Alessio Porretta

Finance · 2000–2020

A researcher in the Science corpus: 22 papers; trusts 40 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

Finance — 81 citations into it; #9,429 of 10,518 by trust here, #4,858 by citations
Applied Mathematics — 63 citations into it; #1,918 of 7,620 by trust here, #924 by citations
Economics and Econometrics — 48 citations into it; #21,075 of 23,481 by trust here, #16,151 by citations
Mathematical Physics — 42 citations into it; #2,410 of 8,562 by trust here, #1,475 by citations
Computational Theory and Mathematics — 33 citations into it; #3,510 of 12,182 by trust here, #2,489 by citations
Control and Systems Engineering — 19 citations into it
Modeling and Simulation — 19 citations into it; #2,079 of 2,105 by trust here, #1,057 by citations
Statistical and Nonlinear Physics — 15 citations into it

Whom Alessio Porretta trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

Who trusts Alessio Porretta overall

Papers from Alessio Porretta's perspective

Ordered by how strongly the researchers Alessio Porretta trusts endorse each paper. Same corpus, a different order for every researcher.

Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
A reference case for mean field games models
Topics in Optimal Transportation
Mass transportation problems
Large-Population LQG Games Involving a Major Player: The Nash Certainty Equivalence Principle (SIAM Journal of Control and Optimization)
Controlled Markov processes and viscosity solutions
Optimal Transport: Old and New
Probabilistic Analysis of Mean-Field Games (SIAM Journal of Control and Optimization)
Mean field games
Gradient Flows: In Metric Spaces and in the Space of Probability Measures

Their papers

Nonlinear elliptic equations having a gradient term with natural growth (2006) — 93 citations
Hölder estimates for degenerate elliptic equations with coercive Hamiltonians (2010) — 93 citations
Mean Field Games (2020) — 215 citations
Some elliptic problems with singular natural growth lower order terms (2010) — 74 citations
Nonhomogeneous Dirichlet Problems for Degenerate Parabolic-Hyperbolic Equations (2002) — 115 citations
Diffuse measures and nonlinear parabolic equations (2011) — 90 citations
Parabolic Capacity and Soft Measures for Nonlinear Equations (2003) — 133 citations
Splitting methods and short time existence for the master equations in mean field games (2020) — 52 citations
An Introduction to Mean Field Game Theory (2020) — 81 citations
Mean field games with congestion (2017) — 48 citations
Remarks on Long Time Versus Steady State Optimal Control (2016) — 50 citations
Weak Solutions to Fokker–Planck Equations and Mean Field Games (2015) — 167 citations
Second order mean field games with degenerate diffusion and local coupling (2014) — 184 citations
A priori estimates and existence for elliptic equations with gradient dependent terms (2014) — 53 citations
On the large time behavior of solutions of the Dirichlet problem for subquadratic viscous Hamilton–Jacobi equations (2009) — 47 citations
Uniqueness for unbounded solutions to stationary viscous Hamilton-Jacobi equations (2006) — 65 citations
Partial Differential Equations Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms (2006) — 55 citations
Stefan problems with nonlinear diffusion and convection (2005) — 118 citations
Some noncoercive parabolic equations with lower order terms in divergence form (2003) — 53 citations
Nonlinear equations with natural growth terms and measure data (2002) — 71 citations