113 citations · 270 across the 11 of their papers we have counts for
15 papers
Weak KAM theorems for subriemannian Lagrangians depending on the unknown function
Renato Iturriaga, Héctor Sánchez Morgado
We extend some results of weak KAM theory to Lagrangians that are defined only on the horizontal distribution of a subriemannian manifold and depend on the unknown function.
A natural decomposition of the Jacobi equation for some classes of -body problems
Renato Iturriaga, Ezequiel Maderna
We consider several -body problems. The main result is a very simple and natural criterion for decoupling the Jacobi equation for some classes of them. If is a Euclidean spa…
Discretization and Vanishing Discount Problems for First-order Mean Field Games
Renato Iturriaga, Cristian Mendico, Kaizhi Wang +1
This article focuses two issues related to the first-order discounted mean field games system. The first is the time discretization problem. The time discretization approach enable…
A semi-discrete approximation for first-order stationary mean field games
Renato Iturriaga, Kaizhi Wang
We provide an approximation scheme for first-order stationary mean field games with a separable Hamiltonian. First, we discretize Hamilton-Jacobi equations by discretizing in time,…
Discrete approximation of the viscous HJ equation
Andrea Davini, Hitoshi Ishii, Renato Iturriaga +1
We consider a stochastic discretization of the stationary viscous Hamilton Jacobi equation on the flat d dimensional torus, associated with a Hamiltonian, convex and superlinear in…
Selection of calibrated subaction when temperature goes to zero in the discounted problem
Renato Iturriaga, Artur O. Lopes, Jairo K. Mengue
Consider (mod 1) acting on , a Lipschitz potential , and the unique function satisfying $ b_λ(x) = \max_{…