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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. J.; 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

47 Publications have been cited 1,136 times in 610 Documents Cited by Year
A variational approach to complex Monge-Ampère equations. Zbl 1277.32049
Berman, Robert J.; Boucksom, Sébastien; Guedj, Vincent; Zeriahi, Ahmed
106
2013
K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics. Zbl 1353.14051
Berman, Robert J.
102
2016
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
90
2019
A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics. Zbl 1286.58010
Berman, Robert J.
74
2013
Growth of balls of holomorphic sections and energy at equilibrium. Zbl 1208.32020
Berman, Robert; Boucksom, Sébastien
65
2010
A direct approach to Bergman kernel asymptotics for positive line bundles. Zbl 1161.32001
Berman, Robert; Berndtsson, Bo; Sjöstrand, Johannes
59
2008
Convexity of the \(K\)-energy on the space of Kähler metrics and uniqueness of extremal metrics. Zbl 1376.32028
Berman, Robert J.; Berndtsson, Bo
57
2017
Fekete points and convergence towards equilibrium measures on complex manifolds. Zbl 1241.32030
Berman, Robert; Boucksom, Sébastien; Witt Nyström, David
53
2011
Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties. Zbl 1283.58013
Berman, Robert J.; Berndtsson, Bo
46
2013
A variational approach to the Yau-Tian-Donaldson conjecture. Zbl 1487.32141
Berman, Robert J.; Boucksom, Sébastien; Jonsson, Mattias
45
2021
Regularity of plurisubharmonic upper envelopes in big cohomology classes. Zbl 1258.32010
Berman, Robert; Demailly, Jean-Pierre
40
2012
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
39
2017
Bergman kernels and equilibrium measures for line bundles over projective manifolds. Zbl 1191.32008
Berman, Robert J.
37
2009
Bergman kernels for weighted polynomials and weighted equilibrium measures of \(\mathbb C^n\). Zbl 1175.32002
Berman, Robert J.
32
2009
Kähler-Einstein metrics on stable varieties and log canonical pairs. Zbl 1319.32019
Berman, Robert J.; Guenancia, Henri
28
2014
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.
26
2020
Determinantal point processes and fermions on complex manifolds: large deviations and bosonization. Zbl 1337.60093
Berman, Robert J.
24
2014
From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit. Zbl 1437.32007
Berman, Robert J.
22
2019
Bergman kernels and local holomorphic Morse inequalities. Zbl 1066.32002
Berman, Robert
16
2004
The volume of Kähler-Einstein Fano varieties and convex bodies. Zbl 1358.53075
Berman, Robert J.; Berndtsson, Bo
16
2017
Kähler-Einstein metrics emerging from free fermions and statistical mechanics. Zbl 1303.83009
Berman, Robert J.
11
2011
Propagation of chaos for a class of first order models with singular mean field interactions. Zbl 1418.60054
Berman, Robert J.; Önnheim, Magnus
11
2019
On large deviations for Gibbs measures, mean energy and gamma-convergence. Zbl 1398.82034
Berman, Robert J.
11
2018
Relative Kähler-Ricci flows and their quantization. Zbl 1282.14069
Berman, Robert J.
9
2013
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations. Zbl 1453.35084
Berman, Robert J.
9
2020
Propagation of chaos, Wasserstein gradient flows and toric Kähler-Einstein metrics. Zbl 1434.82063
Berman, Robert J.; Önnheim, Magnus
8
2018
Kähler-Einstein metrics, canonical random point processes and birational geometry. Zbl 1446.32017
Berman, Robert J.
8
2018
Large deviations for Gibbs measures with singular Hamiltonians and emergence of Kähler-Einstein metrics. Zbl 1394.32019
Berman, Robert J.
8
2017
Determinantal point processes and fermions on polarized complex manifolds: bulk universality. Zbl 1420.32015
Berman, Robert J.
8
2018
Holomorphic Morse inequalities on manifolds with boundary. Zbl 1082.32001
Berman, Robert
7
2005
Super Toeplitz operators on line bundles. Zbl 1104.32001
Berman, Robert
7
2006
Sharp asymptotics for Toeplitz determinants and convergence towards the Gaussian free field on Riemann surfaces. Zbl 1262.60043
Berman, Robert J.
7
2012
Moser-Trudinger type inequalities for complex Monge-Ampère operators and Aubin’s “hypothèse fondamentale”. Zbl 07712230
Berman, Robert J.; Berndtsson, Bo
7
2022
Sampling of real multivariate polynomials and pluripotential theory. Zbl 1396.32014
Berman, Robert J.; Ortega-Cerdà, Joaquim
6
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
Symmetrization of plurisubharmonic and convex functions. Zbl 1318.32038
Berman, Robert J.; Berndtsson, Bo
6
2014
On the optimal regularity of weak geodesics in the space of metrics on a polarized manifold. Zbl 1405.32021
Berman, Robert J.
6
2017
Bergman geodesics. Zbl 1231.32002
Berman, Robert; Keller, Julien
6
2012
Convergence rates for discretized Monge-Ampère equations and quantitative stability of optimal transport. Zbl 1475.35151
Berman, Robert J.
4
2021
An invitation to Kähler-Einstein metrics and random point processes. Zbl 1470.32064
Berman, Robert J.
3
2020
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles. Zbl 1207.32012
Berman, Robert; Sjöstrand, Johannes
2
2007
