Dirichlet Forms and Symmetric Markov Processes / / Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda.
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 a...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2010] ©2010 |
Year of Publication: | 2010 |
Edition: | 2nd rev. and ext. ed. |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
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Fukushima, Masatoshi, author. aut http://id.loc.gov/vocabulary/relators/aut Dirichlet Forms and Symmetric Markov Processes / Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda. 2nd rev. and ext. ed. Berlin ; Boston : De Gruyter, [2010] ©2010 1 online resource (489 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematics , 0179-0986 ; 19 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Espionage, Soviet. Military intelligence Soviet Union. Dirichletsche Form. Halbgruppe. Markoffscher Prozess. Stochastischer Prozess. Wahrscheinlichkeitstheorie. MATHEMATICS / Probability & Statistics / General. bisacsh Dirichlet Forms. Markov Processes. Probability Theory. Semigroups. Stochastic Processes. Oshima, Yoichi, author. aut http://id.loc.gov/vocabulary/relators/aut Takeda, Masayoshi, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2010 9783110233544 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2010 9783110233551 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2010 9783110233636 ZDB-23-DMN print 9783110218084 https://doi.org/10.1515/9783110218091 https://www.degruyter.com/isbn/9783110218091 Cover https://www.degruyter.com/document/cover/isbn/9783110218091/original |
language |
English |
format |
eBook |
author |
Fukushima, Masatoshi, Fukushima, Masatoshi, Oshima, Yoichi, Takeda, Masayoshi, |
spellingShingle |
Fukushima, Masatoshi, Fukushima, Masatoshi, Oshima, Yoichi, Takeda, Masayoshi, Dirichlet Forms and Symmetric Markov Processes / De Gruyter Studies in Mathematics , 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 |
author_facet |
Fukushima, Masatoshi, Fukushima, Masatoshi, Oshima, Yoichi, Takeda, Masayoshi, Oshima, Yoichi, Oshima, Yoichi, Takeda, Masayoshi, Takeda, Masayoshi, |
author_variant |
m f mf m f mf y o yo m t mt |
author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author2 |
Oshima, Yoichi, Oshima, Yoichi, Takeda, Masayoshi, Takeda, Masayoshi, |
author2_variant |
y o yo m t mt |
author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author_sort |
Fukushima, Masatoshi, |
title |
Dirichlet Forms and Symmetric Markov Processes / |
title_full |
Dirichlet Forms and Symmetric Markov Processes / Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda. |
title_fullStr |
Dirichlet Forms and Symmetric Markov Processes / Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda. |
title_full_unstemmed |
Dirichlet Forms and Symmetric Markov Processes / Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda. |
title_auth |
Dirichlet Forms and Symmetric Markov Processes / |
title_alt |
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 |
title_new |
Dirichlet Forms and Symmetric Markov Processes / |
title_sort |
dirichlet forms and symmetric markov processes / |
series |
De Gruyter Studies in Mathematics , |
series2 |
De Gruyter Studies in Mathematics , |
publisher |
De Gruyter, |
publishDate |
2010 |
physical |
1 online resource (489 p.) Issued also in print. |
edition |
2nd rev. and ext. ed. |
contents |
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 |
isbn |
9783110218091 9783110494938 9783110238570 9783110238471 9783110637205 9783110233544 9783110233551 9783110233636 9783110218084 |
issn |
0179-0986 ; |
geographic_facet |
Soviet Union. |
url |
https://doi.org/10.1515/9783110218091 https://www.degruyter.com/isbn/9783110218091 https://www.degruyter.com/document/cover/isbn/9783110218091/original |
illustrated |
Not Illustrated |
dewey-hundreds |
300 - Social sciences |
dewey-tens |
350 - Public administration & military science |
dewey-ones |
355 - Military science |
dewey-full |
355.3433 |
dewey-sort |
3355.3433 |
dewey-raw |
355.3433 |
dewey-search |
355.3433 |
doi_str_mv |
10.1515/9783110218091 |
oclc_num |
732957448 |
work_keys_str_mv |
AT fukushimamasatoshi dirichletformsandsymmetricmarkovprocesses AT oshimayoichi dirichletformsandsymmetricmarkovprocesses AT takedamasayoshi dirichletformsandsymmetricmarkovprocesses |
status_str |
n |
ids_txt_mv |
(DE-B1597)36532 (OCoLC)732957448 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2010 Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2010 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2010 |
is_hierarchy_title |
Dirichlet Forms and Symmetric Markov Processes / |
container_title |
Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package |
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