# zbMATH — the first resource for mathematics

## Sheffield, Scott

Compute Distance To:
 Author ID: sheffield.scott Published as: Sheffield, Scott; Sheffield, S. Homepage: http://math.mit.edu/~sheffield/ External Links: IdRef · Google Scholar · MGP · Wikidata · dblp Awards: Clay Research Award (2017)
 Documents Indexed: 62 Publications since 2002, including 2 Books
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#### Co-Authors

 7 single-authored 16 Miller, Jason P. 7 Schramm, Oded 5 Levine, Lionel 5 Peres, Yuval 5 Wilson, David Bruce 4 Duplantier, Bertrand 4 Jerison, David S. 3 Gwynne, Ewain 3 Kenyon, Richard W. 3 Rhodes, Rémi 3 Vargas, Vincent 3 Werner, Wendelin 2 Alberts, Tom 2 Naor, Assaf 2 Watson, Samuel S. 1 Angel, Omer 1 Antunović, Tonći 1 Burdzy, Krzysztof 1 Dembo, Amir 1 Hammond, Alan 1 Hilário, Marcelo Richard 1 Holden, Nina 1 Kovchegov, Yevgeniy V. 1 Lawler, Gregory Francis 1 Lodhia, Asad 1 Louidor, Oren 1 Mörters, Peter 1 Nahmod, Andrea R. 1 Newman, Charles Michael 1 Okun’kov, Andreĭ Yur’evich 1 Rey-Bellet, Luc 1 Rolla, Leonardo T. 1 Sidoravicius, Vladas 1 Smart, Charles K. 1 Somersille, Stephanie J. 1 Spencer, Thomas C. 1 Staffilani, Gigliola 1 Stange, Katherine E. 1 Sun, Nike 1 Sun, Xin 1 Yadin, Ariel
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#### Serials

 12 The Annals of Probability 8 Probability Theory and Related Fields 5 Duke Mathematical Journal 4 Electronic Journal of Probability 3 Communications in Mathematical Physics 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Annals of Mathematics. Second Series 2 Communications on Pure and Applied Mathematics 2 Inventiones Mathematicae 2 Transactions of the American Mathematical Society 2 Journal of the American Mathematical Society 1 American Mathematical Monthly 1 Acta Mathematica 1 Journal of Combinatorial Theory. Series B 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Communications in Partial Differential Equations 1 Mathematical Research Letters 1 Electronic Communications in Probability 1 Journal of the European Mathematical Society (JEMS) 1 Astérisque 1 IAS/Park City Mathematics Series 1 Probability Surveys 1 Forum of Mathematics, Pi 1 Journal de l’École Polytechnique – Mathématiques
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#### Fields

 53 Probability theory and stochastic processes (60-XX) 20 Statistical mechanics, structure of matter (82-XX) 8 Combinatorics (05-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Measure and integration (28-XX) 5 Partial differential equations (35-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Relativity and gravitational theory (83-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

