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Author ID: berman.robert-j Recent zbMATH articles by "Berman, Robert J."
Published as: Berman, Robert J.; Berman, Robert; Berman, R.
Further Spellings: Berman, Robert Jakob
Homepage: http://www.chalmers.se/en/staff/Pages/robertb.aspx
External Links: MGP · Wikidata · Google Scholar · dblp

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 835 times in 483 Documents Cited by Year
A variational approach to complex Monge-Ampère equations. Zbl 1277.32049
Berman, Robert J.; Boucksom, Sébastien; Guedj, Vincent; Zeriahi, Ahmed
80
2013
K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics. Zbl 1353.14051
Berman, Robert J.
77
2016
A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics. Zbl 1286.58010
Berman, Robert J.
65
2013
A direct approach to Bergman kernel asymptotics for positive line bundles. Zbl 1161.32001
Berman, Robert; Berndtsson, Bo; Sjöstrand, Johannes
54
2008
Growth of balls of holomorphic sections and energy at equilibrium. Zbl 1208.32020
Berman, Robert; Boucksom, Sébastien
53
2010
Fekete points and convergence towards equilibrium measures on complex manifolds. Zbl 1241.32030
Berman, Robert; Boucksom, Sébastien; Witt Nyström, David
47
2011
Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties. Zbl 1430.14083
Berman, Robert J.; Boucksom, Sebastien; Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed
45
2019
Convexity of the \(K\)-energy on the space of Kähler metrics and uniqueness of extremal metrics. Zbl 1376.32028
Berman, Robert J.; Berndtsson, Bo
43
2017
Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties. Zbl 1283.58013
Berman, Robert J.; Berndtsson, Bo
38
2013
Regularity of plurisubharmonic upper envelopes in big cohomology classes. Zbl 1258.32010
Berman, Robert; Demailly, Jean-Pierre
38
2012
Bergman kernels and equilibrium measures for line bundles over projective manifolds. Zbl 1191.32008
Berman, Robert J.
33
2009
Bergman kernels for weighted polynomials and weighted equilibrium measures of \(\mathbb C^n\). Zbl 1175.32002
Berman, Robert J.
27
2009
Convexity of the extended K-energy and the large time behavior of the weak Calabi flow. Zbl 1372.53073
Berman, Robert; Darvas, Tamás; Lu, Chinh
25
2017
Kähler-Einstein metrics on stable varieties and log canonical pairs. Zbl 1319.32019
Berman, Robert J.; Guenancia, Henri
20
2014
Determinantal point processes and fermions on complex manifolds: large deviations and bosonization. Zbl 1337.60093
Berman, Robert J.
20
2014
Bergman kernels and local holomorphic Morse inequalities. Zbl 1066.32002
Berman, Robert
15
2004
From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit. Zbl 1437.32007
Berman, Robert J.
15
2019
Regularity of weak minimizers of the K-energy and applications to properness and K-stability. Zbl 1452.32027
Berman, Robert J.; Darvas, Tamás; Lu, Chinh H.
13
2020
The volume of Kähler-Einstein Fano varieties and convex bodies. Zbl 1358.53075
Berman, Robert J.; Berndtsson, Bo
12
2017
A variational approach to the Yau-Tian-Donaldson conjecture. Zbl 07420176
Berman, Robert J.; Boucksom, Sébastien; Jonsson, Mattias
12
2021
Kähler-Einstein metrics emerging from free fermions and statistical mechanics. Zbl 1303.83009
Berman, Robert J.
8
2011
Relative Kähler-Ricci flows and their quantization. Zbl 1282.14069
Berman, Robert J.
8
2013
Super Toeplitz operators on line bundles. Zbl 1104.32001
Berman, Robert
7
2006
Holomorphic Morse inequalities on manifolds with boundary. Zbl 1082.32001
Berman, Robert
7
2005
Propagation of chaos, Wasserstein gradient flows and toric Kähler-Einstein metrics. Zbl 1434.82063
Berman, Robert J.; Önnheim, Magnus
7
2018
On large deviations for Gibbs measures, mean energy and gamma-convergence. Zbl 1398.82034
Berman, Robert J.
