World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
35
Citations
3959
World Ranking
2822
National Ranking
93

Overview

Alessio Porretta is affiliated with the University of Rome Tor Vergata in Italy. Their research work spans multiple areas within mathematics and economics, focusing strongly on applied mathematics, stochastic processes, and mathematical modeling.

The scientist's main fields of study include:

  • Mathematics
  • Economics, Econometrics and Finance

Within these fields, their subfields of investigation cover:

  • Finance
  • Applied Mathematics
  • Modeling and Simulation
  • Mathematical Physics
  • Economics and Econometrics

Key topics addressed in their work are:

  • Stochastic processes and financial applications
  • Mathematical Biology Tumor Growth
  • Stochastic processes and statistical mechanics
  • Nonlinear Partial Differential Equations
  • Geometric Analysis and Curvature Flows
  • Economic theories and models
  • Markov Chains and Monte Carlo Methods

Recent papers authored or coauthored by Alessio Porretta include:

  • "Splitting methods and short time existence for the master equations in mean field games," 2022, Journal of the European Mathematical Society
  • "Long time behavior and turnpike solutions in mildly non-monotone mean field games," 2021, ESAIM Control Optimisation and Calculus of Variations
  • "Regularizing effects of the entropy functional in optimal transport and planning problems," 2022, Journal of Functional Analysis
  • "Mean field games under invariance conditions for the state space," 2020, Cineca Institutional Research Information System (Tor Vergata University)
  • "A Note on the Sobolev and Gagliardo-Nirenberg Inequality when >," 2020, Advanced Nonlinear Studies

Their frequent coauthors include:

  • Pierre Cardaliaguet
  • Marco Cirant
  • Michele Ricciardi
  • Sebastian Muñoz
  • Luca Rossi

The scientist has contributed to notable publication venues, including:

  • arXiv (Cornell University)
  • Journal of the European Mathematical Society
  • ESAIM Control Optimisation and Calculus of Variations
  • Journal of Functional Analysis
  • Cineca Institutional Research Information System (Tor Vergata University)

Alessio Porretta is also an author of a book published by Springer Nature titled Mean Field Games (2020).

Best Publications

  • Existence results for nonlinear parabolic equations via strong convergence of truncations

    Alessio Porretta

  • Second order mean field games with degenerate diffusion and local coupling

    Pierre Cardaliaguet;P. Jameson Graber;Alessio Porretta;Daniela Tonon

  • Long time average of mean field games

    Pierre Cardaliaguet;Jean-Michel Lasry;Pierre-Louis Lions;Alessio Porretta

  • Weak Solutions to Fokker–Planck Equations and Mean Field Games

    Alessio Porretta

  • Long Time versus Steady State Optimal Control

    Alessio Porretta;Enrique Zuazua

  • Long Time Average of Mean Field Games with a Nonlocal Coupling

    Pierre Cardaliaguet;Jean-Michel Lasry;Pierre Louis Lions;Alessio Porretta

  • Stefan problems with nonlinear diffusion and convection

    D. Blanchard;D. Blanchard;A. Porretta

  • Parabolic Capacity and Soft Measures for Nonlinear Equations

    Jérôme Droniou;Alessio Porretta;Alain Prignet

  • Nonhomogeneous dirichlet problems for degenerate parabolic-hyperbolic equations

    Corrado Mascia;Alessio Porretta;Andrea Terracina

  • On the Planning Problem for the Mean Field Games System

    Alessio Porretta

  • Nonlinear elliptic equations having a gradient term with natural growth

    A. Porretta;S. Segura de León

  • Hölder estimates for degenerate elliptic equations with coercive Hamiltonians

    I. Capuzzo Dolcetta;Fabiana Leoni;Alessio Porretta

  • Nonlinear equations with natural growth terms and measure data

    Alessio Porretta

  • Entropy solutions for nonlinear elliptic equations in L 1

    Chiara Leone;Alessio Porretta

  • Diffuse measures and nonlinear parabolic equations

    Francesco Petitta;Augusto C. Ponce;Alessio Porretta

  • Convergence of a Finite Difference Scheme to Weak Solutions of the System of Partial Differential Equations Arising in Mean Field Games

    Yves Achdou;Alessio Porretta

  • Some elliptic problems with singular natural growth lower order terms

    David Arcoya;Lucio Boccardo;Tommaso Leonori;Alessio Porretta

  • Long time behavior of the master equation in mean field game theory

    Pierre Cardaliaguet;Alessio Porretta

  • Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms

    Nathalie Grenon;François Murat;Alessio Porretta

  • On the large time behavior of solutions of the Dirichlet problem for subquadratic viscous Hamilton–Jacobi equations

    Guy Barles;Alessio Porretta;Thierry Wilfried Tabet Tchamba;Thierry Wilfried Tabet Tchamba

  • A priori estimates and existence for elliptic equations with gradient dependent terms

    Nathalie Grenon;François Murat;Alessio Porretta

  • Mean Field Games: Cetraro, Italy 2019

    Yves Achdou;Pierre Cardaliaguet;François Delarue;Alessio Porretta

Frequent Co-Authors

Pierre Cardaliaguet
Pierre Cardaliaguet Paris Dauphine University
Laurent Veron
Laurent Veron François Rabelais University
Philippe Souplet
Philippe Souplet Paris 13 University
Lucio Boccardo
Lucio Boccardo Sapienza University of Rome
Enrique Zuazua
Enrique Zuazua University of Erlangen-Nuremberg
Guy Barles
Guy Barles François Rabelais University
François Murat
François Murat Sorbonne University
Giuseppe Savaré
Giuseppe Savaré Bocconi University
Pierre-Louis Lions
Pierre-Louis Lions Collège de France
Thierry Gallouët
Thierry Gallouët Aix-Marseille University

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