Dirichlet Forms

Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna, Italy, June 8–19, 1992

  • Authors
  • Eugene Fabes
  • Masatoshi Fukushima
  • Leonard Gross
  • Carlos Kenig
  • Michael Röckner
  • Daniel W. Stroock
  • Editors
  • Gianfausto Dell'Antonio
  • Umberto Mosco
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1563)

About this book

Introduction

The theory of Dirichlet forms has witnessed recently some very important developments both in theoretical foundations and in applications (stochasticprocesses, quantum field theory, composite materials,...). It was therefore felt timely to have on this subject a CIME school, in which leading experts in the field would present both the basic foundations of the theory and some of the recent applications. The six courses covered the basic theory and applications to: - Stochastic processes and potential theory (M. Fukushima and M. Roeckner) - Regularity problems for solutions to elliptic equations in general domains (E. Fabes and C. Kenig) - Hypercontractivity of semigroups, logarithmic Sobolev inequalities and relation to statistical mechanics (L. Gross and D. Stroock). The School had a constant and active participation of young researchers, both from Italy and abroad.

Keywords

Dirichlet form Gibbs state Stochastic processes logarithm stochastic process

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0074088
  • Copyright Information Springer-Verlag Berlin Heidelberg 1993
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-57421-7
  • Online ISBN 978-3-540-48151-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book