7
2018
An arithmetic Hilbert-Samuel theorem for singular Hermitian line bundles and cusp forms. Zbl 1316.14048
Berman, Robert J.; Freixas i Montplet, Gerard
6
2014
Large deviations for Gibbs measures with singular Hamiltonians and emergence of Kähler-Einstein metrics. Zbl 1394.32019
Berman, Robert J.
6
2017
Sharp asymptotics for Toeplitz determinants and convergence towards the Gaussian free field on Riemann surfaces. Zbl 1262.60043
Berman, Robert J.
6
2012
On the optimal regularity of weak geodesics in the space of metrics on a polarized manifold. Zbl 1405.32021
Berman, Robert J.
6
2017
Determinantal point processes and fermions on polarized complex manifolds: bulk universality. Zbl 1420.32015
Berman, Robert J.
6
2018
Symmetrization of plurisubharmonic and convex functions. Zbl 1318.32038
Berman, Robert J.; Berndtsson, Bo
5
2014
Propagation of chaos for a class of first order models with singular mean field interactions. Zbl 1418.60054
Berman, Robert J.; Önnheim, Magnus
5
2019
Bergman geodesics. Zbl 1231.32002
Berman, Robert; Keller, Julien
4
2012
Sampling of real multivariate polynomials and pluripotential theory. Zbl 1396.32014
Berman, Robert J.; Ortega-Cerdà, Joaquim
4
2018
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles. Zbl 1207.32012
Berman, Robert; Sjöstrand, Johannes
2
2007
Convergence rates for discretized Monge-Ampère equations and quantitative stability of optimal transport. Zbl 1475.35151
Berman, Robert J.
2
2021
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations. Zbl 1453.35084
Berman, Robert J.
2
2020
Bergman kernels and equilibrium measures for polarized pseudo-concave domains. Zbl 1196.32003
Berman, Robert J.
1
2010
From the Kähler-Ricci flow to moving free boundaries and shocks. (Du flot de Kähler-Ricci au flot des bords libres mobiles et aux chocs.) Zbl 1440.53114
Berman, Robert J.; Lu, Chinh H.
1
2018
Tunneling, the Quillen metric and analytic torsion for high powers of a holomorphic line bundle. Zbl 1353.32022
Berman, Robert J.
1
2014
Kähler-Einstein metrics, canonical random point processes and birational geometry. Zbl 1446.32017
Berman, Robert J.
1
2018
An invitation to Kähler-Einstein metrics and random point processes. Zbl 1470.32064
Berman, Robert J.
1
2020
A variational approach to the Yau-Tian-Donaldson conjecture. Zbl 07420176
Berman, Robert J.; Boucksom, Sébastien; Jonsson, Mattias
12
2021
Convergence rates for discretized Monge-Ampère equations and quantitative stability of optimal transport. Zbl 1475.35151
Berman, Robert J.
2
2021
Regularity of weak minimizers of the K-energy and applications to properness and K-stability. Zbl 1452.32027
Berman, Robert J.; Darvas, Tamás; Lu, Chinh H.
13
2020
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations. Zbl 1453.35084
Berman, Robert J.
2
2020
An invitation to Kähler-Einstein metrics and random point processes. Zbl 1470.32064
Berman, Robert J.
1
2020
Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties. Zbl 1430.14083
Berman, Robert J.; Boucksom, Sebastien; Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed
45
2019
From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit. Zbl 1437.32007
Berman, Robert J.
15
2019
Propagation of chaos for a class of first order models with singular mean field interactions. Zbl 1418.60054
Berman, Robert J.; Önnheim, Magnus
5
2019
Propagation of chaos, Wasserstein gradient flows and toric Kähler-Einstein metrics. Zbl 1434.82063
Berman, Robert J.; Önnheim, Magnus
7
2018
On large deviations for Gibbs measures, mean energy and gamma-convergence. Zbl 1398.82034
Berman, Robert J.
7
2018
Determinantal point processes and fermions on polarized complex manifolds: bulk universality. Zbl 1420.32015
Berman, Robert J.
