Stochastic methods and differential geometry
Stochastic Navier-Stokes equations with artificial compressibility in random durations.
Stochastic nonlinear Schrödinger equations driven by a fractional noise, well-posedness, large deviations and support.
Stochastic Swift-Hohenberg equation near a change of stability
Stochastic weak attractor for a dissipative Euler equation.
Supersymmetry, Witten complex and asymptotics for directional Lyapunov exponents in
By using a supersymmetric gaussian representation, we transform the averaged Green's function for random walks in random potentials into a 2-point correlation function of a corresponding lattice field theory. We study the resulting lattice field theory using the Witten laplacian formulation. We obtain the asymptotics for the directional Lyapunov exponents.