Statistical mechanics of interpolation nodes, pluripotential theory and complex geometry. Zbl 1452.32040
Berman, Robert J.
2
2019
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.
2
2018
On the strict convexity of the K-energy. Zbl 1442.53048
Berman, Robert J.
2
2019
Tunneling, the Quillen metric and analytic torsion for high powers of a holomorphic line bundle. Zbl 1353.32022
Berman, Robert J.
1
2014
Bergman kernels and equilibrium measures for polarized pseudo-concave domains. Zbl 1196.32003
Berman, Robert J.
1
2010
Priors leading to well-behaved Coulomb and Riesz gases versus zeroth-order phase transitions – a potential-theoretic characterization. Zbl 1491.60170
Berman, Robert J.
1
2021
Moser-Trudinger type inequalities for complex Monge-Ampère operators and Aubin’s “hypothèse fondamentale”. Zbl 07712230
Berman, Robert J.; Berndtsson, Bo
7
2022
A variational approach to the Yau-Tian-Donaldson conjecture. Zbl 1487.32141
Berman, Robert J.; Boucksom, Sébastien; Jonsson, Mattias
45
2021
Convergence rates for discretized Monge-Ampère equations and quantitative stability of optimal transport. Zbl 1475.35151
Berman, Robert J.
4
2021
Priors leading to well-behaved Coulomb and Riesz gases versus zeroth-order phase transitions – a potential-theoretic characterization. Zbl 1491.60170
Berman, Robert J.
1
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.
26
2020
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations. Zbl 1453.35084
Berman, Robert J.
9
2020
An invitation to Kähler-Einstein metrics and random point processes. Zbl 1470.32064
Berman, Robert J.
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
90
2019
From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit. Zbl 1437.32007
Berman, Robert J.
22
2019
Propagation of chaos for a class of first order models with singular mean field interactions. Zbl 1418.60054
Berman, Robert J.; Önnheim, Magnus
11
2019
Statistical mechanics of interpolation nodes, pluripotential theory and complex geometry. Zbl 1452.32040
Berman, Robert J.
2
2019
On the strict convexity of the K-energy. Zbl 1442.53048
Berman, Robert J.
2
2019
On large deviations for Gibbs measures, mean energy and gamma-convergence. Zbl 1398.82034
Berman, Robert J.
11
2018
Propagation of chaos, Wasserstein gradient flows and toric Kähler-Einstein metrics. Zbl 1434.82063
Berman, Robert J.; Önnheim, Magnus
8
2018
Kähler-Einstein metrics, canonical random point processes and birational geometry. Zbl 1446.32017
Berman, Robert J.
8
2018
Determinantal point processes and fermions on polarized complex manifolds: bulk universality. Zbl 1420.32015
Berman, Robert J.
8
2018
Sampling of real multivariate polynomials and pluripotential theory. Zbl 1396.32014
Berman, Robert J.; Ortega-Cerdà, Joaquim
6
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.
2
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
57
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
39
2017
The volume of Kähler-Einstein Fano varieties and convex bodies. Zbl 1358.53075
Berman, Robert J.; Berndtsson, Bo
16
2017
Large deviations for Gibbs measures with singular Hamiltonians and emergence of Kähler-Einstein metrics. Zbl 1394.32019
Berman, Robert J.
8
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.
102
2016
Kähler-Einstein metrics on stable varieties and log canonical pairs. Zbl 1319.32019
Berman, Robert J.; Guenancia, Henri
28
2014
Determinantal point processes and fermions on complex manifolds: large deviations and bosonization. Zbl 1337.60093
Berman, Robert J.
24
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
6
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
106
2013
A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics. Zbl 1286.58010
Berman, Robert J.
74
2013
Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties. Zbl 1283.58013
Berman, Robert J.; Berndtsson, Bo
46
2013
Relative Kähler-Ricci flows and their quantization. Zbl 1282.14069
Berman, Robert J.
9
2013
Regularity of plurisubharmonic upper envelopes in big cohomology classes. Zbl 1258.32010
Berman, Robert; Demailly, Jean-Pierre
40
2012
Sharp asymptotics for Toeplitz determinants and convergence towards the Gaussian free field on Riemann surfaces. Zbl 1262.60043
Berman, Robert J.
7
2012
Bergman geodesics. Zbl 1231.32002
Berman, Robert; Keller, Julien
6
2012
Fekete points and convergence towards equilibrium measures on complex manifolds. Zbl 1241.32030
Berman, Robert; Boucksom, Sébastien; Witt Nyström, David
53
2011
Kähler-Einstein metrics emerging from free fermions and statistical mechanics. Zbl 1303.83009
Berman, Robert J.
11
2011
Growth of balls of holomorphic sections and energy at equilibrium. Zbl 1208.32020
Berman, Robert; Boucksom, Sébastien
65
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.
37
2009
Bergman kernels for weighted polynomials and weighted equilibrium measures of \(\mathbb C^n\). Zbl 1175.32002
Berman, Robert J.
32
2009
A direct approach to Bergman kernel asymptotics for positive line bundles. Zbl 1161.32001
Berman, Robert; Berndtsson, Bo; Sjöstrand, Johannes
59
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
16
2004
all top 5