60 Publications have been cited 2,042 times in 961 Documents Cited by Year
Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott
2006
Tug-of-war and the infinity Laplacian. Zbl 1206.91002
Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B.
2009
Liouville quantum gravity and KPZ. Zbl 1226.81241
Duplantier, Bertrand; Sheffield, Scott
2011
Gaussian free fields for mathematicians. Zbl 1132.60072
Sheffield, Scott
2007
Contour lines of the two-dimensional discrete Gaussian free field. Zbl 1210.60051
Schramm, Oded; Sheffield, Scott
2009
Tug-of-war with noise: a game-theoretic view of the $$p$$-Laplacian. Zbl 1206.35112
Peres, Yuval; Sheffield, Scott
2008
Conformal weldings of random surfaces: SLE and the quantum gravity zipper. Zbl 1388.60144
Sheffield, Scott
2016
Imaginary geometry. I: Interacting SLEs. Zbl 1336.60162
Miller, Jason; Sheffield, Scott
2016
A contour line of the continuum Gaussian free field. Zbl 1331.60090
Schramm, Oded; Sheffield, Scott
2013
Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees. Zbl 1378.60108
Miller, Jason; Sheffield, Scott
2017
Exploration trees and conformal loop ensembles. Zbl 1170.60008
Sheffield, Scott
2009
Conformal loop ensembles: the Markovian characterization and the loop-soup construction. Zbl 1271.60090
Sheffield, Scott; Werner, Wendelin
2012
Renormalization of critical Gaussian multiplicative chaos and KPZ relation. Zbl 1297.60033
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
2014
Critical Gaussian multiplicative chaos: convergence of the derivative martingale. Zbl 1306.60055
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
2014
Imaginary geometry. III: Reversibility of $$\mathrm{SLE}_\kappa$$ for $$\kappa \in (4,8)$$. Zbl 1393.60092
Miller, Jason; Sheffield, Scott
2016
Imaginary geometry. II: Reversibility of $$\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})$$ for $$\kappa\in(0,4)$$. Zbl 1344.60078
Miller, Jason; Sheffield, Scott
2016
Quantum Loewner evolution. Zbl 1364.82023
Miller, Jason; Sheffield, Scott
2016
Random surfaces. Zbl 1104.60002
Sheffield, Scott
2005
Harmonic explorer and its convergence to $$\text{SLE}_4$$. Zbl 1095.60007
Schramm, Oded; Sheffield, Scott
2005
Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces. Zbl 1108.46012
Naor, Assaf; Peres, Yuval; Schramm, Oded; Sheffield, Scott
2006
Quantum gravity and inventory accumulation. Zbl 1359.60120
Sheffield, Scott
2016
Liouville quantum gravity and the Brownian map. I: The $$\text{QLE}(8/3,0)$$ metric. Zbl 1437.83042
Miller, Jason; Sheffield, Scott
2020
Conformal radii for conformal loop ensembles. Zbl 1187.82044
Schramm, Oded; Sheffield, Scott; Wilson, David B.
2009
A natural parametrization for the Schramm-Loewner evolution. Zbl 1234.60087
Lawler, Gregory F.; Sheffield, Scott
2011
Absolute continuity of Brownian bridges under certain gauge transformations. Zbl 1250.60018
Nahmod, Andrea R.; Rey-Bellet, Luc; Sheffield, Scott; Staffilani, Gigliola
2011
Logarithmic fluctuations for internal DLA. Zbl 1237.60037
Jerison, David; Levine, Lionel; Sheffield, Scott
2012
Fractional Gaussian fields: a survey. Zbl 1334.60055
Lodhia, Asad; Sheffield, Scott; Sun, Xin; Watson, Samuel S.
2016
Internal DLA and the Gaussian free field. Zbl 1296.60113
Jerison, David; Levine, Lionel; Sheffield, Scott
2014
Vector-valued optimal Lipschitz extensions. Zbl 1233.35068
Sheffield, Scott; Smart, Charles K.
2012
Bipolar orientations on planar maps and $$\mathrm{SLE}_{12}$$. Zbl 1466.60170
Kenyon, Richard; Miller, Jason; Sheffield, Scott; Wilson, David B.
2019
Hausdorff dimension of the SLE curve intersected with the real line. Zbl 1192.60025
Alberts, Tom; Sheffield, Scott
2008
Tug-of-war and infinity Laplace equation with vanishing Neumann boundary condition. Zbl 1268.35065
Antunović, Tonći; Peres, Yuval; Sheffield, Scott; Somersille, Stephanie
2012
Internal DLA in higher dimensions. Zbl 1290.60051
Jerison, David; Levine, Lionel; Sheffield, Scott
2013
Log-correlated Gaussian fields: an overview. Zbl 1366.60023
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
2017
Harmonic functions on mated-CRT maps. Zbl 1466.60090
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
2019
Random-turn hex and other selection games. Zbl 1153.91012
Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B.
2007
Liouville quantum gravity spheres as matings of finite-diameter trees. Zbl 1448.60168
Miller, Jason; Sheffield, Scott
2019
Large deviations of Markov chains indexed by random trees. Zbl 1078.60020
Dembo, Amir; Mörters, Peter; Sheffield, Scott
2005
Dimers, tilings and trees. Zbl 1055.05032
Kenyon, Richard W.; Sheffield, Scott
2004
