Edit Profile Berman, Robert J. Compute Distance To: Compute Author ID: berman.robert-j Published as: Berman, Robert; Berman, Robert J. Homepage: http://www.chalmers.se/en/staff/Pages/robertb.aspx External Links: MGP · Wikidata · dblp Documents Indexed: 43 Publications since 2004 all top 5 Co-Authors 23 single-authored 5 Berndtsson, Bo 4 Boucksom, Sébastien 3 Lu, Chinh Hoang 2 Darvas, Tamás 2 Guedj, Vincent 2 Önnheim, Magnus 2 Sjöstrand, Johannes 2 Zeriahi, Ahmed 1 Demailly, Jean-Pierre 1 Eyssidieux, Philippe 1 Freixas i Montplet, Gerard 1 Guenancia, Henri 1 Keller, Julien 1 Ortega-Cerdà, Joaquim 1 Witt Nyström, David all top 5 Serials 2 Communications in Mathematical Physics 2 American Journal of Mathematics 2 Annales de l’Institut Fourier 2 Indiana University Mathematics Journal 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Zeitschrift 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Analysis & PDE 1 Arkiv för Matematik 1 Acta Mathematica 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Publications Mathématiques 1 Numerische Mathematik 1 Constructive Approximation 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 SIAM Journal on Mathematical Analysis 1 Geometry & Topology 1 Journal of High Energy Physics 1 Pure and Applied Mathematics Quarterly 1 Journal de l’École Polytechnique – Mathématiques all top 5 Fields 37 Several complex variables and analytic spaces (32-XX) 12 Differential geometry (53-XX) 9 Algebraic geometry (14-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Probability theory and stochastic processes (60-XX) 4 Partial differential equations (35-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Quantum theory (81-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 659 times in 387 Documents Cited by ▼ Year ▼ A variational approach to complex Monge-Ampère equations. Zbl 1277.32049Berman, Robert J.; Boucksom, Sébastien; Guedj, Vincent; Zeriahi, Ahmed 64 2013 A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics. Zbl 1286.58010Berman, Robert J. 60 2013 K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics. Zbl 1353.14051Berman, Robert J. 59 2016 Growth of balls of holomorphic sections and energy at equilibrium. Zbl 1208.32020Berman, Robert; Boucksom, Sébastien 48 2010 A direct approach to Bergman kernel asymptotics for positive line bundles. Zbl 1161.32001Berman, Robert; Berndtsson, Bo; Sjöstrand, Johannes 48 2008 Fekete points and convergence towards equilibrium measures on complex manifolds. Zbl 1241.32030Berman, Robert; Boucksom, Sébastien; Witt Nyström, David 44 2011 Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties. Zbl 1283.58013Berman, Robert J.; Berndtsson, Bo 33 2013 Regularity of plurisubharmonic upper envelopes in big cohomology classes. Zbl 1258.32010Berman, Robert; Demailly, Jean-Pierre 33 2012 Convexity of the \(K\)-energy on the space of Kähler metrics and uniqueness of extremal metrics. Zbl 1376.32028Berman, Robert J.; Berndtsson, Bo 30 2017 Bergman kernels and equilibrium measures for line bundles over projective manifolds. Zbl 1191.32008Berman, Robert J. 30 2009 Bergman kernels for weighted polynomials and weighted equilibrium measures of \(\mathbb C^n\). Zbl 1175.32002Berman, Robert J. 27 2009 Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties. Zbl 1430.14083Berman, Robert J.; Boucksom, Sebastien; Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed 25 2019 