Stochastic Analysis and Related Topics

Preface. - Positive-homogeneous operators, heat kernel estimates and the Legendre-Fenchel transform. - Strong stability of heat Kernels of non-symmetric stable-like operators. - Multiplicative functional for the heat equation on manifolds with boundary. - Connections between the Dirichlet and the Neumann problem for continuous and integrable boundary data. - Decomposition and limit theorems for a class of self-similar Gaussian processes. - On a priori estimates for rough PDES. - Lévy systems and moment formulas for mixed Poisson integrals. - Conformal transforms and Doob' s h-processes on Heisenberg Groups. - On the Macroscopic Fractal Geometry of Some Random Sets. - Critical behavior of mean-field XY and related models.