Schramm’s proof of Watts’ formula. Zbl 1238.60089
Sheffield, Scott; Wilson, David B.
2011
CLE percolations. Zbl 1390.60356
Miller, Jason; Sheffield, Scott; Werner, Wendelin
2017
The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to $$\sqrt{8/3}$$-Liouville quantum gravity. Zbl 1441.60015
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
2020
The covariant measure of SLE on the boundary. Zbl 1244.60081
Alberts, Tom; Sheffield, Scott
2011
Power law Pólya’s urn and fractional Brownian motion. Zbl 1311.60044
Hammond, Alan; Sheffield, Scott
2013
Absolutely minimal Lipschitz extension of tree-valued mappings. Zbl 1276.46062
Naor, Assaf; Sheffield, Scott
2012
Liouville quantum gravity and the Brownian map III: the conformal structure is determined. Zbl 07334605
Miller, Jason; Sheffield, Scott
2021
Ribbon tilings and multidimensional height functions. Zbl 1018.68057
Sheffield, Scott
2002
Strong path convergence from Loewner driving function convergence. Zbl 1255.60148
Sheffield, Scott; Sun, Nike
2012
Non-simple SLE curves are not determined by their range. Zbl 07174683
Miller, Jason; Sheffield, Scott; Werner, Wendelin
2020
Deterministic approximations of random reflectors. Zbl 1408.37063
Angel, Omer; Burdzy, Krzysztof; Sheffield, Scott
2013
An axiomatic characterization of the Brownian map. (Une caractérisation axiomatique de la carte Brownienne.) Zbl 07329548
Miller, Jason; Sheffield, Scott
2021
Simple CLE in doubly connected domains. Zbl 1370.60141
Sheffield, Scott; Watson, Samuel S.; Wu, Hao
2017
Internal DLA for cylinders. Zbl 1334.60210
Jerison, David; Levine, Lionel; Sheffield, Scott
2014
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity. Zbl 07367520
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
2021
Linear speed large deviations for percolation clusters. Zbl 1060.60097
Kovchegov, Yevgeniy; Sheffield, Scott
2003
Uniqueness of maximal entropy measure on essential spanning forests. Zbl 1106.60012
Sheffield, Scott
2006
Tricolor percolation and random paths in 3D. Zbl 1307.60147
2014
A duality principle for selection games. Zbl 1401.91021
Levine, Lionel; Sheffield, Scott; Stange, Katherine E.
2013
Scaling limits of the Schelling model. Zbl 1442.60100
Holden, Nina; Sheffield, Scott
2020
Gaussian free field light cones and $$\text{SLE}_{\kappa}(\rho)$$. Zbl 1453.60142
Miller, Jason; Sheffield, Scott
2019
Liouville quantum gravity and the Brownian map III: the conformal structure is determined. Zbl 07334605
Miller, Jason; Sheffield, Scott
2021
An axiomatic characterization of the Brownian map. (Une caractérisation axiomatique de la carte Brownienne.) Zbl 07329548
Miller, Jason; Sheffield, Scott
2021
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity. Zbl 07367520
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
2021
Liouville quantum gravity and the Brownian map. I: The $$\text{QLE}(8/3,0)$$ metric. Zbl 1437.83042
Miller, Jason; Sheffield, Scott
2020
The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to $$\sqrt{8/3}$$-Liouville quantum gravity. Zbl 1441.60015
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
2020
Non-simple SLE curves are not determined by their range. Zbl 07174683
Miller, Jason; Sheffield, Scott; Werner, Wendelin
2020
Scaling limits of the Schelling model. Zbl 1442.60100
Holden, Nina; Sheffield, Scott
2020
Bipolar orientations on planar maps and $$\mathrm{SLE}_{12}$$. Zbl 1466.60170
Kenyon, Richard; Miller, Jason; Sheffield, Scott; Wilson, David B.
2019
Harmonic functions on mated-CRT maps. Zbl 1466.60090
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
2019
Liouville quantum gravity spheres as matings of finite-diameter trees. Zbl 1448.60168
Miller, Jason; Sheffield, Scott
2019
Gaussian free field light cones and $$\text{SLE}_{\kappa}(\rho)$$. Zbl 1453.60142
Miller, Jason; Sheffield, Scott
2019
Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees. Zbl 1378.60108
Miller, Jason; Sheffield, Scott
2017
Log-correlated Gaussian fields: an overview. Zbl 1366.60023
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
2017
CLE percolations. Zbl 1390.60356
Miller, Jason; Sheffield, Scott; Werner, Wendelin
2017
Simple CLE in doubly connected domains. Zbl 1370.60141
Sheffield, Scott; Watson, Samuel S.; Wu, Hao
2017
Conformal weldings of random surfaces: SLE and the quantum gravity zipper. Zbl 1388.60144
Sheffield, Scott
2016
Imaginary geometry. I: Interacting SLEs. Zbl 1336.60162
Miller, Jason; Sheffield, Scott
2016
Imaginary geometry. III: Reversibility of $$\mathrm{SLE}_\kappa$$ for $$\kappa \in (4,8)$$. Zbl 1393.60092
Miller, Jason; Sheffield, Scott
2016