Determinantal point processes and fermions on complex manifolds: large deviations and bosonization. Zbl 1337.60093Berman, Robert J. 20 2014 Bergman kernels and local holomorphic Morse inequalities. Zbl 1066.32002Berman, Robert 15 2004 Convexity of the extended K-energy and the large time behavior of the weak Calabi flow. Zbl 1372.53073Berman, Robert; Darvas, Tamás; Lu, Chinh 14 2017 Kähler-Einstein metrics on stable varieties and log canonical pairs. Zbl 1319.32019Berman, Robert J.; Guenancia, Henri 14 2014 The volume of Kähler-Einstein Fano varieties and convex bodies. Zbl 1358.53075Berman, Robert J.; Berndtsson, Bo 10 2017 From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit. Zbl 1437.32007Berman, Robert J. 7 2019 On large deviations for Gibbs measures, mean energy and gamma-convergence. Zbl 1398.82034Berman, Robert J. 7 2018 Propagation of chaos, Wasserstein gradient flows and toric Kähler-Einstein metrics. Zbl 1434.82063Berman, Robert J.; Önnheim, Magnus 7 2018 Kähler-Einstein metrics emerging from free fermions and statistical mechanics. Zbl 1303.83009Berman, Robert J. 7 2011 Super Toeplitz operators on line bundles. Zbl 1104.32001Berman, Robert 7 2006 Holomorphic Morse inequalities on manifolds with boundary. Zbl 1082.32001Berman, Robert 7 2005 Large deviations for Gibbs measures with singular Hamiltonians and emergence of Kähler-Einstein metrics. Zbl 1394.32019Berman, Robert J. 5 2017 Relative Kähler-Ricci flows and their quantization. Zbl 1282.14069Berman, Robert J. 5 2013 Propagation of chaos for a class of first order models with singular mean field interactions. Zbl 1418.60054Berman, Robert J.; Önnheim, Magnus 4 2019 Determinantal point processes and fermions on polarized complex manifolds: bulk universality. Zbl 1420.32015Berman, Robert J. 4 2018 Symmetrization of plurisubharmonic and convex functions. Zbl 1318.32038Berman, Robert J.; Berndtsson, Bo 4 2014 Sharp asymptotics for Toeplitz determinants and convergence towards the Gaussian free field on Riemann surfaces. Zbl 1262.60043Berman, Robert J. 4 2012 Regularity of weak minimizers of the K-energy and applications to properness and K-stability. Zbl 1452.32027Berman, Robert J.; Darvas, Tamás; Lu, Chinh H. 3 2020 On the optimal regularity of weak geodesics in the space of metrics on a polarized manifold. Zbl 1405.32021Berman, Robert J. 3 2017 An arithmetic Hilbert-Samuel theorem for singular Hermitian line bundles and cusp forms. Zbl 1316.14048Berman, Robert J.; Freixas i Montplet, Gerard 3 2014 Bergman geodesics. Zbl 1231.32002Berman, Robert; Keller, Julien 3 2012 Sampling of real multivariate polynomials and pluripotential theory. Zbl 1396.32014Berman, Robert J.; Ortega-Cerdà, Joaquim 2 2018 From the Kähler-Ricci flow to moving free boundaries and shocks. Zbl 1440.53114Berman, Robert J.; Lu, Chinh H. 1 2018 Bergman kernels and equilibrium measures for polarized pseudo-concave domains. Zbl 1196.32003Berman, Robert J. 1 2010 Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles. Zbl 1207.32012Berman, Robert; Sjöstrand, Johannes 1 2007 Regularity of weak minimizers of the K-energy and applications to properness and K-stability. Zbl 1452.32027Berman, Robert J.; Darvas, Tamás; Lu, Chinh H. 3 2020 Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties. Zbl 1430.14083Berman, Robert J.; Boucksom, Sebastien; Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed 25 2019 