Overview

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.

Full Product Details

Author:   Fabrice Baudoin ,  Jonathon Peterson
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   Softcover reprint of the original 1st ed. 2017
Volume:   72
Weight:   3.577kg
ISBN:  

9783319866765

ISBN 10:   3319866761
Pages:   221
Publication Date:   17 May 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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.

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