Ioffe, Dmitry

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 Author ID: ioffe.dmitry Published as: Ioffe, Dmitry; Ioffe, D.; Ioffe, Dimitry; Ioffe, Dimitri; Ioffe, Dmitri; Ioffe, Dima Homepage: https://web.iem.technion.ac.il/en/people/userprofile/ieioffe.html External Links: MGP · Google Scholar
 Documents Indexed: 64 Publications since 1991, including 1 Book 3 Contributions as Editor Co-Authors: 34 Co-Authors with 53 Joint Publications 877 Co-Co-Authors
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Co-Authors

 13 single-authored 25 Velenik, Yvan 7 Shlosman, Senya B. 5 Campanino, Massimo 4 Bovier, Anton 4 Wachtel, Vitali I. 3 Bodineau, Thierry 3 Caputo, Pietro 3 Levit, Anna 3 Ott, Sébastien 3 Toninelli, Fabio Lucio 2 Bianchi, Alessandra 2 Crawford, Nicholas 2 Duminil-Copin, Hugo 2 Kozma, Gady 2 Pinsky, Ross George 1 Aoun, Yacine 1 Bhattacharya, Kaushik 1 Biskup, Marek 1 Bolthausen, Erwin 1 Brydges, David C. 1 Černý, Jiří 1 Chayes, Lincoln 1 Coja-Oghlan, Amin 1 Coquille, Loren 1 Deuschel, Jean-Dominique 1 Friedli, Sacha 1 Giacomin, Giambattista 1 Greenberg, Lev 1 Hryniv, Ostap 1 Kotecký, Roman 1 Lawler, Gregory Francis 1 Louidor, Oren 1 Luckhaus, Stephan 1 Müller, Patrick E. 1 Otto, Felix 1 Schonmann, Roberto Henrique 1 Zahradník, Miloš
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Serials

 10 Journal of Statistical Physics 9 The Annals of Probability 8 Communications in Mathematical Physics 6 Probability Theory and Related Fields 5 Markov Processes and Related Fields 3 Electronic Journal of Probability 3 Oberwolfach Reports 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Actes des Rencontres du C.I.R.M. 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Annales Henri Poincaré 1 Brazilian Journal of Probability and Statistics 1 Lecture Notes in Mathematics
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Fields

 58 Statistical mechanics, structure of matter (82-XX) 53 Probability theory and stochastic processes (60-XX) 6 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX)

Citations contained in zbMATH Open

51 Publications have been cited 537 times in 323 Documents Cited by Year
Large deviations and concentration properties for $$\nabla_\varphi$$ interface models. Zbl 0988.82018
Deuschel, Jean-Dominique; Giacomin, Giambattista; Ioffe, Dmitry
2000
Fluctuation theory of connectivities for subcritical random cluster models. Zbl 1160.60026
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan
2008
On the extremality of the disordered state for the Ising model on the Bethe lattice. Zbl 0848.60090
Ioffe, Dmitry
1996
Dobrushin-Kotecký-Shlosman theorem up to the critical temperature. Zbl 0929.60076
Ioffe, Dmitry; Schonmann, Roberto H.
1998
Exact large deviation bounds up to $$T_ c$$ for the Ising model in two dimensions. Zbl 0830.60018
Ioffe, Dmitry
1995
Ornstein-Zernike theory for finite range Ising models above $$T_c$$. Zbl 1032.60093
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan
2003
Large deviations for the 2D Ising model: A lower bound without cluster expansions. Zbl 0946.82502
Ioffe, Dmitry
1994
Sharp asymptotics for metastability in the random field Curie-Weiss model. Zbl 1186.82069
Bianchi, Alessandra; Bovier, Anton; Ioffe, Dmitry
2009
Rigorous probabilistic analysis of equilibrium crystal shapes. Zbl 0977.82013
Bodineau, T.; Ioffe, D.; Velenik, Y.