6
2018
Sampling of real multivariate polynomials and pluripotential theory. Zbl 1396.32014
Berman, Robert J.; Ortega-Cerdà, Joaquim
4
2018
From the Kähler-Ricci flow to moving free boundaries and shocks. (Du flot de Kähler-Ricci au flot des bords libres mobiles et aux chocs.) Zbl 1440.53114
Berman, Robert J.; Lu, Chinh H.
1
2018
Kähler-Einstein metrics, canonical random point processes and birational geometry. Zbl 1446.32017
Berman, Robert J.
1
2018
Convexity of the \(K\)-energy on the space of Kähler metrics and uniqueness of extremal metrics. Zbl 1376.32028
Berman, Robert J.; Berndtsson, Bo
43
2017
Convexity of the extended K-energy and the large time behavior of the weak Calabi flow. Zbl 1372.53073
Berman, Robert; Darvas, Tamás; Lu, Chinh
25
2017
The volume of Kähler-Einstein Fano varieties and convex bodies. Zbl 1358.53075
Berman, Robert J.; Berndtsson, Bo
12
2017
Large deviations for Gibbs measures with singular Hamiltonians and emergence of Kähler-Einstein metrics. Zbl 1394.32019
Berman, Robert J.
6
2017
On the optimal regularity of weak geodesics in the space of metrics on a polarized manifold. Zbl 1405.32021
Berman, Robert J.
6
2017
K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics. Zbl 1353.14051
Berman, Robert J.
77
2016
Kähler-Einstein metrics on stable varieties and log canonical pairs. Zbl 1319.32019
Berman, Robert J.; Guenancia, Henri
20
2014
Determinantal point processes and fermions on complex manifolds: large deviations and bosonization. Zbl 1337.60093
Berman, Robert J.
20
2014
An arithmetic Hilbert-Samuel theorem for singular Hermitian line bundles and cusp forms. Zbl 1316.14048
Berman, Robert J.; Freixas i Montplet, Gerard
6
2014
Symmetrization of plurisubharmonic and convex functions. Zbl 1318.32038
Berman, Robert J.; Berndtsson, Bo
5
2014
Tunneling, the Quillen metric and analytic torsion for high powers of a holomorphic line bundle. Zbl 1353.32022
Berman, Robert J.
1
2014
A variational approach to complex Monge-Ampère equations. Zbl 1277.32049
Berman, Robert J.; Boucksom, Sébastien; Guedj, Vincent; Zeriahi, Ahmed
80
2013
A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics. Zbl 1286.58010
Berman, Robert J.
65
2013
Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties. Zbl 1283.58013
Berman, Robert J.; Berndtsson, Bo
38
2013
Relative Kähler-Ricci flows and their quantization. Zbl 1282.14069
Berman, Robert J.
8
2013
Regularity of plurisubharmonic upper envelopes in big cohomology classes. Zbl 1258.32010
Berman, Robert; Demailly, Jean-Pierre
38
2012
Sharp asymptotics for Toeplitz determinants and convergence towards the Gaussian free field on Riemann surfaces. Zbl 1262.60043
Berman, Robert J.
6
2012
Bergman geodesics. Zbl 1231.32002
Berman, Robert; Keller, Julien
4
2012
Fekete points and convergence towards equilibrium measures on complex manifolds. Zbl 1241.32030
Berman, Robert; Boucksom, Sébastien; Witt Nyström, David
47
2011
Kähler-Einstein metrics emerging from free fermions and statistical mechanics. Zbl 1303.83009
Berman, Robert J.
8
2011
Growth of balls of holomorphic sections and energy at equilibrium. Zbl 1208.32020
Berman, Robert; Boucksom, Sébastien
53
2010
Bergman kernels and equilibrium measures for polarized pseudo-concave domains. Zbl 1196.32003
Berman, Robert J.
1
2010
Bergman kernels and equilibrium measures for line bundles over projective manifolds. Zbl 1191.32008
Berman, Robert J.
33
2009
Bergman kernels for weighted polynomials and weighted equilibrium measures of \(\mathbb C^n\). Zbl 1175.32002
Berman, Robert J.