From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit. Zbl 1437.32007Berman, Robert J. 7 2019 Propagation of chaos for a class of first order models with singular mean field interactions. Zbl 1418.60054Berman, Robert J.; Önnheim, Magnus 4 2019 On large deviations for Gibbs measures, mean energy and gamma-convergence. Zbl 1398.82034Berman, Robert J. 7 2018 Propagation of chaos, Wasserstein gradient flows and toric Kähler-Einstein metrics. Zbl 1434.82063Berman, Robert J.; Önnheim, Magnus 7 2018 Determinantal point processes and fermions on polarized complex manifolds: bulk universality. Zbl 1420.32015Berman, Robert J. 4 2018 Sampling of real multivariate polynomials and pluripotential theory. Zbl 1396.32014Berman, Robert J.; Ortega-Cerdà, Joaquim 2 2018 From the Kähler-Ricci flow to moving free boundaries and shocks. Zbl 1440.53114Berman, Robert J.; Lu, Chinh H. 1 2018 Convexity of the \(K\)-energy on the space of Kähler metrics and uniqueness of extremal metrics. Zbl 1376.32028Berman, Robert J.; Berndtsson, Bo 30 2017 Convexity of the extended K-energy and the large time behavior of the weak Calabi flow. Zbl 1372.53073Berman, Robert; Darvas, Tamás; Lu, Chinh 14 2017 The volume of Kähler-Einstein Fano varieties and convex bodies. Zbl 1358.53075Berman, Robert J.; Berndtsson, Bo 10 2017 Large deviations for Gibbs measures with singular Hamiltonians and emergence of Kähler-Einstein metrics. Zbl 1394.32019Berman, Robert J. 5 2017 On the optimal regularity of weak geodesics in the space of metrics on a polarized manifold. Zbl 1405.32021Berman, Robert J. 3 2017 K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics. Zbl 1353.14051Berman, Robert J. 59 2016 Determinantal point processes and fermions on complex manifolds: large deviations and bosonization. Zbl 1337.60093Berman, Robert J. 20 2014 Kähler-Einstein metrics on stable varieties and log canonical pairs. Zbl 1319.32019Berman, Robert J.; Guenancia, Henri 14 2014 Symmetrization of plurisubharmonic and convex functions. Zbl 1318.32038Berman, Robert J.; Berndtsson, Bo 4 2014 An arithmetic Hilbert-Samuel theorem for singular Hermitian line bundles and cusp forms. Zbl 1316.14048Berman, Robert J.; Freixas i Montplet, Gerard 3 2014 A variational approach to complex Monge-Ampère equations. Zbl 1277.32049Berman, Robert J.; Boucksom, Sébastien; Guedj, Vincent; Zeriahi, Ahmed 64 2013 A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics. Zbl 1286.58010Berman, Robert J. 60 2013 Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties. Zbl 1283.58013Berman, Robert J.; Berndtsson, Bo 33 2013 Relative Kähler-Ricci flows and their quantization. Zbl 1282.14069Berman, Robert J. 5 2013 Regularity of plurisubharmonic upper envelopes in big cohomology classes. Zbl 1258.32010Berman, Robert; Demailly, Jean-Pierre 33 2012 Sharp asymptotics for Toeplitz determinants and convergence towards the Gaussian free field on Riemann surfaces. Zbl 1262.60043Berman, Robert J. 4 2012 Bergman geodesics. Zbl 1231.32002Berman, Robert; Keller, Julien 3 2012 Fekete points and convergence towards equilibrium measures on complex manifolds. Zbl 1241.32030Berman, Robert; Boucksom, Sébastien; Witt Nyström, David 44 2011 Kähler-Einstein metrics emerging from free fermions and statistical mechanics. Zbl 1303.83009Berman, Robert J. 7 2011 Growth of balls of holomorphic sections and energy at equilibrium. Zbl 1208.32020Berman, Robert; Boucksom, Sébastien 