Associate Professor, Durham University

Email: alpar.r.meszaros AT durham.ac.uk

Home-page: http://www.maths.dur.ac.uk/~gqmx43/

arxiv id: Meszaros_A

Available papers (27):

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• M. Bansil - A. R. Mészáros (Preprint)
  On classical solutions and canonical transformations for Hamilton--Jacobi--Bellman equations (2024)
• M. Bansil - A. R. Mészáros (Preprint)
  Hidden monotonicity and canonical transformations for mean field games and master equations (2024)
• D. M. Ambrose - M. Griffin-Pickering - A. R. Mészáros (Preprint)
  Kinetic-type Mean Field Games with Non-separable Local Hamiltonians (2024)
• P. J. Graber - A. R. Mészáros (Accepted Paper: Math. Ann.)
  On Some Mean Field Games and Master Equations through the lens of conservation laws (2024)
• H. Liao - A. R. Mészáros - C. Mou - C. Zhou (Submitted Paper)
  Convergence analysis of controlled particle systems arising in deep learning: from finite to infinite sample size (2024)
• N. David - A. R. Mészáros - F. Santambrogio (Preprint)
  Improved convergence rates for the Hele-Shaw limit in the presence of confining potentials (2024)
• D. M. Ambrose - A. R. Mészáros (Trans. Amer. Math. Soc.)
  Well-posedness of mean field games master equations involving non-separable local Hamiltonians (2023)
• P. J. Graber - A. R. Mészáros (J. Funct. Anal.)
  On monotonicity conditions for Mean Field Games (2023)
• A. R. Mészáros - C. Mou (Accepted Paper: SIAM J. Math. Anal.)
  Mean Field Games systems under displacement monotonicity (2023)
• M. Bansil - A. R. Mészáros - C. Mou (Preprint)
  Global Well-Posedness of Displacement Monotone Degenerate Mean Field Games Master Equations (2023)
• W. Gangbo - A. R. Mészáros - C. Mou - J. Zhang (Accepted Paper: Ann. Probab.)
  Mean Field Games Master Equations with Non-separable Hamiltonians and Displacement Monotonicity (2022)
• M. Griffin-Pickering - A. R. Mészáros (Accepted Paper: Comm. Partial Differential Equations)
  A variational approach to first order kinetic mean field games with local couplings (2022)
• W. Gangbo - A. R. Mészáros (Accepted Paper: Comm. Pure Appl. Math.)
  Global well-posedness of Master equations for deterministic displacement convex potential mean field games (2021)
• D. Kwon - A. R. Mészáros (Accepted Paper: J. Lond. Math. Soc.)
  Degenerate nonlinear parabolic equations with discontinuous diffusion coefficients (2021)
• M. Jacobs - I. Kim - A. R. Mészáros (Arch. Ration. Mech. Anal.)
  Weak solutions to the Muskat problem with surface tension via optimal transport (2021)
• A. Adve - A. R. Mészáros (Submitted Paper)
  On nonexpansiveness of metric projection operators on Wasserstein spaces (2020)
• P. J. Graber - A. R. Mészáros - F. Silva - D. Tonon (Accepted Paper: Calc. Var. Partial Differential Equations)
  The planning problem in Mean Field Games as regularized mass transport (2019)
• I. Kim - A. R. Mészáros (Accepted Paper: Calc. Var. Partial Differential Equations)
  On nonlinear cross-diffusion systems: an optimal transport approach (2018)
• A. R. Mészáros - F. J. Silva (Accepted Paper: SIAM J. Math. Anal.)
  On the variational formulation of some stationary second order mean field games systems (2017)
• P. J. Graber - A. R. Mészáros (Accepted Paper: Ann. Inst. H. Poincaré Anal. Non Linéaire)
  Sobolev regularity for first order Mean Field Games (2017)
• A. R. Mészáros - F. Santambrogio (Accepted Paper: Analysis and PDEs)
  Advection-diffusion equations with density constraints (2016)
• P. Cardaliaguet - A. R. Mészáros - F. Santambrogio (Accepted Paper: SIAM J. Contr. Opt.)
  First order Mean Field Games with density constraints: Pressure equals Price (2016)
• S. Di Marino - A. R. Mészáros (Accepted Paper: Math. Models Methods Appl. Sci.)
  Uniqueness issues for evolution equations with density constraints (2016)
• A. R. Mészáros - F. J. Silva (Accepted Paper: J. Math. Pures Appl.)
  A variational approach to second order mean field games with density constraints: the stationary case (2015)
• A. R. Mészáros (Phd Thesis)
  Density constraints in Optimal Transport, PDEs and Mean Field Games (2015)
• G. De Philippis - A. R. Mészáros - F. Santambrogio - B. Velichkov (Arch. Rat. Mech. Anal.)
  BV Estimates in Optimal Transportation and Applications (2015)
• A. R. Mészáros (M2 Mémoire/MSc thesis)
  Mean Field Games with density constraints (2012)

Speaker:

• 24 jun 2019 - 28 jun 2019: People in Optimal Transportation and Applications

Organizer:

• 17 jul 2023 - 21 jul 2023: LMS Invited Lecture Series @ Durham (given by F. Santambrogio)