louidor, Oren 15 2019 Sharp asymptotic for the chemical distance in long-range percolation. Zbl 1428.05164 Biskup, Marek; Lin, Jeffrey 11 2019 An invariance principle for one-dimensional random walks among dynamical random conductances. Zbl 1466.60216 Biskup, Marek 4 2019 Shapes of drums with lowest base frequency under non-isotropic perimeter constraints. Zbl 1418.49042 Biskup, Marek; Procaccia, Evitar B. 1 2019 Full extremal process, cluster law and freezing for the two-dimensional discrete Gaussian free field. Zbl 1409.60053 Biskup, Marek; Louidor, Oren 44 2018 Limit theory for random walks in degenerate time-dependent random environments. Zbl 1405.60150 Biskup, Marek; Rodriguez, Pierre-François 19 2018 Mass concentration and aging in the parabolic Anderson model with doubly-exponential tails. Zbl 1405.60105 Biskup, Marek; König, Wolfgang; dos Santos, Renato S. 12 2018 Eigenvalue versus perimeter in a shape theorem for self-interacting random walks. Zbl 1393.82007 Biskup, Marek; Procaccia, Eviatar B. 6 2018 Eigenvalue fluctuations for lattice Anderson Hamiltonians: unbounded potentials. Zbl 1482.35147 Biskup, Marek; Fukushima, Ryoki; König, Wolfgang 2 2018 Extreme local extrema of two-dimensional discrete Gaussian free field. Zbl 1347.82007 Biskup, Marek; Louidor, Oren 61 2016 Eigenvalue order statistics for random Schrödinger operators with doubly-exponential tails. Zbl 1332.60097 Biskup, M.; König, W. 13 2016 Eigenvalue fluctuations for lattice Anderson Hamiltonians. Zbl 1345.60058 Biskup, Marek; Fukushima, Ryoki; König, Wolfgang 6 2016 Isoperimetry in two-dimensional percolation. Zbl 1331.82025 Biskup, Marek; Louidor, Oren; Procaccia, Eviatar B.; Rosenthal, Ron 13 2015 Gibbs measures on permutations over one-dimensional discrete point sets. Zbl 1314.60042 Biskup, Marek; Richthammer, Thomas 8 2015 A central limit theorem for the effective conductance: linear boundary data and small ellipticity contrasts. Zbl 1296.82007 Biskup, M.; Salvi, M.; Wolff, T. 16 2014 Trapping in the random conductance model. Zbl 1259.82042 Biskup, M.; Louidor, O.; Rozinov, A.; Vandenberg-Rodes, A. 3 2013 Subdiffusive heat-kernel decay in four-dimensional i.i.d. random conductance models. Zbl 1260.60186 Biskup, M.; Boukhadra, O. 16 2012 Recent progress on the random conductance model. Zbl 1245.60098 Biskup, Marek 105 2011 Scaling limit for a class of gradient fields with nonconvex potentials. Zbl 1222.60076 Biskup, Marek; Spohn, Herbert 26 2011 Graph diameter in long-range percolation. Zbl 1228.05134 Biskup, Marek 15 2011 Reflection positivity and phase transitions in lattice spin models. Zbl 1180.82041 Biskup, Marek 38 2009 Metastable behavior for bootstrap percolation on regular trees. Zbl 1177.82048 Biskup, Marek; Schonmann, Roberto H. 8 2009 Anomalous heat-kernel decay for random walk among bounded random conductances. Zbl 1187.60034 Berger, N.; Biskup, M.; Hoffman, C. E.; Kozma, G. 46 2008 Quenched invariance principle for simple random walk on percolation clusters. Zbl 1107.60066 Berger, Noam; Biskup, Marek 103 2007 Functional CLT for random walk among bounded random conductances. Zbl 1127.60093 Biskup, Marek; Prescott, Timothy M. 52 2007 Phase coexistence of gradient Gibbs states. Zbl 1120.82003 Biskup, Marek; Kotecký, Roman 35 2007 Quantum spin systems at positive temperature. Zbl 1125.82011 Biskup, Marek; Chayes, Lincoln; Starr, Shannon 11 2007 Large-deviations/thermodynamic approach to percolation on the complete graph. Zbl 1129.05045 Biskup, Marek; Chayes, Lincoln; Smith, S. A. 10 2007 On the absence of ferromagnetism in typical 2D ferromagnets. Zbl 1206.82014 Biskup, Marek; Chayes, Lincoln; Kivelson, Steven A. 5 2007 Mean-field driven first-order phase transitions in systems with long-range interactions. Zbl 1142.82329 Biskup, Marek; Chayes, Lincoln; Crawford, Nicholas 27 2006 Forbidden gap argument for phase transitions proved by means of chessboard estimates. Zbl 1107.82018 Biskup, Marek; Kotecký, Roman 4 2006 Orbital ordering in transition-metal compounds. I: The 120-degree model. Zbl 1074.82009 Biskup, M.; Chayes, L.; Nussinov, Z. 12 2005 Colligative properties of solutions. I: Fixed concentrations. Zbl 1073.82010 Alexander, Kenneth S.; Biskup, Marek; Chayes, Lincoln 