Cited by 506 Authors

35 Berman, Robert J.
21 Darvas, Tamás
19 Lu, Chinh Hoang
18 Guedj, Vincent
16 Zeriahi, Ahmed
14 Li, Chi
13 Berndtsson, Bo
13 Boucksom, Sébastien
13 Di Nezza, Eleonora
12 Chen, Xiuxiong
11 Guenancia, Henri
10 Rubinstein, Yanir A.
10 Xu, Chenyang
9 Fujita, Kento
9 Witt Nyström, David
8 Liu, Yuchen
8 Marinescu, George
8 Wang, Feng
8 Zelditch, Steve
7 Bayraktar, Turgay
7 Hisamoto, Tomoyuki
7 Hsiao, Chin-Yu
7 Jonsson, Mattias
7 Sun, Song
7 Tian, Gang
6 Chu, Jianchun
6 Eyssidieux, Philippe
6 Hedenmalm, Håkan
6 Kołodziej, Sławomir
6 Levenberg, Norman jun.
6 Ma, Xiaonan
6 Zhou, Bin
6 Zhu, Xiaohua
5 Åhag, Per
5 Ameur, Yacin
5 Bloom, Thomas
5 Charles, Laurent
5 Deleporte, Alix
5 Feng, Renjie
5 He, Weiyong
5 Hultgren, Jakob
5 Klartag, Bo’az
5 Klevtsov, Semyon
5 Li, Long
5 Li, Xiaoshan
5 Odaka, Yuji
5 Piazzon, Federico
5 Ross, Julius
5 Serfaty, Sylvia
5 Shen, Liangming
5 Spotti, Cristiano
5 Takahashi, Ryosuke
5 Tosatti, Valentino
5 Vianello, Marco
4 Blum, Harold
4 Bos, Len P.
4 Czyż, Rafał
4 Delcroix, Thibaut
4 Dervan, Ruadhaí
4 Dinew, Sławomir
4 Favre, Charles
4 García-Zelada, David
4 Liu, Jiawei
4 Ma’u, Sione
4 Nguyen, Ngoc Cuong
4 Nutz, Marcel
4 Ortega-Cerdà, Joaquim
4 Sjöström Dyrefelt, Zakarias
4 Song, Jian
4 Tien Cuong Dinh
4 Wang, Xiaowei
4 Wang, Yuanqi
4 Zhang, Kewei
4 Zhang, Xi
3 Apostolov, Vestislav
3 Chafaï, Djalil
3 Codogni, Giulio
3 Collins, Tristan Clifford
3 Datar, Ved V.
3 Deng, FuSheng
3 Etayo, Ujué
3 Feng, Zhiming
3 Haimi, Antti
3 Hajli, Mounir
3 Hashimoto, Yoshinori
3 Huang, Hongnian
3 Hwang, Dongseon
3 Jin, Xishen
3 Kolesnikov, Alexander V.
3 Lambert, Gaultier
3 Li, Yan
3 Lu, Zhiqin
3 Makarov, Nikolai Georgievich
3 McCleerey, Nicholas
3 Narayan, Akil C.
3 Önnheim, Magnus
3 Park, Jihun
3 Petracci, Andrea
3 Seyyedali, Reza
3 Sjöstrand, Johannes
...and 406 more Authors
all top 5

