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Berman, Robert J.

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Author ID: berman.robert-j Recent zbMATH articles by "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

Publications by Year

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 1277.32049
Berman, 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 1286.58010
Berman, Robert J.
60
2013
K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics. Zbl 1353.14051
Berman, Robert J.
59
2016
Growth of balls of holomorphic sections and energy at equilibrium. Zbl 1208.32020
Berman, Robert; Boucksom, Sébastien
48
2010
A direct approach to Bergman kernel asymptotics for positive line bundles. Zbl 1161.32001
Berman, Robert; Berndtsson, Bo; Sjöstrand, Johannes
48
2008
Fekete points and convergence towards equilibrium measures on complex manifolds. Zbl 1241.32030
Berman, Robert; Boucksom, Sébastien; Witt Nyström, David
44
2011
Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties. Zbl 1283.58013
Berman, Robert J.; Berndtsson, Bo
33
2013
Regularity of plurisubharmonic upper envelopes in big cohomology classes. Zbl 1258.32010
Berman, Robert; Demailly, Jean-Pierre
33
2012
Convexity of the \(K\)-energy on the space of Kähler metrics and uniqueness of extremal metrics. Zbl 1376.32028
Berman, Robert J.; Berndtsson, Bo
30
2017
Bergman kernels and equilibrium measures for line bundles over projective manifolds. Zbl 1191.32008
Berman, Robert J.
30
2009
Bergman kernels for weighted polynomials and weighted equilibrium measures of \(\mathbb C^n\). Zbl 1175.32002
Berman, Robert J.
27
2009
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
25
2019
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
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
14
2017
Kähler-Einstein metrics on stable varieties and log canonical pairs. Zbl 1319.32019
Berman, Robert J.; Guenancia, Henri
14
2014
The volume of Kähler-Einstein Fano varieties and convex bodies. Zbl 1358.53075
Berman, Robert J.; Berndtsson, Bo
10
2017
From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit. Zbl 1437.32007
Berman, Robert J.
7
2019
On large deviations for Gibbs measures, mean energy and gamma-convergence. Zbl 1398.82034
Berman, Robert J.
7
2018
Propagation of chaos, Wasserstein gradient flows and toric Kähler-Einstein metrics. Zbl 1434.82063
Berman, Robert J.; Önnheim, Magnus
7
2018
Kähler-Einstein metrics emerging from free fermions and statistical mechanics. Zbl 1303.83009
Berman, Robert J.
7
2011
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
Large deviations for Gibbs measures with singular Hamiltonians and emergence of Kähler-Einstein metrics. Zbl 1394.32019
Berman, Robert J.
5
2017
Relative Kähler-Ricci flows and their quantization. Zbl 1282.14069
Berman, Robert J.
5
2013
Propagation of chaos for a class of first order models with singular mean field interactions. Zbl 1418.60054
Berman, Robert J.; Önnheim, Magnus
4
2019
Determinantal point processes and fermions on polarized complex manifolds: bulk universality. Zbl 1420.32015
Berman, Robert J.
4
2018
Symmetrization of plurisubharmonic and convex functions. Zbl 1318.32038
Berman, Robert J.; Berndtsson, Bo
4
2014
Sharp asymptotics for Toeplitz determinants and convergence towards the Gaussian free field on Riemann surfaces. Zbl 1262.60043
Berman, Robert J.
4
2012
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.
3
2020
On the optimal regularity of weak geodesics in the space of metrics on a polarized manifold. Zbl 1405.32021
Berman, Robert J.
3
2017
An arithmetic Hilbert-Samuel theorem for singular Hermitian line bundles and cusp forms. Zbl 1316.14048
Berman, Robert J.; Freixas i Montplet, Gerard
3
2014
Bergman geodesics. Zbl 1231.32002
Berman, Robert; Keller, Julien
3
2012
Sampling of real multivariate polynomials and pluripotential theory. Zbl 1396.32014
Berman, Robert J.; Ortega-Cerdà, Joaquim
2
2018
From the Kähler-Ricci flow to moving free boundaries and shocks. Zbl 1440.53114
Berman, Robert J.; Lu, Chinh H.