48 2010 Bergman kernels and equilibrium measures for polarized pseudo-concave domains. Zbl 1196.32003Berman, Robert J. 1 2010 Bergman kernels and equilibrium measures for line bundles over projective manifolds. Zbl 1191.32008Berman, Robert J. 30 2009 Bergman kernels for weighted polynomials and weighted equilibrium measures of \(\mathbb C^n\). Zbl 1175.32002Berman, Robert J. 27 2009 A direct approach to Bergman kernel asymptotics for positive line bundles. Zbl 1161.32001Berman, Robert; Berndtsson, Bo; Sjöstrand, Johannes 48 2008 Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles. Zbl 1207.32012Berman, Robert; Sjöstrand, Johannes 1 2007 Super Toeplitz operators on line bundles. Zbl 1104.32001Berman, Robert 7 2006 Holomorphic Morse inequalities on manifolds with boundary. Zbl 1082.32001Berman, Robert 7 2005 Bergman kernels and local holomorphic Morse inequalities. Zbl 1066.32002Berman, Robert 15 2004 all cited Publications top 5 cited Publications all top 5 Cited by 334 Authors 29 Berman, Robert J. 14 Darvas, Tamás 14 Zeriahi, Ahmed 13 Guedj, Vincent 11 Boucksom, Sébastien 11 Lu, Chinh Hoang 10 Chen, Xiuxiong 9 Berndtsson, Bo 9 Di Nezza, Eleonora 9 Li, Chi 8 Rubinstein, Yanir A. 7 Hsiao, Chin-Yu 7 Zelditch, Steve 6 Bayraktar, Turgay 6 Fujita, Kento 6 Guenancia, Henri 6 Hedenmalm, Håkan 6 Jonsson, Mattias 6 Levenberg, Norman jun. 6 Marinescu, George 6 Sun, Song 6 Xu, Chenyang 6 Zhou, Bin 5 Ameur, Yacin 5 Bloom, Thomas 5 Eyssidieux, Philippe 5 Feng, Renjie 5 Hashimoto, Yoshinori 5 Odaka, Yuji 5 Piazzon, Federico 5 Witt Nyström, David 4 Deleporte, Alix 4 Dinew, Sławomir 4 He, Weiyong 4 Hisamoto, Tomoyuki 4 Klartag, Bo’az 4 Kołodziej, Sławomir 4 Li, Long 4 Li, Xiaoshan 4 Ma, Xiaonan 4 Spotti, Cristiano 4 Tien Cuong Dinh 4 Tosatti, Valentino 4 Vianello, Marco 4 Wang, Yuanqi 3 Åhag, Per 3 Bos, Len P. 3 Chafaï, Djalil 3 Charles, Laurent 3 Chu, Jianchun 3 Codogni, Giulio 3 Dervan, Ruadhaí 3 Favre, Charles 3 Haimi, Antti 3 Hultgren, Jakob 3 Jin, Xishen 3 Klevtsov, Semyon 3 Kolesnikov, Alexander V. 3 Lambert, Gaultier 3 Liu, Jiawei 3 Liu, Yuchen 3 Lu, Zhiqin 3 Makarov, Nikolai Georgievich 3 Ma’u, Sione 3 Önnheim, Magnus 3 Ortega-Cerdà, Joaquim 3 Ross, Julius 3 Serfaty, Sylvia 3 Seyyedali, Reza 3 Shen, Liangming 3 Sjöstrand, Johannes 3 Sjöström Dyrefelt, Zakarias 3 Sommariva, Alvise 3 Zhang, Xi 3 Zheng, Kai 3 Zhu, Xiaohua 2 Abja, Soufian 2 Aryasomayajula, Anilatmaja 2 Beltrán, Carlos 2 Blum, Harold 2 Cegrell, Urban 2 Cheltsov, Ivan Anatol’evich 2 Collins, Tristan Clifford 2 Coman, Dan 2 Czyż, Rafał 2 Datar, Ved V. 2 Delcroix, Thibaut 2 Deng, FuSheng 2 Donaldson, Simon Kirwan 2 Etayo, Ujué 2 Feng, Zhiming 2 Friedman, Joshua S. 2 García-Zelada, David 2 Gozlan, Nathael 2 Guo, Bin 2 Hajli, Mounir 2 Hardy, Adrien 2 Henk, Martin 2 Herrmann, Hendrik 2 Jakeman, John Davis ...and 234 more Authors all top 5 Cited in 107 Serials 29 The Journal of Geometric Analysis 19 Advances in Mathematics 19 Journal of Functional Analysis 16 Mathematische Annalen 13 Annales de l’Institut Fourier 13 Mathematische Zeitschrift 13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 12 Journal für die Reine und Angewandte Mathematik 11 Communications in Mathematical Physics 11 Transactions of the American Mathematical Society 10 International Journal of Mathematics 7 Duke Mathematical Journal 7 Inventiones Mathematicae 6 Annales Polonici Mathematici 6 Proceedings