Abstract. In this paper we look for PDEs that arise as limits of values of Tug-of-War games when the possible movements of the game are taken in a family of sets that are not necessarily euclidean balls. In this way we find existence of viscosity solutions to the Dirichlet problem for an equation of the form −〈D2v · Jx(Dv); Jx(Dv)〉(x) = 0, that is, an infinity Laplacian with spatial dependence. Here Jx(Dv(x)) is a vector that depends on the the spatial location and the gradient of the solution. 1
We study viscosity solutions of the partial differential equation $$- \Delta_\infty u = f \quad \mbo...
In this paper, we are interested in the connection between some stochastic games, namely the Tug-of-...
Abstract. Aim of this paper is to prove necessary and sufficient conditions on the geometry of a dom...
In this paper we look for PDEs that arise as limits of values of Tug-of-War games when the possible...
Abstract. In this paper we prove that a function u ∈ C(Ω) is the continuous value of the Tug-of-War ...
Abstract. In this paper we show how to use a Tug-of-War game to obtain existence of a viscosity solu...
In this paper we use probabilistic arguments (Tug-of-War games) to obtain existence of viscosity sol...
Abstract. In this paper we use probabilistic arguments (Tug-of-War games) to obtain existence of vis...
In this work we introduce and analyze a new random Tug-of-War game in which one of the players has t...
International audienceThe aim of this note is to revisit the connections between some stochastic gam...
Abstract. Motivated by the “tug-of-war ” game studied in [12], we consider a “non-local” version of ...
We introduce a new class of strongly degenerate nonlinear parabolic PDEs ((p - 2)Delta(N)(infinity,X...
We study a version of the stochastic “tug-of-war” game, played on graphs and smooth domains, with th...
In this paper we find viscosity solutions to a coupled system composed by two equations, the first o...
We review some recent results related to the homogeneous Dirichlet problem for the infinity Laplace ...
We study viscosity solutions of the partial differential equation $$- \Delta_\infty u = f \quad \mbo...
In this paper, we are interested in the connection between some stochastic games, namely the Tug-of-...
Abstract. Aim of this paper is to prove necessary and sufficient conditions on the geometry of a dom...
In this paper we look for PDEs that arise as limits of values of Tug-of-War games when the possible...
Abstract. In this paper we prove that a function u ∈ C(Ω) is the continuous value of the Tug-of-War ...
Abstract. In this paper we show how to use a Tug-of-War game to obtain existence of a viscosity solu...
In this paper we use probabilistic arguments (Tug-of-War games) to obtain existence of viscosity sol...
Abstract. In this paper we use probabilistic arguments (Tug-of-War games) to obtain existence of vis...
In this work we introduce and analyze a new random Tug-of-War game in which one of the players has t...
International audienceThe aim of this note is to revisit the connections between some stochastic gam...
Abstract. Motivated by the “tug-of-war ” game studied in [12], we consider a “non-local” version of ...
We introduce a new class of strongly degenerate nonlinear parabolic PDEs ((p - 2)Delta(N)(infinity,X...
We study a version of the stochastic “tug-of-war” game, played on graphs and smooth domains, with th...
In this paper we find viscosity solutions to a coupled system composed by two equations, the first o...
We review some recent results related to the homogeneous Dirichlet problem for the infinity Laplace ...
We study viscosity solutions of the partial differential equation $$- \Delta_\infty u = f \quad \mbo...
In this paper, we are interested in the connection between some stochastic games, namely the Tug-of-...
Abstract. Aim of this paper is to prove necessary and sufficient conditions on the geometry of a dom...