Stochastic nonlinear wave dynamics on compact surfaces

Nonlinear stochastic wave equations

In this paper we study the Cauchy problem for the semilinear stochastic wave equation (@ 2

On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact riemannian manifold

We prove the existence and the uniqueness of a solution to the stochastic NSLEs on a two-dimensional compact riemannian manifold. Thus we generalize (and improve) a recent work by Burq et all [11] and a series of papers by de Bouard and Debussche, see e.g. [16, 17] who have examined similar questions in the case of the at euclidean space. We prove the existence and the uniqueness of a local max...

Dynamics of Nonlinear Stochastic Systems

Notes on Compact Riemann Surfaces

Sprouts Game on Compact Surfaces

Sprouts is a two-player topological game, invented in 1967 by Michael Paterson and John Conway. The game starts with p spots drawn on a sheet of paper, and lasts at most 3p − 1 moves : the player who makes the last move wins. Sprouts is a very intricate game and the best known manual analysis only achieved to find a winning strategy up to p = 7 spots. Recent computer analysis reached up to p = ...