Stochastic Analysis and Related Topics

A Festschrift in Honor of Rodrigo Bañuelos
1. Auflage 2017
ISBN: 978-3-319-59670-9
Verlag: Springer International Publishing

Buch, Englisch, Band 72, 221 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 4734 g

Reihe: Progress in Probability

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 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.

Zielgruppe

Research

Autoren/Hrsg.

Peterson, Jonathon

Baudoin, Fabrice

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Geisteswissenschaften Geschichtswissenschaft Geschichtliche Themen Wissenschafts- und Universitätsgeschichte
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.