A variational approach to complex Monge-Ampere equations RJ Berman, S Boucksom, V Guedj, A Zeriahi Publications mathématiques de l'IHÉS 117, 179-245, 2013 | 305 | 2013 |
K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics RJ Berman Inventiones mathematicae 203 (3), 973-1025, 2016 | 276 | 2016 |
A variational approach to the Yau–Tian–Donaldson conjecture R Berman, S Boucksom, M Jonsson Journal of the American Mathematical Society 34 (3), 605-652, 2021 | 226 | 2021 |
Kähler–Einstein metrics and the Kähler–Ricci flow on log Fano varieties RJ Berman, S Boucksom, P Eyssidieux, V Guedj, A Zeriahi Journal für die reine und angewandte Mathematik (Crelles Journal) 2019 (751 …, 2019 | 203 | 2019 |
Growth of balls of holomorphic sections and energy at equilibrium R Berman, S Boucksom Inventiones mathematicae 181 (2), 337-394, 2010 | 201 | 2010 |
A thermodynamical formalism for Monge–Ampère equations, Moser–Trudinger inequalities and Kähler–Einstein metrics RJ Berman Advances in Mathematics 248, 1254-1297, 2013 | 155 | 2013 |
Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics R Berman, B Berndtsson Journal of the American Mathematical Society 30 (4), 1165-1196, 2017 | 150* | 2017 |
A direct approach to Bergman kernel asymptotics for positive line bundles R Berman, B Berndtsson, J Sjöstrand Arkiv för matematik 46, 197-217, 2008 | 145 | 2008 |
Fekete points and convergence towards equilibrium measures on complex manifolds R Berman, S Boucksom, DW Nyström | 141 | 2011 |
Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties RJ Berman, B Berndtsson Annales de la Faculté des sciences de Toulouse: Mathématiques 22 (4), 649-711, 2013 | 112 | 2013 |
Regularity of plurisubharmonic upper envelopes in big cohomology classes R Berman, JP Demailly Perspectives in Analysis, Geometry, and Topology: On the Occasion of the …, 2012 | 111 | 2012 |
Bergman kernels and equilibrium measures for line bundles over projective manifolds RJ Berman American journal of mathematics 131 (5), 1485-1524, 2009 | 110 | 2009 |
Convexity of the extended K-energy and the large time behavior of the weak Calabi flow R Berman, T Darvas, C Lu Geometry & Topology 21 (5), 2945-2988, 2017 | 104 | 2017 |
From Monge–Ampère equations to envelopes and geodesic rays in the zero temperature limit RJ Berman Mathematische Zeitschrift 291, 365-394, 2019 | 84* | 2019 |
Complex optimal transport and the pluripotential theory of K\" ahler-Ricci solitons RJ Berman, DW Nystrom arXiv preprint arXiv:1401.8264, 2014 | 84 | 2014 |
Kähler–Einstein metrics on stable varieties and log canonical pairs RJ Berman, H Guenancia Geometric and Functional Analysis 24, 1683-1730, 2014 | 80 | 2014 |
Bergman Kernels for Weighted Polynomials and Weighted Equilibrium Measures of ℂ n RJ Berman Indiana University mathematics journal, 1921-1946, 2009 | 75 | 2009 |
Determinantal point processes and fermions on complex manifolds: large deviations and bosonization RJ Berman Communications in Mathematical Physics 327, 1-47, 2014 | 61 | 2014 |
Regularity of weak minimizers of the K-energy and applications to properness and K-stability RJ Berman, T Darvas, CH Lu arXiv preprint arXiv:1602.03114, 2016 | 60 | 2016 |
Bergman kernels and local holomorphic Morse inequalities R Berman Mathematische Zeitschrift 248, 325-344, 2004 | 55 | 2004 |