Imaginary geometry. II: Reversibility of $$\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})$$ for $$\kappa\in(0,4)$$. Zbl 1344.60078
Miller, Jason; Sheffield, Scott
2016
Quantum Loewner evolution. Zbl 1364.82023
Miller, Jason; Sheffield, Scott
2016
Quantum gravity and inventory accumulation. Zbl 1359.60120
Sheffield, Scott
2016
Fractional Gaussian fields: a survey. Zbl 1334.60055
Lodhia, Asad; Sheffield, Scott; Sun, Xin; Watson, Samuel S.
2016
Renormalization of critical Gaussian multiplicative chaos and KPZ relation. Zbl 1297.60033
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
2014
Critical Gaussian multiplicative chaos: convergence of the derivative martingale. Zbl 1306.60055
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
2014
Internal DLA and the Gaussian free field. Zbl 1296.60113
Jerison, David; Levine, Lionel; Sheffield, Scott
2014
Internal DLA for cylinders. Zbl 1334.60210
Jerison, David; Levine, Lionel; Sheffield, Scott
2014
Tricolor percolation and random paths in 3D. Zbl 1307.60147
2014
A contour line of the continuum Gaussian free field. Zbl 1331.60090
Schramm, Oded; Sheffield, Scott
2013
Internal DLA in higher dimensions. Zbl 1290.60051
Jerison, David; Levine, Lionel; Sheffield, Scott
2013
Power law Pólya’s urn and fractional Brownian motion. Zbl 1311.60044
Hammond, Alan; Sheffield, Scott
2013
Deterministic approximations of random reflectors. Zbl 1408.37063
Angel, Omer; Burdzy, Krzysztof; Sheffield, Scott
2013
A duality principle for selection games. Zbl 1401.91021
Levine, Lionel; Sheffield, Scott; Stange, Katherine E.
2013
Conformal loop ensembles: the Markovian characterization and the loop-soup construction. Zbl 1271.60090
Sheffield, Scott; Werner, Wendelin
2012
Logarithmic fluctuations for internal DLA. Zbl 1237.60037
Jerison, David; Levine, Lionel; Sheffield, Scott
2012
Vector-valued optimal Lipschitz extensions. Zbl 1233.35068
Sheffield, Scott; Smart, Charles K.
2012
Tug-of-war and infinity Laplace equation with vanishing Neumann boundary condition. Zbl 1268.35065
Antunović, Tonći; Peres, Yuval; Sheffield, Scott; Somersille, Stephanie
2012
Absolutely minimal Lipschitz extension of tree-valued mappings. Zbl 1276.46062
Naor, Assaf; Sheffield, Scott
2012
Strong path convergence from Loewner driving function convergence. Zbl 1255.60148
Sheffield, Scott; Sun, Nike
2012
Liouville quantum gravity and KPZ. Zbl 1226.81241
Duplantier, Bertrand; Sheffield, Scott
2011
A natural parametrization for the Schramm-Loewner evolution. Zbl 1234.60087
Lawler, Gregory F.; Sheffield, Scott
2011
Absolute continuity of Brownian bridges under certain gauge transformations. Zbl 1250.60018
Nahmod, Andrea R.; Rey-Bellet, Luc; Sheffield, Scott; Staffilani, Gigliola
2011
Schramm’s proof of Watts’ formula. Zbl 1238.60089
Sheffield, Scott; Wilson, David B.
2011
The covariant measure of SLE on the boundary. Zbl 1244.60081
Alberts, Tom; Sheffield, Scott
2011
Tug-of-war and the infinity Laplacian. Zbl 1206.91002
Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B.
2009
Contour lines of the two-dimensional discrete Gaussian free field. Zbl 1210.60051
Schramm, Oded; Sheffield, Scott
2009
Exploration trees and conformal loop ensembles. Zbl 1170.60008
Sheffield, Scott
2009
Conformal radii for conformal loop ensembles. Zbl 1187.82044
Schramm, Oded; Sheffield, Scott; Wilson, David B.
2009
Tug-of-war with noise: a game-theoretic view of the $$p$$-Laplacian. Zbl 1206.35112
Peres, Yuval; Sheffield, Scott
2008
Hausdorff dimension of the SLE curve intersected with the real line. Zbl 1192.60025
Alberts, Tom; Sheffield, Scott
2008
Gaussian free fields for mathematicians. Zbl 1132.60072
Sheffield, Scott
2007
Random-turn hex and other selection games. Zbl 1153.91012
Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B.
2007
Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott
2006
Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces. Zbl 1108.46012
Naor, Assaf; Peres, Yuval; Schramm, Oded; Sheffield, Scott
2006
Uniqueness of maximal entropy measure on essential spanning forests. Zbl 1106.60012
Sheffield, Scott
2006
Random surfaces. Zbl 1104.60002
Sheffield, Scott
2005
Harmonic explorer and its convergence to $$\text{SLE}_4$$. Zbl 1095.60007
Schramm, Oded; Sheffield, Scott
2005
Large deviations of Markov chains indexed by random trees. Zbl 1078.60020
Dembo, Amir; Mörters, Peter; Sheffield, Scott
2005
Dimers, tilings and trees. Zbl 1055.05032
Kenyon, Richard W.; Sheffield, Scott
2004
Linear speed large deviations for percolation clusters. Zbl 1060.60097
Kovchegov, Yevgeniy; Sheffield, Scott
2003
Ribbon tilings and multidimensional height functions. Zbl 1018.68057
Sheffield, Scott
2002
all top 5

