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Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Wilfrid Gangbo is affiliated with the University of California, Los Angeles in the United States. Their research primarily focuses on the field of Mathematics, with significant contributions in subfields such as Applied Mathematics, Mathematical Physics, Finance, Statistics and Probability, and Geometry and Topology.

Their work covers a variety of advanced topics including:

  • Geometric Analysis and Curvature Flows
  • Stochastic processes and financial applications
  • Advanced Mathematical Physics Problems
  • Nonlinear Partial Differential Equations
  • Random Matrices and Applications
  • Advanced Operator Algebra Research
  • Navier-Stokes equation solutions

Gangbo has published extensively in several prominent venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • The Annals of Probability
  • Communications on Pure and Applied Mathematics
  • SIAM Journal on Mathematical Analysis
  • Communications in Mathematical Physics

Recent papers listed showcase research contributions with the following titles, publication years, and venues:

  • Mean field games master equations with nonseparable Hamiltonians and displacement monotonicity, 2022, The Annals of Probability
  • Global Well-Posedness of Master Equations for Deterministic Displacement Convex Potential Mean Field Games, 2022, Communications on Pure and Applied Mathematics
  • Finite Dimensional Approximations of Hamilton--Jacobi--Bellman Equations in Spaces of Probability Measures, 2021, SIAM Journal on Mathematical Analysis
  • Mean Field Games Master Equations with Non-separable Hamiltonians and Displacement Monotonicity, 2021, arXiv (Cornell University)
  • Duality for Optimal Couplings in Free Probability, 2022, Communications in Mathematical Physics

Gangbo's frequent collaborators include:

  • Alpár R. Mészáros
  • Chenchen Mou
  • David Jekel
  • Kyeongsik Nam
  • Jianfeng Zhang

In recognition of their contributions to mathematics, Wilfrid Gangbo was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • The geometry of optimal transportation

    Wilfrid Gangbo;Robert J. McCann;Robert J. McCann

  • Differential equations methods for the Monge-Kantorovich mass transfer problem

    Lawrence C. Evans;Wilfrid Gangbo

  • Degree Theory in Analysis and Applications

    Irene Fonseca;Wilfrid Gangbo

  • Optimal maps for the multidimensional Monge-Kantorovich problem

    Wilfrid Gangbo;Andrzej wi ch

  • Hamiltonian ODEs in the Wasserstein space of probability measures

    Luigi Ambrosio;Wilfrid Gangbo

  • An elementary proof of the polar factorization of vector-valued functions

    Wilfrid Gangbo

  • Optimal maps in Monge's mass transport problem

    W. Gangbo;R. J. Mccann

  • Existence of a solution to an equation arising from the theory of Mean Field Games

    Wilfrid Gangbo;Andrzej Święch

  • Hamilton-Jacobi equations in the Wasserstein space

    Wilfrid Gangbo;Truyen Nguyen;Adrian Tudorascu

  • Shape recognition via Wasserstein distance

    Wilfrid Gangbo;Robert J. McCann

  • A Variational Approach for the 2-Dimensional Semi-Geostrophic Shallow Water Equations

    Mike Cullen;Wilfrid Gangbo

  • Constrained steepest descent in the 2-Wasserstein metric

    Eric Carlen;Wilfrid Gangbo

  • A Parallel Method for Earth Mover’s Distance

    Wuchen Li;Ernest K. Ryu;Stanley J. Osher;Wotao Yin

  • On differentiability in the Wasserstein space and well-posedness for Hamilton–Jacobi equations

    Wilfrid Gangbo;Adrian Tudorascu

  • Local invertibility of Sobolev functions

    I. Fonseca;W. Gangbo

  • Sur une généralisation de l’inégalité de Wirtinger

    Bernard Dacorogna;Wilfrid Gangbo;N. Subía

  • Diffeomorphisms and Nonlinear Heat Flows

    L. C. Evans;O. Savin;Wilfrid Gangbo

  • MICHELL TRUSSES AND LINES OF PRINCIPAL ACTION

    Guy Bouchitté;Wilfrid Gangbo;Pierre Seppecher

  • Sticky particle dynamics with interactions

    Yann Brenier;Wilfrid Gangbo;Giuseppe Savaré;María G. Westdickenberg

  • Euler–Poisson Systems as Action-Minimizing Paths in the Wasserstein Space

    W. Gangbo;T. Nguyen;A. Tudorascu

Frequent Co-Authors

Robert J. McCann
Robert J. McCann University of Toronto
Yann Brenier
Yann Brenier École Normale Supérieure
Stanley Osher
Stanley Osher University of California, Los Angeles
Lawrence C. Evans
Lawrence C. Evans University of California, Berkeley
Eric A. Carlen
Eric A. Carlen Rutgers, The State University of New Jersey
Irene Fonseca
Irene Fonseca Carnegie Mellon University
Tryphon T. Georgiou
Tryphon T. Georgiou University of California, Irvine
Peter A. Markowich
Peter A. Markowich King Abdullah University of Science and Technology
Allen Tannenbaum
Allen Tannenbaum Stony Brook University
Giuseppe Savaré
Giuseppe Savaré Bocconi University

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