of the American Mathematical Society 6 Constructive Approximation 6 Journal of the American Mathematical Society 6 Potential Analysis 5 Journal of Mathematical Analysis and Applications 5 Journal of Statistical Physics 5 Journal of the European Mathematical Society (JEMS) 5 Analysis & PDE 4 Communications on Pure and Applied Mathematics 4 Journal of Mathematical Physics 4 Compositio Mathematica 4 Journal of the Mathematical Society of Japan 4 Annals of Global Analysis and Geometry 3 The Annals of Probability 3 Publications Mathématiques 3 Journal of Approximation Theory 3 Pacific Journal of Mathematics 3 SIAM Journal on Mathematical Analysis 3 Calculus of Variations and Partial Differential Equations 3 Geometry & Topology 3 Journal of High Energy Physics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Computational Methods and Function Theory 3 Journal of the Institute of Mathematics of Jussieu 2 Analysis Mathematica 2 Journal d’Analyse Mathématique 2 Arkiv för Matematik 2 Mathematics of Computation 2 Acta Mathematica 2 Acta Mathematica Vietnamica 2 Archiv der Mathematik 2 Manuscripta Mathematica 2 Tohoku Mathematical Journal. Second Series 2 Chinese Annals of Mathematics. Series B 2 The Annals of Applied Probability 2 Geometric and Functional Analysis. GAFA 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 SIAM Journal on Scientific Computing 2 Journal of Algebraic Geometry 2 International Journal of Number Theory 2 Complex Variables and Elliptic Equations 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Journal de l’École Polytechnique – Mathématiques 1 Applicable Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Indiana University Mathematics Journal 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Probability Theory and Related Fields 1 SIAM Journal on Discrete Mathematics 1 Forum Mathematicum 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 St. Petersburg Mathematical Journal 1 Kyushu Journal of Mathematics 1 Selecta Mathematica. New Series 1 Advances in Computational Mathematics 1 Electronic Journal of Probability 1 Sbornik: Mathematics 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Oberwolfach Reports 1 Frontiers of Mathematics in China 1 Algebra & Number Theory 1 Kinetic and Related Models 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 Kyoto Journal of Mathematics ...and 7 more Serials all top 5 Cited in 43 Fields 244 Several complex variables and analytic spaces (32-XX) 138 Differential geometry (53-XX) 89 Algebraic geometry (14-XX) 44 Partial differential equations (35-XX) 43 Probability theory and stochastic processes (60-XX) 36 Global analysis, analysis on manifolds (58-XX) 25 Statistical mechanics, structure of matter (82-XX) 20 Functions of a complex variable (30-XX) 15 Potential theory (31-XX) 14 Quantum theory (81-XX) 13 Approximations and expansions (41-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Numerical analysis (65-XX) 11 Operator theory (47-XX) 8 Number theory (11-XX) 8 Functional analysis (46-XX) 8 Convex and discrete geometry (52-XX) 4 Special functions (33-XX) 4 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistics (62-XX) 3 Fluid mechanics (76-XX) 3 Relativity and gravitational theory (83-XX) 2 Commutative algebra (13-XX) 2 \(K\)-theory (19-XX) 2 Real functions (26-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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