27
2009
A direct approach to Bergman kernel asymptotics for positive line bundles. Zbl 1161.32001
Berman, Robert; Berndtsson, Bo; Sjöstrand, Johannes
54
2008
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles. Zbl 1207.32012
Berman, Robert; Sjöstrand, Johannes
2
2007
Super Toeplitz operators on line bundles. Zbl 1104.32001
Berman, Robert
7
2006
Holomorphic Morse inequalities on manifolds with boundary. Zbl 1082.32001
Berman, Robert
7
2005
Bergman kernels and local holomorphic Morse inequalities. Zbl 1066.32002
Berman, Robert
15
2004
all top 5

Cited by 398 Authors

30 Berman, Robert J.
19 Darvas, Tamás
15 Lu, Chinh Hoang
14 Guedj, Vincent
14 Zeriahi, Ahmed
13 Boucksom, Sébastien
12 Chen, Xiuxiong
12 Li, Chi
11 Di Nezza, Eleonora
10 Rubinstein, Yanir A.
9 Berndtsson, Bo
8 Fujita, Kento
8 Guenancia, Henri
8 Xu, Chenyang
8 Zelditch, Steve
7 Bayraktar, Turgay
7 Hsiao, Chin-Yu
7 Jonsson, Mattias
7 Marinescu, George
7 Sun, Song
6 Hedenmalm, Håkan
6 Levenberg, Norman jun.
6 Witt Nyström, David
6 Zhou, Bin
5 Ameur, Yacin
5 Bloom, Thomas
5 Charles, Laurent
5 Eyssidieux, Philippe
5 Feng, Renjie
5 He, Weiyong
5 Hisamoto, Tomoyuki
5 Hultgren, Jakob
5 Ma, Xiaonan
5 Odaka, Yuji
5 Piazzon, Federico
5 Tian, Gang
5 Zhu, Xiaohua
4 Åhag, Per
4 Bos, Len P.
4 Chu, Jianchun
4 Deleporte, Alix
4 Dinew, Sławomir
4 Klartag, Bo’az
4 Kołodziej, Sławomir
4 Li, Long
4 Li, Xiaoshan
4 Liu, Jiawei
4 Liu, Yuchen
4 Ma’u, Sione
4 Ortega-Cerdà, Joaquim
4 Ross, Julius
4 Shen, Liangming
4 Sjöström Dyrefelt, Zakarias
4 Spotti, Cristiano
4 Tien Cuong Dinh
4 Tosatti, Valentino
4 Wang, Yuanqi
4 Zhang, Kewei
4 Zhang, Xi
3 Apostolov, Vestislav
3 Chafaï, Djalil
3 Codogni, Giulio
3 Collins, Tristan Clifford
3 Czyż, Rafał
3 Datar, Ved V.
3 Delcroix, Thibaut
3 Dervan, Ruadhaí
3 Etayo, Ujué
3 Favre, Charles
3 Feng, Zhiming
3 García-Zelada, David
3 Haimi, Antti
3 Hashimoto, Yoshinori
3 Jin, Xishen
3 Klevtsov, Semyon
3 Kolesnikov, Alexander V.
3 Lambert, Gaultier
3 Lu, Zhiqin
3 Makarov, Nikolai Georgievich
3 Önnheim, Magnus
3 Serfaty, Sylvia
3 Seyyedali, Reza
3 Sjöstrand, Johannes
3 Song, Jian
3 Streets, Jeffrey D.
3 Székelyhidi, Gábor
3 Takahashi, Ryosuke
3 Vianello, Marco
3 Wang, Xiaowei
2 Abja, Soufian
2 Aryasomayajula, Anilatmaja
2 Auvray, Hugues
2 Beltrán, Carlos
2 Blum, Harold
2 Cegrell, Urban
2 Cheltsov, Ivan Anatol’evich
2 Cheng, Jingrui
2 Choi, Young-Jun
2 Coman, Dan
2 Deng, FuSheng
...and 298 more Authors
all top 5

Cited in 126 Serials

41 The Journal of Geometric Analysis
23 Advances in Mathematics
23 Journal of Functional Analysis
20 Mathematische Zeitschrift
18 Mathematische Annalen
17 Journal für die Reine und Angewandte Mathematik
15 Annales de l’Institut Fourier
14 Transactions of the American Mathematical Society
13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
12 International Journal of Mathematics
11 Communications in Mathematical Physics
11 Journal of the American Mathematical Society
9 Inventiones Mathematicae
8 Duke Mathematical Journal
8 Proceedings of the American Mathematical Society
7 Annales Polonici Mathematici
7 Journal of the European Mathematical Society (JEMS)
6 Constructive Approximation
6 Potential Analysis
5 Journal of Mathematical Analysis and Applications
5 Journal of Statistical Physics
5 Compositio Mathematica
5 Annals of Global Analysis and Geometry
5 Calculus of Variations and Partial Differential Equations
5 Analysis & PDE
4 Communications on Pure and Applied Mathematics
4 Journal of Mathematical Physics
4 Journal of Approximation Theory
4 Journal of the Mathematical Society of Japan
