UID:
almahu_9949462254102882
Format:
1 online resource (489 p.)
Edition:
2nd rev. and ext. ed.
ISBN:
9783110218091
,
9783110494938
Series Statement:
De Gruyter Studies in Mathematics , 19
Content:
This book contains an introductory and comprehensive account of the theory of (symmetric) Dirichlet forms. Moreover this analytic theory is unified with the probabilistic potential theory based on symmetric Markov processes and developed further in conjunction with the stochastic analysis based on additive functional. Since the publication of the first edition in 1994, this book has attracted constant interests from readers and is by now regarded as a standard reference for the theory of Dirichlet forms. For the present second edition, the authors not only revised the existing text, but also added sections on capacities and Sobolev type inequalities, irreducible recurrence and ergodicity, recurrence and Poincaré type inequalities, the Donsker-Varadhan type large deviation principle, as well as several new exercises with solutions. The book addresses to researchers and graduate students who wish to comprehend the area of Dirichlet forms and symmetric Markov processes.
Note:
Frontmatter --
,
Preface to the first and second edition --
,
Preface to the second edition --
,
Contents --
,
Notation --
,
Part I: Dirichlet Forms --
,
Chapter 1: Basic theory of Dirichlet forms --
,
Chapter 2: Potential theory for Dirichlet forms --
,
Chapter 3: The scope of Dirichlet forms --
,
Part II: Symmetric Markov processes --
,
Chapter 4: Analysis by symmetric Hunt processes --
,
Chapter 5: Stochastic analysis by additive functionals --
,
Chapter 6: Transformations of forms and processes --
,
Chapter 7: Construction of symmetric Markov processes --
,
Appendix --
,
Notes --
,
Bibliography --
,
Index
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Mathematics eBook-Package, De Gruyter, 9783110494938
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2010, De Gruyter, 9783110233544
In:
E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2010, De Gruyter, 9783110233551
In:
E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2010, De Gruyter, 9783110233636
Additional Edition:
ISBN 9783110218084
Language:
English
Subjects:
History
DOI:
10.1515/9783110218091
URL:
https://doi.org/10.1515/9783110218091
URL:
https://www.degruyter.com/isbn/9783110218091