2000
2D models of statistical physics with continuous symmetry: The case of singular interactions. Zbl 0990.82004
Ioffe, D.; Shlosman, S.; Velenik, Y.
2002
On an invariance principle for phase separation lines. Zbl 1115.60039
Greenberg, Lev; Ioffe, Dmitry
2005
Ornstein-Zernike theory for the Bernoulli bond percolation on $$\mathbb Z^d$$. Zbl 1013.60077
Campanino, Massimo; Ioffe, Dmitry
2002
Ballistic phase of self-interacting random walks. Zbl 1255.60168
Ioffe, Dmitry; Velenik, Yvan
2008
Stochastic geometry of classical and quantum Ising models. Zbl 1180.82027
Ioffe, Dmitry
2009
Harmonic crystal on the wall: A microscopic approach. Zbl 0893.60062
Bolthausen, Erwin; Ioffe, Dmitry
1997
Random current representation for transverse field Ising model. Zbl 1192.82042
Crawford, Nicholas; Ioffe, Dmitry
2010
An invariance principle to Ferrari-Spohn diffusions. Zbl 1323.60055
Ioffe, Dmitry; Shlosman, Senya; Velenik, Yvan
2015
Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder. Zbl 1014.60094
Caputo, Pietro; Ioffe, Dmitry
2003
On the Gibbs states of the noncritical Potts model on $$\mathbb Z ^2$$. Zbl 1288.82008
Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan
2014
Crossing random walks and stretched polymers at weak disorder. Zbl 1251.60074
Ioffe, Dmitry; Velenik, Yvan
2012
Low-temperature interfaces: prewetting, layering, faceting and Ferrari-Spohn diffusions. Zbl 1414.60079
Ioffe, D.; Velenik, Y.
2018
Finite connections for supercritical Bernoulli bond percolation in 2D. Zbl 1198.82031
Campanino, M.; Ioffe, D.; Louidor, O.
2010
The phase diagram of the quantum Curie-Weiss model. Zbl 1152.82004
Chayes, Lincoln; Crawford, Nicholas; Ioffe, Dmitry; Levit, Anna
2008
On some applicable versions of abstract large deviations theorems. Zbl 0754.60027
Ioffe, Dimitry
1991
Dyson Ferrari-Spohn diffusions and ordered walks under area tilts. Zbl 1405.60146
Ioffe, Dmitry; Velenik, Yvan; Wachtel, Vitali
2018
A note on the decay of correlations under $$\delta$$-pinning. Zbl 0951.60094
Ioffe, Dmitry; Velenik, Yvan
2000
Ornstein-Zernike behaviour and analyticity of shapes for self-avoiding walks on $$\mathbb{Z}^d$$. Zbl 0924.60086
Ioffe, D.
1998
The statistical mechanics of stretched polymers. Zbl 1195.82107
Ioffe, Dmitry; Velenik, Yvan
2010
Multidimensional random polymers: a renewal approach. Zbl 1338.60215
Ioffe, Dmitry
2015
Interaction versus entropic repulsion for low temperature Ising polymers. Zbl 1321.82014
Ioffe, Dmitry; Shlosman, Senya; Toninelli, Fabio Lucio
2015
Entropy-driven phase transition in a polydisperse hard-rods lattice system. Zbl 1149.82316
Ioffe, D.; Velenik, Y.; Zahradník, M.
2006
Pointwise estimates and exponential laws in metastable systems via coupling methods. Zbl 1237.82039
Bianchi, Alessandra; Bovier, Anton; Ioffe, Dmitry
2012
Extremality of the disordered state for the Ising model on general trees. Zbl 0865.60095
Ioffe, Dmitry
1996
Self-attractive random walks: the case of critical drifts. Zbl 1278.60085
Ioffe, Dmitry; Velenik, Yvan
2012
Ground states for mean field models with a transverse component. Zbl 1276.82017
Ioffe, Dmitry; Levit, Anna
2013
Winterbottom construction for finite range ferromagnetic models: an $$\mathbb L_ 1$$-approach. Zbl 1156.82327
Bodineau, T.; Ioffe, D.; Velenik, Y.
