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.