Cited in 150 Serials

47 The Journal of Geometric Analysis
25 Journal of Functional Analysis
25 Journal für die Reine und Angewandte Mathematik
24 Advances in Mathematics
24 Mathematische Zeitschrift
19 Mathematische Annalen
16 Annales de l’Institut Fourier
16 Transactions of the American Mathematical Society
16 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
13 International Journal of Mathematics
12 Communications in Mathematical Physics
11 Journal of the American Mathematical Society
11 Analysis & PDE
10 Inventiones Mathematicae
9 Duke Mathematical Journal
9 Proceedings of the American Mathematical Society
8 Annales Polonici Mathematici
8 Annals of Global Analysis and Geometry
8 Calculus of Variations and Partial Differential Equations
8 Geometry & Topology
8 Journal of the European Mathematical Society (JEMS)
7 Analysis Mathematica
7 Compositio Mathematica
6 Journal of Mathematical Physics
6 Constructive Approximation
6 Potential Analysis
5 Journal of Mathematical Analysis and Applications
5 Journal of Statistical Physics
4 Communications on Pure and Applied Mathematics
4 Publications Mathématiques
4 Journal of Approximation Theory
4 Journal of the London Mathematical Society. Second Series
4 Journal of the Mathematical Society of Japan
4 Pacific Journal of Mathematics
4 The Annals of Applied Probability
4 SIAM Journal on Mathematical Analysis
4 Journal of Algebraic Geometry
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Computational Methods and Function Theory
4 Journal of the Institute of Mathematics of Jussieu
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Oberwolfach Reports
3 Journal d’Analyse Mathématique
3 Acta Mathematica
3 The Annals of Probability
3 Archiv der Mathematik
3 Manuscripta Mathematica
3 SIAM Journal on Scientific Computing
3 Selecta Mathematica. New Series
3 Electronic Journal of Probability
3 Journal of High Energy Physics
3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
3 Science China. Mathematics
3 Journal de l’École Polytechnique – Mathématiques
2 Archive for Rational Mechanics and Analysis
2 Journal of Computational Physics
2 Arkiv för Matematik
2 Mathematics of Computation
2 Acta Mathematica Vietnamica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Indiana University Mathematics Journal
2 Journal of Algebra
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Tôhoku Mathematical Journal. Second Series
2 Chinese Annals of Mathematics. Series B
2 Probability Theory and Related Fields
2 European Journal of Applied Mathematics
2 Geometric and Functional Analysis. GAFA
2 Communications in Partial Differential Equations
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 St. Petersburg Mathematical Journal
2 Discrete and Continuous Dynamical Systems
2 Documenta Mathematica
2 Annals of Mathematics. Second Series
2 Annales Henri Poincaré
2 International Journal of Number Theory
2 Complex Variables and Elliptic Equations
2 Kinetic and Related Models
2 Analysis and Mathematical Physics
2 European Journal of Mathematics
2 Peking Mathematical Journal
1 Applicable Analysis
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Journal of Geometry and Physics
1 American Journal of Mathematics
1 Applied Mathematics and Computation
1 Bulletin of the London Mathematical Society
1 Commentarii Mathematici Helvetici
1 Geometriae Dedicata
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Geometry
1 Journal of Multivariate Analysis
1 Michigan Mathematical Journal
1 Numerische Mathematik
1 Osaka Journal of Mathematics
...and 50 more Serials
all top 5

Cited in 48 Fields

382 Several complex variables and analytic spaces (32-XX)
227 Differential geometry (53-XX)
167 Algebraic geometry (14-XX)
79 Partial differential equations (35-XX)
68 Probability theory and stochastic processes (60-XX)
48 Global analysis, analysis on manifolds (58-XX)
35 Statistical mechanics, structure of matter (82-XX)
22 Functions of a complex variable (30-XX)
21 Numerical analysis (65-XX)
20 Potential theory (31-XX)
18 Approximations and expansions (41-XX)
17 Convex and discrete geometry (52-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
16 Quantum theory (81-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
13 Operator theory (47-XX)
11 Number theory (11-XX)
9 Functional analysis (46-XX)
9 Statistics (62-XX)
8 Real functions (26-XX)
8 Operations research, mathematical programming (90-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 General and overarching topics; collections (00-XX)
6 Fluid mechanics (76-XX)
5 Special functions (33-XX)
4 Computer science (68-XX)
4 Relativity and gravitational theory (83-XX)
3 Commutative algebra (13-XX)
3 Manifolds and cell complexes (57-XX)
2 \(K\)-theory (19-XX)
2 Measure and integration (28-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Algebraic topology (55-XX)
2 Mechanics of particles and systems (70-XX)
1 Combinatorics (05-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Optics, electromagnetic theory (78-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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