2001
Stretched polymers in random environment. Zbl 1251.82070
Ioffe, Dmitry; Velenik, Yvan
2012
Ising model fog drip: the first two droplets. Zbl 1173.82311
Ioffe, Dmitry; Shlosman, Senya
2008
Confinement of Brownian polymers under geometric area tilts. Zbl 1466.60068
Caputo, Pietro; Ioffe, Dmitry; Wachtel, Vitali
2019
Positive harmonic functions vanishing on the boundary for the Laplacian in unbounded horn-shaped domains. Zbl 0807.31001
Ioffe, Dimitry; Pinsky, Ross
1994
Stability of interfaces and stochastic dynamics in the regime of partial wetting. Zbl 1106.82022
Bodineau, Thierry; Ioffe, Dmitry
2004
Subcritical percolation with a line of defects. Zbl 1401.60177
Friedli, S.; Ioffe, D.; Velenik, Y.
2013
Long range order and giant components of quantum random graphs. Zbl 1138.82016
Ioffe, D.; Levit, A.
2007
Tightness and line ensembles for Brownian polymers under geometric area tilts. Zbl 1446.82093
Caputo, Pietro; Ioffe, Dmitry; Wachtel, Vitali
2019
Formation of facets for an effective model of crystal growth. Zbl 1446.82080
Ioffe, Dmitry; Shlosman, Senya
2019
Self-avoiding polygons: sharp asymptotics of canonical partition functions under the fixed area constraint. Zbl 1071.60019
Hryniv, O.; Ioffe, D.
2004
Random path representation and sharp correlations asymptotics at high-temperatures. Zbl 1074.82015
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan
2004
Invariance principle for a Potts interface along a wall. Zbl 1450.60060
Ioffe, Dmitry; Ott, Sébastien; Velenik, Yvan; Wachtel, Vitali
2020
The hydrodynamic limit for local mean-field dynamics with unbounded spins. Zbl 1401.35291
Bovier, Anton; Ioffe, Dmitry; Müller, Patrick
2018
Large deviations for reaction-diffusion equations with rapidly oscillating random noise. Zbl 0789.60021
Ioffe, D.
1992
Two examples in the theory of large deviations. Zbl 0796.60028
Ioffe, Dmitry
1993
Invariance principle for a Potts interface along a wall. Zbl 1450.60060
Ioffe, Dmitry; Ott, Sébastien; Velenik, Yvan; Wachtel, Vitali
2020
Confinement of Brownian polymers under geometric area tilts. Zbl 1466.60068
Caputo, Pietro; Ioffe, Dmitry; Wachtel, Vitali
2019
Tightness and line ensembles for Brownian polymers under geometric area tilts. Zbl 1446.82093
Caputo, Pietro; Ioffe, Dmitry; Wachtel, Vitali
2019
Formation of facets for an effective model of crystal growth. Zbl 1446.82080
Ioffe, Dmitry; Shlosman, Senya
2019
Low-temperature interfaces: prewetting, layering, faceting and Ferrari-Spohn diffusions. Zbl 1414.60079
Ioffe, D.; Velenik, Y.
2018
Dyson Ferrari-Spohn diffusions and ordered walks under area tilts. Zbl 1405.60146
Ioffe, Dmitry; Velenik, Yvan; Wachtel, Vitali
2018
The hydrodynamic limit for local mean-field dynamics with unbounded spins. Zbl 1401.35291
Bovier, Anton; Ioffe, Dmitry; Müller, Patrick
2018
An invariance principle to Ferrari-Spohn diffusions. Zbl 1323.60055
Ioffe, Dmitry; Shlosman, Senya; Velenik, Yvan
2015
Multidimensional random polymers: a renewal approach. Zbl 1338.60215
Ioffe, Dmitry
2015
Interaction versus entropic repulsion for low temperature Ising polymers. Zbl 1321.82014
Ioffe, Dmitry; Shlosman, Senya; Toninelli, Fabio Lucio
2015
On the Gibbs states of the noncritical Potts model on $$\mathbb Z ^2$$. Zbl 1288.82008
Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan
2014
Ground states for mean field models with a transverse component. Zbl 1276.82017
Ioffe, Dmitry; Levit, Anna
2013
Subcritical percolation with a line of defects. Zbl 1401.60177
Friedli, S.; Ioffe, D.; Velenik, Y.