#### Cited by 914 Authors

 39 Sheffield, Scott 36 Miller, Jason P. 28 Rossi, Julio Daniel 27 Gwynne, Ewain 23 Rhodes, Rémi 23 Vargas, Vincent 20 Manfredi, Juan J. 17 Naor, Assaf 15 Parviainen, Mikko 15 Peres, Yuval 14 Sun, Xin 13 Katzourakis, Nikolaos I. 12 Ding, Jian 12 Garban, Christophe 12 Toninelli, Fabio Lucio 12 Werner, Wendelin 11 Borodin, Alexei 11 Camia, Federico 11 Lawler, Gregory Francis 11 Saksman, Eero 10 Holden, Nina 10 Levine, Lionel 10 Schramm, Oded 10 Sepúlveda, Avelio 10 Viklund, Fredrik Johansson 10 Webb, Christian 10 Wilson, David Bruce 9 Gorin, Vadim 8 Aru, Juhan 8 Curien, Nicolas 8 Dubédat, Julien 8 Kupiainen, Antti 8 Liu, Qing 7 Boutillier, Cédric 7 Cipriani, Alessandra 7 Duplantier, Bertrand 7 Kenyon, Richard W. 7 Qian, Wei 7 Reshetikhin, Nikolai Yu. 7 Zhan, Dapeng 7 Zhou, Yuan 6 Armstrong, Scott N. 6 Berestycki, Nathanaël 6 Biskup, Marek 6 Chhita, Sunil 6 Corwin, Ivan 6 Hazra, Rajat Subhra 6 Kytölä, Kalle 6 Laslier, Benoît 6 Pronko, Andrei G. 6 Smart, Charles K. 6 Smits, Robert G. 6 Tzvetkov, Nikolay 6 Yamazaki, Masahito 6 Zeitouni, Ofer 5 Beliaev, Dmitri B. 5 Ciucu, Mihai 5 Colomo, Filippo 5 Crasta, Graziano 5 de Tilière, Béatrice 5 Di Francesco, Philippe 5 Duits, Maurice 5 Flores, Steven M. 5 Fragalà, Ilaria 5 Franco, Sebastián 5 Jin, Xiong 5 Kleban, Peter 5 Lambert, Gaultier 5 Lewicka, Marta 5 Liu, Fang 5 Luiro, Hannes 5 Mohammed, Ahmed 5 Oh, Tadahiro 5 Ostrovskii, Dmitrii M. 5 Peltola, Eveliina 5 Pérez-Llanos, Mayte 5 Pfeffer, Joshua 5 Powell, Ellen 5 Wang, Yilin 4 Alberts, Tom 4 Ang, Morris 4 Arroyo, Angel 4 Barral, Julien 4 Blanc, Pablo 4 Budd, Timothy G. 4 Bufetov, Alekseĭ Igor’evich 4 Caputo, Pietro 4 Charro, Fernando 4 Cimasoni, David 4 Deblassie, Dante 4 Del Pezzo, Leandro M. 4 Duminil-Copin, Hugo 4 Elmoataz, Abderrahim 4 Falconet, Hugo 4 Fyodorov, Yan V. 4 Ganguly, Shirshendu 4 Guitter, Emmanuel 4 Izyurov, Konstantin 4 Johansson, Kurt 4 Juutinen, Petri ...and 814 more Authors
all top 5