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Computational Methods and Function Theory
3 Analysis Mathematica
3 The Annals of Probability
3 Publications Mathématiques
3 Pacific Journal of Mathematics
3 The Annals of Applied Probability
3 Journal of Algebraic Geometry
3 Geometry & Topology
3 Journal of the Institute of Mathematics of Jussieu
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
2 Journal d’Analyse Mathématique
2 Journal of Computational Physics
2 Arkiv för Matematik
2 Mathematics of Computation
2 Acta Mathematica
2 Acta Mathematica Vietnamica
2 Archiv der Mathematik
2 Manuscripta Mathematica
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Tohoku Mathematical Journal. Second Series
2 Chinese Annals of Mathematics. Series B
2 Geometric and Functional Analysis. GAFA
2 Communications in Partial Differential Equations
2 SIAM Journal on Mathematical Analysis
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 SIAM Journal on Scientific Computing
2 St. Petersburg Mathematical Journal
2 Selecta Mathematica. New Series
2 Documenta Mathematica
2 Journal of High Energy Physics
2 Annales Henri Poincaré
2 International Journal of Number Theory
2 Complex Variables and Elliptic Equations
2 Science China. Mathematics
2 Journal de l’École Polytechnique – Mathématiques
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Journal of Geometry and Physics
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 Commentarii Mathematici Helvetici
1 Geometriae Dedicata
1 Indiana University Mathematics Journal
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Geometry
1 Journal of Multivariate Analysis
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 Quarterly of Applied Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Numerical Analysis
1 Bulletin of the Korean Mathematical Society
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 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Stochastic Processes and their Applications
1 Bulletin of the American Mathematical Society. New Series
1 Kyushu Journal of Mathematics
1 Journal of Convex Analysis
...and 26 more Serials
all top 5

Cited in 45 Fields

305 Several complex variables and analytic spaces (32-XX)
182 Differential geometry (53-XX)
122 Algebraic geometry (14-XX)
59 Partial differential equations (35-XX)
51 Probability theory and stochastic processes (60-XX)
40 Global analysis, analysis on manifolds (58-XX)
25 Statistical mechanics, structure of matter (82-XX)
21 Functions of a complex variable (30-XX)
17 Potential theory (31-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
14 Approximations and expansions (41-XX)
14 Numerical analysis (65-XX)
14 Quantum theory (81-XX)
12 Operator theory (47-XX)
11 Convex and discrete geometry (52-XX)
10 Number theory (11-XX)
9 Functional analysis (46-XX)
7 Statistics (62-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 Real functions (26-XX)
4 Special functions (33-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Manifolds and cell complexes (57-XX)
4 Fluid mechanics (76-XX)
3 General and overarching topics; collections (00-XX)
3 Computer science (68-XX)
3 Relativity and gravitational theory (83-XX)
2 Commutative algebra (13-XX)
2 \(K\)-theory (19-XX)
2 Measure and integration (28-XX)
2 Mechanics of particles and systems (70-XX)
2 Operations research, mathematical programming (90-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Ordinary differential equations (34-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Optics, electromagnetic theory (78-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

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