2013
Crossing random walks and stretched polymers at weak disorder. Zbl 1251.60074
Ioffe, Dmitry; Velenik, Yvan
2012
Pointwise estimates and exponential laws in metastable systems via coupling methods. Zbl 1237.82039
Bianchi, Alessandra; Bovier, Anton; Ioffe, Dmitry
2012
Self-attractive random walks: the case of critical drifts. Zbl 1278.60085
Ioffe, Dmitry; Velenik, Yvan
2012
Stretched polymers in random environment. Zbl 1251.82070
Ioffe, Dmitry; Velenik, Yvan
2012
Random current representation for transverse field Ising model. Zbl 1192.82042
Crawford, Nicholas; Ioffe, Dmitry
2010
Finite connections for supercritical Bernoulli bond percolation in 2D. Zbl 1198.82031
Campanino, M.; Ioffe, D.; Louidor, O.
2010
The statistical mechanics of stretched polymers. Zbl 1195.82107
Ioffe, Dmitry; Velenik, Yvan
2010
Sharp asymptotics for metastability in the random field Curie-Weiss model. Zbl 1186.82069
Bianchi, Alessandra; Bovier, Anton; Ioffe, Dmitry
2009
Stochastic geometry of classical and quantum Ising models. Zbl 1180.82027
Ioffe, Dmitry
2009
Fluctuation theory of connectivities for subcritical random cluster models. Zbl 1160.60026
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan
2008
Ballistic phase of self-interacting random walks. Zbl 1255.60168
Ioffe, Dmitry; Velenik, Yvan
2008
The phase diagram of the quantum Curie-Weiss model. Zbl 1152.82004
Chayes, Lincoln; Crawford, Nicholas; Ioffe, Dmitry; Levit, Anna
2008
Ising model fog drip: the first two droplets. Zbl 1173.82311
Ioffe, Dmitry; Shlosman, Senya
2008
Long range order and giant components of quantum random graphs. Zbl 1138.82016
Ioffe, D.; Levit, A.
2007
Entropy-driven phase transition in a polydisperse hard-rods lattice system. Zbl 1149.82316
Ioffe, D.; Velenik, Y.; Zahradník, M.
2006
On an invariance principle for phase separation lines. Zbl 1115.60039
Greenberg, Lev; Ioffe, Dmitry
2005
Stability of interfaces and stochastic dynamics in the regime of partial wetting. Zbl 1106.82022
Bodineau, Thierry; Ioffe, Dmitry
2004
Self-avoiding polygons: sharp asymptotics of canonical partition functions under the fixed area constraint. Zbl 1071.60019
Hryniv, O.; Ioffe, D.
2004
Random path representation and sharp correlations asymptotics at high-temperatures. Zbl 1074.82015
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan
2004
Ornstein-Zernike theory for finite range Ising models above $$T_c$$. Zbl 1032.60093
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan
2003
Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder. Zbl 1014.60094
Caputo, Pietro; Ioffe, Dmitry
2003
2D models of statistical physics with continuous symmetry: The case of singular interactions. Zbl 0990.82004
Ioffe, D.; Shlosman, S.; Velenik, Y.
2002
Ornstein-Zernike theory for the Bernoulli bond percolation on $$\mathbb Z^d$$. Zbl 1013.60077
Campanino, Massimo; Ioffe, Dmitry
2002
Winterbottom construction for finite range ferromagnetic models: an $$\mathbb L_ 1$$-approach. Zbl 1156.82327
Bodineau, T.; Ioffe, D.; Velenik, Y.