1
2018
Bergman kernels and equilibrium measures for polarized pseudo-concave domains. Zbl 1196.32003
Berman, Robert J.
1
2010
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles. Zbl 1207.32012
Berman, Robert; Sjöstrand, Johannes
1
2007
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.
3
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
25
2019
From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit. Zbl 1437.32007
Berman, Robert J.
7
2019
Propagation of chaos for a class of first order models with singular mean field interactions. Zbl 1418.60054
Berman, Robert J.; Önnheim, Magnus
4
2019
On large deviations for Gibbs measures, mean energy and gamma-convergence. Zbl 1398.82034
Berman, Robert J.
7
2018
Propagation of chaos, Wasserstein gradient flows and toric Kähler-Einstein metrics. Zbl 1434.82063
Berman, Robert J.; Önnheim, Magnus
7
2018
Determinantal point processes and fermions on polarized complex manifolds: bulk universality. Zbl 1420.32015
Berman, Robert J.
4
2018
Sampling of real multivariate polynomials and pluripotential theory. Zbl 1396.32014
Berman, Robert J.; Ortega-Cerdà, Joaquim
2
2018
From the Kähler-Ricci flow to moving free boundaries and shocks. Zbl 1440.53114
Berman, Robert J.; Lu, Chinh H.
1
2018
Convexity of the \(K\)-energy on the space of Kähler metrics and uniqueness of extremal metrics. Zbl 1376.32028
Berman, Robert J.; Berndtsson, Bo
30
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
14
2017
The volume of Kähler-Einstein Fano varieties and convex bodies. Zbl 1358.53075
Berman, Robert J.; Berndtsson, Bo
10
2017
Large deviations for Gibbs measures with singular Hamiltonians and emergence of Kähler-Einstein metrics. Zbl 1394.32019
Berman, Robert J.
5
2017
On the optimal regularity of weak geodesics in the space of metrics on a polarized manifold. Zbl 1405.32021
Berman, Robert J.
3
2017
K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics. Zbl 1353.14051
Berman, Robert J.
59
2016
Determinantal point processes and fermions on complex manifolds: large deviations and bosonization. Zbl 1337.60093
Berman, Robert J.
20
2014
Kähler-Einstein metrics on stable varieties and log canonical pairs. Zbl 1319.32019
Berman, Robert J.; Guenancia, Henri
14
2014
Symmetrization of plurisubharmonic and convex functions. Zbl 1318.32038
Berman, Robert J.; Berndtsson, Bo
4
2014
An arithmetic Hilbert-Samuel theorem for singular Hermitian line bundles and cusp forms. Zbl 1316.14048
Berman, Robert J.; Freixas i Montplet, Gerard
3
2014
A variational approach to complex Monge-Ampère equations. Zbl 1277.32049
Berman, 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 1286.58010
Berman, Robert J.
60
2013
Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties. Zbl 1283.58013
Berman, Robert J.; Berndtsson, Bo
33
2013
Relative Kähler-Ricci flows and their quantization. Zbl 1282.14069
Berman, Robert J.
5
2013
Regularity of plurisubharmonic upper envelopes in big cohomology classes. Zbl 1258.32010
Berman, Robert; Demailly, Jean-Pierre
33
2012
Sharp asymptotics for Toeplitz determinants and convergence towards the Gaussian free field on Riemann surfaces. Zbl 1262.60043
Berman, Robert J.
4
2012
Bergman geodesics. Zbl 1231.32002
Berman, Robert; Keller, Julien
3
2012
Fekete points and convergence towards equilibrium measures on complex manifolds. Zbl 1241.32030
Berman, Robert; Boucksom, Sébastien; Witt Nyström, David
44
2011
Kähler-Einstein metrics emerging from free fermions and statistical mechanics. Zbl 1303.83009
Berman, Robert J.
7
2011
Growth of balls of holomorphic sections and energy at equilibrium. Zbl 1208.32020
Berman, Robert; Boucksom, Sébastien
48
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.
30
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
48
2008
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles. Zbl 1207.32012
Berman, Robert; Sjöstrand, Johannes
1
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 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

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