48 citations · 213 across the 18 of their papers we have counts for
22 papers
Markov Perfect Equilibria in Discrete Finite-Player and Mean-Field Games
Felix Höfer, H. Mete Soner, Atilla Yılmaz
We study dynamic finite-player and mean-field stochastic games within the framework of Markov perfect equilibria (MPE). Our focus is on discrete time and space structures without m…
Homogenization of nonconvex viscous Hamilton-Jacobi equations in stationary ergodic media in one dimension
Elena Kosygina, Atilla Yilmaz
We establish homogenization for nondegenerate viscous Hamilton-Jacobi equations in one space dimension when the diffusion coefficient and the Hamiltonian ar…
Loss of quasiconvexity in the periodic homogenization of viscous Hamilton-Jacobi equations
Elena Kosygina, Atilla Yilmaz
We show that, in the periodic homogenization of uniformly elliptic Hamilton-Jacobi equations in any dimension, the effective Hamiltonian does not necessarily inherit the quasiconve…
Stochastic homogenization of nonconvex viscous Hamilton-Jacobi equations in one space dimension
Andrea Davini, Elena Kosygina, Atilla Yilmaz
We prove homogenization for viscous Hamilton-Jacobi equations with a Hamiltonian of the form for a wide class of stationary ergodic random media in one space dimensio…
Stochastic homogenization of a class of quasiconvex viscous Hamilton-Jacobi equations in one space dimension
Atilla Yilmaz
We prove homogenization for a class of viscous Hamilton-Jacobi equations in the stationary and ergodic setting in one space dimension. Our assumptions include most notably the foll…
Restricted configuration path integral Monte Carlo
A. Yilmaz, K. Hunger, T. Dornheim +2
Quantum Monte Carlo belongs to the most accurate simulation techniques for quantum many-particle systems. However, for fermions, these simulations are hampered by the sign problem…