2001
Large deviations and concentration properties for $$\nabla_\varphi$$ interface models. Zbl 0988.82018
Deuschel, Jean-Dominique; Giacomin, Giambattista; Ioffe, Dmitry
2000
Rigorous probabilistic analysis of equilibrium crystal shapes. Zbl 0977.82013
Bodineau, T.; Ioffe, D.; Velenik, Y.
2000
A note on the decay of correlations under $$\delta$$-pinning. Zbl 0951.60094
Ioffe, Dmitry; Velenik, Yvan
2000
Dobrushin-Kotecký-Shlosman theorem up to the critical temperature. Zbl 0929.60076
Ioffe, Dmitry; Schonmann, Roberto H.
1998
Ornstein-Zernike behaviour and analyticity of shapes for self-avoiding walks on $$\mathbb{Z}^d$$. Zbl 0924.60086
Ioffe, D.
1998
Harmonic crystal on the wall: A microscopic approach. Zbl 0893.60062
Bolthausen, Erwin; Ioffe, Dmitry
1997
On the extremality of the disordered state for the Ising model on the Bethe lattice. Zbl 0848.60090
Ioffe, Dmitry
1996
Extremality of the disordered state for the Ising model on general trees. Zbl 0865.60095
Ioffe, Dmitry
1996
Exact large deviation bounds up to $$T_ c$$ for the Ising model in two dimensions. Zbl 0830.60018
Ioffe, Dmitry
1995
Large deviations for the 2D Ising model: A lower bound without cluster expansions. Zbl 0946.82502
Ioffe, Dmitry
1994
Positive harmonic functions vanishing on the boundary for the Laplacian in unbounded horn-shaped domains. Zbl 0807.31001
Ioffe, Dimitry; Pinsky, Ross
1994
Two examples in the theory of large deviations. Zbl 0796.60028
Ioffe, Dmitry
1993
Large deviations for reaction-diffusion equations with rapidly oscillating random noise. Zbl 0789.60021
Ioffe, D.
1992
On some applicable versions of abstract large deviations theorems. Zbl 0754.60027
Ioffe, Dimitry
1991
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Cited by 372 Authors

 27 Ioffe, Dmitry 21 Velenik, Yvan 13 Shlosman, Senya B. 10 Deuschel, Jean-Dominique 9 Biskup, Marek 9 Duminil-Copin, Hugo 7 Björnberg, Jakob Erik 7 Caputo, Pietro 7 Hammond, Alan 7 Külske, Christof 7 Martinelli, Fabio 6 Bovier, Anton 6 Lacoin, Hubert 6 Mossel, Elchanan 6 Ott, Sébastien 6 Rozikov, Utkir A. 5 Bodineau, Thierry 5 Campanino, Massimo 5 den Hollander, Frank 5 Funaki, Tadahisa 5 Peres, Yuval 5 Roch, Sébastien 5 Schonmann, Roberto Henrique 5 Sly, Allan 5 Toninelli, Fabio Lucio 5 Wouts, Marc 4 Alexander, Kenneth S. 4 Bolthausen, Erwin 4 Coquille, Loren 4 Cotar, Codina 4 Giacomin, Giambattista 4 Janse van Rensburg, Esaias J. 4 Lubetzky, Eyal 4 Merola, Immacolata 4 Mourrat, Jean-Christophe 4 Richthammer, Thomas 4 Sakagawa, Hironobu 4 Squarcini, Alessio 4 Ueltschi, Daniel 4 Wachtel, Vitali I. 3 Cerf, Raphaël 3 Chayes, Lincoln 3 Comets, Francis M. 3 Crawford, Nicholas 3 Gianfelice, Michele 3 Giuliani, Alessandro 3 Gloria, Antoine 3 Grimmett, Geoffrey R. 3 Messikh, Reda Jürg 3 Olla, Stefano 3 Otobe, Tatsushi 3 Peled, Ron 3 Pétrélis, Nicolas 3 Presutti, Errico 3 Schreiber, Tomasz 3 Suhov, Yurii Mikhailovich 3 van de Ven, Christiaan J. F. 3 van Enter, Aernout C. D. 3 Whittington, Stuart G. 2 Barhoumi, Abdessatar 2 Beffara, Vincent 2 Bellettini, Giovanni 2 Berger, Quentin 2 Bianchi, Alessandra 2 Caravenna, Francesco 2 Cassandro, Marzio 2 Collet, Pierre 2 Dai