Concepedia

Pluripotential Theory

Pluripotential Theory is a branch of complex analysis that studies plurisubharmonic functions and their associated positive closed currents, providing a framework for generalizing potential theory to several complex variables through the analysis of complex Monge–Ampère operators.

53

Publications

1.9K

Citations

54

Authors

64

Institutions

Publications per year

2017–2026

13

Parents

Publications

53

The complex Monge-Ampère equation and pluripotential theory

Sławomir Kołodziej · Memoirs of the American Mathematical Society · 2005 · 198 citations

, , +14

Fekete points and convergence towards equilibrium measures on complex manifolds

Robert J. Berman, Sébastien Boucksom, David Witt Nyström · Acta Mathematica · 2011 · 118 citations · Full text

, , +7

A variational approach to the Yau-Tian-Donaldson conjecture

Robert J. Berman, Sébastien Boucksom, Mattias Jönsson · arXiv (Cornell University) · 2015 · 106 citations · Full text

, , +14

A variational approach to the Yau–Tian–Donaldson conjecture

Robert J. Berman, Sébastien Boucksom, Mattias Jönsson · Journal of the American Mathematical Society · 2020 · 102 citations

, , +13

The Dirichlet problem for degenerate complex Monge–Ampere equations

D. H. Phong, Jacob Sturm · Communications in Analysis and Geometry · 2010 · 67 citations · Full text

, , +13

1–5 of 53

Authors

54

  1. RJ
    Robert J. Berman

    Chalmers University of Technology, Sweden

    7 publications · 473 citations

    7

    h-index

  2. DH
    D. H. Phong

    Columbia University, United States

    6 publications · 272 citations

    6

    h-index

  3. VG
    Vincent Guedj

    Université Toulouse III - Paul Sabatier, France

    5 publications · 123 citations

    5

    h-index

  4. JS
    Jacob Sturm

    Columbia University, United States

    5 publications · 243 citations

    5

    h-index

  5. TB
    Thomas Bloom

    University of Toronto, Canada

    5 publications · 186 citations

    5

    h-index

1–5 of 54

Institutions

64

  1. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    9 publications

    282 citations

  2. Chalmers University of Technology

    Gothenburg, Sweden

    5 h-index

    7 publications

    485 citations

  3. Université Toulouse III - Paul Sabatier

    Toulouse, France

    4 h-index

    7 publications

    184 citations

  4. Jagiellonian University

    Krakow, Poland

    4 h-index

    4 publications

    76 citations

  5. Columbia University

    New York, United States

    4 h-index

    4 publications

    166 citations

  6. Université Paris-Saclay

    Gif-sur-Yvette, France

    3 h-index

    3 publications

    65 citations

  7. University of Toronto

    Toronto, Canada

    3 h-index

    5 publications

    139 citations

  8. Université Fédérale de Toulouse Midi-Pyrénées

    Toulouse, France

    3 h-index

    6 publications

    140 citations

1–8 of 64

Venues

  1. arXiv (Cornell University)

    Repository · 7 publications · 249 citations

    7

    h-index

  2. Annales Polonici Mathematici

    5 publications · 84 citations

    5

    h-index

  3. ArXiv.org

    Repository · 4 publications · 126 citations

    4

    h-index

  4. Journal of the European Mathematical Society

    JEMS · 3 publications · 69 citations

    3

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 2 publications · 72 citations

    2

    h-index

1–5