AMS/IP Studies in Advanced Mathematics
Volume: 8; 1998; 277 pp; Hardcover
MSC: Primary 31; Secondary 35; 58; 47; 60
Print ISBN: 978-0-8218-1061-3
Product Code: AMSIP/8
List Price: $63.00
Individual Member Price: $50.40
New Directions in Dirichlet FormsShare this page
Jürgen Jost; Wilfrid Kendall; Umberto Mosco; Michael Röckner; Karl-Theodor Sturm
A co-publication of the AMS and International Press of Boston, Inc.
The theory of Dirichlet forms brings together methods and
insights from the calculus of variations, stochastic analysis, partial
differential and difference equations, potential theory, Riemannian geometry and
more. This book features contributions by leading experts and provides
up-to-date, authoritative accounts on exciting developments in the
field and on new research perspectives. Topics covered include the
following: stochastic analysis on configuration spaces, specifically a
mathematically rigorous approach to the stochastic dynamics of Gibbs
measures and infinite interacting particle systems; subelliptic PDE,
homogenization, and fractals; geometric aspects of Dirichlet forms on
metric spaces and function theory on such spaces; generalized harmonic
maps as nonlinear analogues of Dirichlet forms, with an emphasis on
non-locally compact situations; and a stochastic approach based on
Brownian motion to harmonic maps and their regularity.
Various new connections between the topics are featured, and it is demonstrated that the theory of Dirichlet forms provides the proper framework for exploring these connections.
Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.
Table of Contents
Table of Contents
New Directions in Dirichlet Forms
Graduate students and researchers working in PDEs, calculus of variations, stochastic analysis, potential theory, Riemannian and metric geometry, fractals and homogenization.