1 2005 Colligative properties of solutions. II: Vanishing concentrations. Zbl 1073.82011 Alexander, Kenneth S.; Biskup, Marek; Chayes, Lincoln 1 2005 On the scaling of the chemical distance in long-range percolation models. Zbl 1072.60084 Biskup, Marek 45 2004 Partition function zeros at first-order phase transitions: a general analysis. Zbl 1088.82010 Biskup, M.; Borgs, C.; Chayes, J. T.; Kleinwaks, L. J.; Kotecký, R. 18 2004 Partition function zeros at first-order phase transitions: Pirogov-Sinai theory. Zbl 1142.82328 Biskup, M.; Borgs, C.; Chayes, J. T.; Kotecký, R. 15 2004 Order by disorder, without order, in a two-dimensional spin system with \(O(2)\) symmetry. Zbl 1162.82307 Biskup, Marek; Chayes, Lincoln; Kivelson, Steven A. 9 2004 A proof of the Gibbs-Thomson formula in the droplet formation regime. Zbl 1142.82330 Biskup, Marek; Chayes, Lincoln; Kotecký, Roman 1 2004 Phase transition and critical behavior in a model of organized criticality. Zbl 1034.60083 Biskup, M.; Blanchard, Ph.; Chayes, L.; Gandolfo, D.; Krüger, T. 1 2004 Rigorous analysis of discontinuous phase transitions via mean-field bounds. Zbl 1051.82008 Biskup, Marek; Chayes, Lincoln 23 2003 Critical region for droplet formation in the two-dimensional Ising model. Zbl 1041.82004 Biskup, Marek; Chayes, Lincoln; Kotecký, Roman 13 2003 Long-time tails in the parabolic Anderson model with bounded potential. Zbl 1018.60093 Biskup, Marek; König, Wolfgang 32 2001 Screening effect due to heavy lower tails in one-dimensional parabolic Anderson model. Zbl 1174.82333 Biskup, Marek; König, Wolfgang 10 2001 Gibbs states of graphical representations of the Potts model with external fields. Zbl 0977.82012 Biskup, M.; Borgs, C.; Chayes, J. T.; Kotecký, R. 16 2000 Coexistence of partially disordered/ordered phases in an extended Potts model. Zbl 0968.82009 Biskup, M.; Chayes, L.; Kotecký, R. 3 2000 A heteropolymer near a linear interface. Zbl 0971.60098 Biskup, Marek; den Hollander, Frank 12 1999 Reflection positivity of the random-cluster measure invalidated for noninteger \(q\). Zbl 0963.82019 Biskup, Marek 1 1998 all cited Publications top 5 cited Publications all top 5 Cited by 655 Authors 32 Biskup, Marek 17 Deuschel, Jean-Dominique 14 Andres, Sebastian 14 Duminil-Copin, Hugo 13 Louidor, Oren 12 Kumagai, Takashi 11 König, Wolfgang Dieter 10 Berger, Noam 10 Zeitouni, Ofer 9 Chayes, Lincoln 9 Dario, Paul 9 Külske, Christof 9 Mourrat, Jean-Christophe 9 Rozikov, Utkir A. 9 Slowik, Martin 8 Gloria, Antoine 8 Procaccia, Eviatar Ben 7 Crawford, Nicholas 7 den Hollander, Frank 7 Ding, Jian 7 Faggionato, Alessandra 7 Otto, Felix 6 Barlow, Martin T. 6 Hartung, Lisa Bärbel 6 Kotecký, Roman 6 Neukamm, Stefan 6 Rosenthal, Ron 6 Tassion, Vincent 6 van der Hofstad, Remco W. 5 Caputo, Pietro 5 Cotar, Codina 5 Croydon, David A. 5 Fribergh, Alexander 5 Fukushima, Ryoki 5 Hazra, Rajat Subhra 5 Jego, Antoine 5 Komjáthy, Júlia 5 Kozma, Gady 5 Lees, Benjamin 5 Mallein, Bastien 5 Newman, Charles Michael 5 Nussinov, Zohar 5 Rhodes, Rémi 5 Rodriguez, Pierre-François 5 Sidoravicius, Vladas 5 Vargas, Vincent 4 Abe, Yoshihiro 4 Alexander, Kenneth S. 4 Armendáriz, Inés 4 Bauerschmidt, Roland 4 Bella, Peter 4 Bollobás, Béla 4 Camia, Federico 4 Chen, Xia 4 Chen, Xin 4 Chiarini, Alberto 4 de Lima, Bernardo N. B. 4 Ferrari, Pablo Augusto 4 Garban, Christophe 4 Giacomin, Giambattista 4 Gu, Yu 4 Häggström, Olle 4 Jaffe, Arthur Michael 4 Jiang, Jianping 4 Mathieu, Pierre 4 Misumi, Jun 4 Mörters, Peter 4 Muirhead, Stephen 4 Mukhamedov, Farruh Maksutovich 4 Mukherjee, Chiranjib 4 Müller, Peter 4 Peled, Ron 4 Salvi, Michele 4 Schäffner, Mathias 4 Taggi, Lorenzo 4 Toninelli, Fabio Lucio 4 Wang, Jian 4 Warzel, Simone 4 Yadin, Ariel 3 Aizenman, Michael 3 Arguin, Louis-Pierre 3 Armstrong, Scott N. 3 Belius, David 3 Berestycki, Nathanaël 3 Bolthausen, Erwin 3 Boukhadra, Omar 3 Chen, Xinxin 3 Cipriani, Alessandra 3 Cortines, Aser 3 Derrien, Jean-Marc 3 Duerinckx, Mitia 3 Flegel, Franziska 3 Gantert, Nina 3 Gärtner, Jürgen 3 Giuliani, Alessandro 3 Gold, Julian 3 Groisman, Pablo 3 Guo, Xiaoqin 3 Heida, Martin 3 Heydenreich, Markus ...and 555 more Authors all top 5 Cited in 101 Serials 63 Journal of Statistical Physics 61 