Stochastic Processes and their Applications

Stochastic stability for vector fields with a manifold of singular points, and an application to lattice gauge theory.- Ricci curvature and dimension for diffusion semigroups.- The Zitterbewegung of a Dirac electron in a central field.- Maximum entropy principles for Markov processes.- An optimal Carleman-type inequality for the Dirac operator.- Toeplitz operators — an asymptotic quantization of symplectic cones.- Perturbation theory for random disordered systems.- On rigorous hydrodynamics, self-diffusion and the Green-Kubo formulae.- A stochastic model for plasma dynamics.- Macroscopic potentials of dissipative dynamical systems.- Random-path intersections in geometry, probability and physics.- Noncummutative version of the central limit theorem and of Cramér’s theorem.- Distributions, Sobolev spaces on Gaussian vector spaces and Ito’s calculus.- On problems in stochastic differential equations connected with some particular type of interacting particles.- Asymptotic behaviors of moments for one-dimensional generalized diffusion processes.- Langevin equation and fluctuation-dissipation theorem.- The Dirichlet problem for quasi-linear partial differential operators with boundary data given by a distribution.- Stationary stochastic perturbation of a linear delay equation.- Random lattice models.- Interactions galileennes aimant-charge.- The polaron functional integral.- The Bosonic string.