R. Iturriaga

activity

19992026

most citedConvergence of the solutions of the discounted equation

113 citations · 270 across the 11 of their papers we have counts for

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Showing 2017 · math.DSShow all

2 papers · 2 filters

math.DS2017

Selection of calibrated subaction when temperature goes to zero in the discounted problem

Renato Iturriaga, Artur O. Lopes, Jairo K. Mengue

Consider $T (x) = d x$ (mod 1) acting on $S^{1}$ , a Lipschitz potential $A : S^{1} \to R$ , $0 < λ < 1$ and the unique function $b_{λ} : S^{1} \to R$ satisfying $ b_λ(x) = \max_{…

math.DS2017

Exponential convergence of solutions for random Hamilton-Jacobi equations

Renato Iturriaga, Konstantin Khanin, Ke Zhang

We show that for a family of randomly kicked Hamiton-Jacobi equations on the torus, almost surely, the solution of an initial value problem converges exponentially fast to the uniq…