Communications in Mathematical Physics 49 Probability Theory and Related Fields 48 The Annals of Probability 32 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 29 Stochastic Processes and their Applications 29 Electronic Journal of Probability 27 The Annals of Applied Probability 15 Journal of Mathematical Physics 14 Communications on Pure and Applied Mathematics 12 ALEA. Latin American Journal of Probability and Mathematical Statistics 11 Electronic Communications in Probability 7 Oberwolfach Reports 6 Journal of Functional Analysis 6 Random Structures & Algorithms 5 Inventiones Mathematicae 5 Journal of Theoretical Probability 5 SIAM Journal on Mathematical Analysis 5 Journal of Statistical Mechanics: Theory and Experiment 5 Stochastic and Partial Differential Equations. Analysis and Computations 4 International Journal of Modern Physics B 4 Archive for Rational Mechanics and Analysis 4 Theoretical and Mathematical Physics 3 Physica A 3 Reports on Mathematical Physics 3 Duke Mathematical Journal 3 Journal of Applied Probability 3 Statistics & Probability Letters 3 Calculus of Variations and Partial Differential Equations 3 Mathematical Physics, Analysis and Geometry 3 Journal of Physics A: Mathematical and Theoretical 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Israel Journal of Mathematics 2 Physics Letters. A 2 Reviews in Mathematical Physics 2 Journal of the Mathematical Society of Japan 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the American Mathematical Society 2 The Journal of Geometric Analysis 2 Annals of Physics 2 Communications in Partial Differential Equations 2 Combinatorics, Probability and Computing 2 Annals of Mathematics. Second Series 2 Interdisciplinary Information Sciences (IIS) 2 Journal of High Energy Physics 2 Annales Henri Poincaré 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 Probability Surveys 1 Discrete Applied Mathematics 1 Information Processing Letters 1 Letters in Mathematical Physics 1 Nonlinearity 1 Nuclear Physics. B 1 Physics Letters. B 1 Problems of Information Transmission 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Bulletin de la Société Mathématique de France 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Differential Geometry 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Theoretical Computer Science 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Computational Statistics and Data Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 Acta Mathematica Sinica. English Series 1 Milan Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 International Journal of Stochastic Analysis 1 Journal of Theoretical Biology 1 ISRN Discrete Mathematics 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Communications in Mathematics and Statistics 1 ISRN Probability and Statistics 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 Séminaire Laurent Schwartz. EDP et Applications 1 Discrete Analysis 1 Annales Henri Lebesgue 1 SIAM Journal on Mathematics of Data Science ...and 1 more Serials all top 5 Cited in 44 Fields 425 Probability theory and stochastic processes (60-XX) 341 Statistical mechanics, structure of matter (82-XX) 79 Partial differential equations (35-XX) 74 Combinatorics (05-XX) 37 Quantum theory (81-XX) 18 Operator theory (47-XX) 11 Measure and integration (28-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Difference and functional equations (39-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Numerical analysis (65-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Functions of a complex variable (30-XX) 9 Potential theory (31-XX) 9 Biology and other natural sciences (92-XX) 8 General and overarching topics; collections (00-XX) 7 Functional analysis (46-XX) 6 Convex and discrete geometry (52-XX) 6 Computer science (68-XX) 5 Number theory (11-XX) 5 Mechanics of deformable solids (74-XX) 5 Operations research, mathematical programming (90-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistics (62-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Ordinary differential equations (34-XX) 3 Differential geometry (53-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Geometry (51-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year