Pra, Paolo 2 Daskalakis, Constantinos 2 De Masi, Anna 2 Delfino, Gesualdo 2 Ding, Jian 2 Disertori, Margherita 2 Eichelsbacher, Peter 2 Erdős, László 2 Formentin, Marco 2 Gandolfo, Daniel 2 Ganguly, Shirshendu 2 Gao, Fuqing 2 Gaudilliere, Alexandre 2 Gheissari, Reza 2 Gold, Julian 2 Iacobelli, Giulio 2 Jauslin, Ian 2 Kelbert, Mark Ya. 2 Kenyon, Claire M. 2 Kosygina, Elena 2 Kotecký, Roman 2 Landim, Claudio 2 Landsman, Nicolaas P. 2 Levit, Anna 2 Lieb, Elliott H. 2 Löwe, Matthias 2 Luckhaus, Stephan 2 Marello, Saeda 2 Miłoś, Piotr 2 Moretti, Valter 2 Mountford, Thomas S. 2 Mukhamedov, Farruh Maksutovich 2 Murata, Minoru ...and 272 more Authors
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Cited in 60 Serials

 61 Journal of Statistical Physics 50 Communications in Mathematical Physics 30 Probability Theory and Related Fields 29 The Annals of Probability 21 Stochastic Processes and their Applications 16 Journal of Mathematical Physics 12 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 The Annals of Applied Probability 7 Electronic Journal of Probability 6 Journal of Statistical Mechanics: Theory and Experiment 6 Journal of Physics A: Mathematical and Theoretical 4 Reviews in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Theoretical and Mathematical Physics 3 Journal of Functional Analysis 3 Transactions of the American Mathematical Society 3 Mathematical Physics, Analysis and Geometry 3 Journal of the European Mathematical Society (JEMS) 3 Brazilian Journal of Probability and Statistics 2 Letters in Mathematical Physics 2 Journal of the Mathematical Society of Japan 2 Journal of High Energy Physics 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Actes des Rencontres du C.I.R.M. 1 Archive for Rational Mechanics and Analysis 1 Journal d’Analyse Mathématique 1 Physica A 1 Physics Reports 1 Reports on Mathematical Physics 1 Bulletin of Mathematical Biology 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Proceedings of the Japan Academy. Series A 1 Statistics & Probability Letters 1 Stochastic Analysis and Applications 1 Journal of Theoretical Probability 1 Science in China. Series A 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 The Electronic Journal of Combinatorics 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 New Journal of Physics 1 Annals of Mathematics. Second Series 1 Annales Henri Poincaré 1 Moscow Mathematical Journal 1 Multiscale Modeling & Simulation 1 Oberwolfach Reports 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Probability Surveys 1 Journal of Theoretical Biology 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Journal de l’École Polytechnique – Mathématiques 1 Bollettino dell’Unione Matematica Italiana
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Cited in 33 Fields

 271 Statistical mechanics, structure of matter (82-XX) 214 Probability theory and stochastic processes (60-XX) 22 Quantum theory (81-XX) 19 Partial differential equations (35-XX) 17 Combinatorics (05-XX) 10 Biology and other natural sciences (92-XX) 9 Numerical analysis (65-XX) 5 Potential theory (31-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)