Stochastic Analysis and Related Topics: A Festschrift in Honor of Rodrigo Bañuelos (Progress in Probability, 72)

The articles in this collection are a sampling of some of the research presented during the conference “Stochastic Analysis and Related Topics”, held in May of 2015 at Purdue University in honor of the 60 th birthday of Rodrigo Bañuelos. A wide variety of topics in probability theory is covered in these proceedings, including heat kernel estimates, Malliavin calculus, rough paths differential equations, Lévy processes, Brownian motion on manifolds, and spin glasses, among other topics. Front Matter ....Pages i-vii Positive-Homogeneous Operators, Heat Kernel Estimates and the Legendre-Fenchel Transform (Evan Randles, Laurent Saloff-Coste)....Pages 1-55 Strong Stability of Heat Kernels of Non-symmetric Stable-Like Operators (Zhen-Qing Chen, Xicheng Zhang)....Pages 57-65 Multiplicative Functional for the Heat Equation on Manifolds with Boundary (Cheng Ouyang)....Pages 67-83 Connections Between the Dirichlet and the Neumann Problem for Continuous and Integrable Boundary Data (Lucian Beznea, Mihai N. Pascu, Nicolae R. Pascu)....Pages 85-97 Decomposition and Limit Theorems for a Class of Self-Similar Gaussian Processes (Daniel Harnett, David Nualart)....Pages 99-116 On A Priori Estimates for Rough PDEs (Qi Feng, Samy Tindel)....Pages 117-138 Lévy Systems and Moment Formulas for Mixed Poisson Integrals (Krzysztof Bogdan, Jan Rosiński, Grzegorz Serafin, Łukasz Wojciechowski)....Pages 139-164 Conformal Transforms and Doob’s h-Processes on Heisenberg Groups (Jing Wang)....Pages 165-177 On the Macroscopic Fractal Geometry of Some Random Sets (Davar Khoshnevisan, Yimin Xiao)....Pages 179-206 Critical Behavior of Mean-Field XY and Related Models (Kay Kirkpatrick, Tayyab Nawaz)....Pages 207-221 The articles in this collection are a sampling of some of the research presented during the conference "Stochastic Analysis and Related Topics", held in May of 2015 at Purdue University in honor of the 60th birthday of Rodrigo Bañuelos. A wide variety of topics in probability theory is covered in these proceedings, including heat kernel estimates, Malliavin calculus, rough paths differential equations, Lévy processes, Brownian motion on manifolds, and spin glasses, among other topics.-- Provided by publisher Fabrice Baudoin, Jonathan Peterson, Editors. Includes Bibliographical References.