#### Cited in 191 Serials

 108 Communications in Mathematical Physics 83 Probability Theory and Related Fields 72 The Annals of Probability 47 Journal of Statistical Physics 29 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 19 Electronic Journal of Probability 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Duke Mathematical Journal 17 Proceedings of the American Mathematical Society 16 Transactions of the American Mathematical Society 14 Advances in Mathematics 13 Inventiones Mathematicae 13 Stochastic Processes and their Applications 12 Journal of Differential Equations 12 Calculus of Variations and Partial Differential Equations 12 Annales Henri Poincaré 11 Journal of High Energy Physics 10 Communications on Pure and Applied Mathematics 10 Journal of Mathematical Physics 10 Mathematische Annalen 10 The Annals of Applied Probability 9 Journal of Statistical Mechanics: Theory and Experiment 8 Journal of Mathematical Analysis and Applications 8 Journal of Functional Analysis 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Journal of the American Mathematical Society 8 Electronic Communications in Probability 8 Communications on Pure and Applied Analysis 8 Probability Surveys 7 Annals of Mathematics. Second Series 7 Journal of the European Mathematical Society (JEMS) 6 Archive for Rational Mechanics and Analysis 6 Israel Journal of Mathematics 6 Letters in Mathematical Physics 6 Acta Mathematica 6 Statistics & Probability Letters 6 Journal of Theoretical Probability 6 Geometric and Functional Analysis. GAFA 6 Communications in Partial Differential Equations 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Potential Analysis 6 Communications in Contemporary Mathematics 5 Annales de l’Institut Fourier 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Bulletin of the American Mathematical Society. New Series 5 Selecta Mathematica. New Series 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 4 Nuclear Physics. B 4 Journal of Combinatorial Theory. Series A 4 The Journal of Geometric Analysis 4 NoDEA. Nonlinear Differential Equations and Applications 4 Bernoulli 4 Discrete and Continuous Dynamical Systems 4 Journal de l’École Polytechnique – Mathématiques 3 Publications Mathématiques 3 Discrete & Computational Geometry 3 Journal of Mathematical Sciences (New York) 3 The Electronic Journal of Combinatorics 3 Acta Mathematica Sinica. English Series 3 Advanced Nonlinear Studies 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Complex Variables and Elliptic Equations 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Journal of Physics A: Mathematical and Theoretical 3 Forum of Mathematics, Pi 3 Forum of Mathematics, Sigma 2 Advances in Applied Probability 2 Discrete Mathematics 2 Journal of Computational Physics 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Reviews in Mathematical Physics 2 Journal of Geometry and Physics 2 Applied Mathematics and Optimization 2 Journal of the London Mathematical Society. Second Series 2 Le Matematiche 2 Mathematische Zeitschrift 2 Mathematika 2 European Journal of Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Journal of Mathematical Imaging and Vision 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Geometry & Topology 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of the Institute of Mathematics of Jussieu 2 S$$\vec{\text{e}}$$MA Journal 2 Analysis and Geometry in Metric Spaces 2 Advances in Nonlinear Analysis 1 Modern Physics Letters B 1 International Journal of Modern Physics A 1 American Mathematical Monthly 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Information Processing Letters 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Mathematische Semesterberichte 1 Physica A ...and 91 more Serials
all top 5

#### Cited in 56 Fields

 526 Probability theory and stochastic processes (60-XX) 281 Statistical mechanics, structure of matter (82-XX) 238 Partial differential equations (35-XX) 118 Combinatorics (05-XX) 96 Quantum theory (81-XX) 57 Functions of a complex variable (30-XX) 49 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Measure and integration (28-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 38 Functional analysis (46-XX) 36 Potential theory (31-XX) 35 Dynamical systems and ergodic theory (37-XX) 31 Differential geometry (53-XX) 29 Algebraic geometry (14-XX) 28 Relativity and gravitational theory (83-XX) 23 Convex and discrete geometry (52-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Numerical analysis (65-XX) 18 Operator theory (47-XX) 18 Computer science (68-XX) 15 Special functions (33-XX) 13 General topology (54-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Number theory (11-XX) 11 Real functions (26-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Group theory and generalizations (20-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Ordinary differential equations (34-XX) 8 Statistics (62-XX) 7 Difference and functional equations (39-XX) 6 Associative rings and algebras (16-XX) 6 Topological groups, Lie groups (22-XX) 6 Abstract harmonic analysis (43-XX) 6 Geometry (51-XX) 6 Fluid mechanics (76-XX) 6 Operations research, mathematical programming (90-XX) 4 Nonassociative rings and algebras (17-XX) 4 Manifolds and cell complexes (57-XX) 4 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Integral equations (45-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

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