Analysis and geometry of Markov diffusion operators:
Gespeichert in:
Hauptverfasser: | , , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cham
Springer
2014
|
Schriftenreihe: | Grundlehren der mathematischen Wissenschaften
348 |
Schlagworte: | |
Online-Zugang: | DE-634 DE-861 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource (XX, 552 S.) graph. Darst. |
ISBN: | 9783319002262 9783319002279 |
DOI: | 10.1007/978-3-319-00227-9 |
Internformat
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Datensatz im Suchindex
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adam_text |
ANALYSIS AND GEOMETRY OF MARKOV DIFFUSION OPERATORS
/ BAKRY, DOMINIQUE
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
PART I MARKOV SEMIGROUPS, BASICS AND EXAMPLES: 1.MARKOV SEMIGROUPS
2.MODEL EXAMPLES
3.GENERAL SETTING
PART II THREE MODEL FUNCTIONAL INEQUALITIES: 4.POINCARE INEQUALITIES
5.LOGARITHMIC SOBOLEV INEQUALITIES
6.SOBOLEV INEQUALITIES
PART III RELATED FUNCTIONAL, ISOPERIMETRIC AND TRANSPORTATION
INEQUALITIES: 7.GENERALIZED FUNCTIONAL INEQUALITIES
8.CAPACITY AND ISOPERIMETRY-TYPE INEQUALITIES
9.OPTIMAL TRANSPORTATION AND FUNCTIONAL INEQUALITIES
PART IV APPENDICES: A.SEMIGROUPS OF BOUNDED OPERATORS ON A BANACH SPACE
B.ELEMENTS OF STOCHASTIC CALCULUS
C.SOME BASIC NOTIONS IN DIFFERENTIAL AND RIEMANNIAN GEOMETRY
NOTATIONS AND LIST OF SYMBOLS
BIBLIOGRAPHY
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ANALYSIS AND GEOMETRY OF MARKOV DIFFUSION OPERATORS
/ BAKRY, DOMINIQUE
: 2014
ABSTRACT / INHALTSTEXT
THE PRESENT VOLUME IS AN EXTENSIVE MONOGRAPH ON THE ANALYTIC AND
GEOMETRIC ASPECTS OF MARKOV DIFFUSION OPERATORS. IT FOCUSES ON THE
GEOMETRIC CURVATURE PROPERTIES OF THE UNDERLYING STRUCTURE IN ORDER TO
STUDY CONVERGENCE TO EQUILIBRIUM, SPECTRAL BOUNDS, FUNCTIONAL
INEQUALITIES SUCH AS POINCARE, SOBOLEV OR LOGARITHMIC SOBOLEV
INEQUALITIES, AND VARIOUS BOUNDS ON SOLUTIONS OF EVOLUTION EQUATIONS. AT
THE SAME TIME, IT COVERS A LARGE CLASS OF EVOLUTION AND PARTIAL
DIFFERENTIAL EQUATIONS. THE BOOK IS INTENDED TO SERVE AS AN INTRODUCTION
TO THE SUBJECT AND TO BE ACCESSIBLE FOR BEGINNING AND ADVANCED
SCIENTISTS AND NON-SPECIALISTS. SIMULTANEOUSLY, IT COVERS A WIDE RANGE
OF RESULTS AND TECHNIQUES FROM THE EARLY DEVELOPMENTS IN THE
MID-EIGHTIES TO THE LATEST ACHIEVEMENTS. AS SUCH, STUDENTS AND
RESEARCHERS INTERESTED IN THE MODERN ASPECTS OF MARKOV DIFFUSION
OPERATORS AND SEMIGROUPS AND THEIR CONNECTIONS TO ANALYTIC FUNCTIONAL
INEQUALITIES, PROBABILISTIC CONVERGENCE TO EQUILIBRIUM AND GEOMETRIC
CURVATURE WILL FIND IT ESPECIALLY USEFUL. SELECTED CHAPTERS CAN ALSO BE
USED FOR ADVANCED COURSES ON THE TOPIC
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
any_adam_object | 1 |
author | Bakry, Dominique Gentil, Ivan Ledoux, Michel 1958- |
author_GND | (DE-588)1045647071 (DE-588)1045647314 (DE-588)112924360 |
author_facet | Bakry, Dominique Gentil, Ivan Ledoux, Michel 1958- |
author_role | aut aut aut |
author_sort | Bakry, Dominique |
author_variant | d b db i g ig m l ml |
building | Verbundindex |
bvnumber | BV041627063 |
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collection | ZDB-2-SMA |
ctrlnum | (OCoLC)868315438 (DE-599)BVBBV041627063 |
dewey-full | 519.2 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.2 |
dewey-search | 519.2 |
dewey-sort | 3519.2 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-319-00227-9 |
format | Electronic eBook |
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language | English |
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spelling | Bakry, Dominique Verfasser (DE-588)1045647071 aut Analysis and geometry of Markov diffusion operators Dominique Bakry ; Ivan Gentil ; Michel Ledoux Cham Springer 2014 1 Online-Ressource (XX, 552 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften 348 Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Diffusionsprozess (DE-588)4274463-5 gnd rswk-swf Halbgruppe (DE-588)4022990-7 gnd rswk-swf Diffusionsprozess (DE-588)4274463-5 s Markov-Prozess (DE-588)4134948-9 s Halbgruppe (DE-588)4022990-7 s DE-604 Gentil, Ivan Verfasser (DE-588)1045647314 aut Ledoux, Michel 1958- Verfasser (DE-588)112924360 aut Grundlehren der mathematischen Wissenschaften 348 (DE-604)BV049758308 348 https://doi.org/10.1007/978-3-319-00227-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027068043&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027068043&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
spellingShingle | Bakry, Dominique Gentil, Ivan Ledoux, Michel 1958- Analysis and geometry of Markov diffusion operators Grundlehren der mathematischen Wissenschaften Markov-Prozess (DE-588)4134948-9 gnd Diffusionsprozess (DE-588)4274463-5 gnd Halbgruppe (DE-588)4022990-7 gnd |
subject_GND | (DE-588)4134948-9 (DE-588)4274463-5 (DE-588)4022990-7 |
title | Analysis and geometry of Markov diffusion operators |
title_auth | Analysis and geometry of Markov diffusion operators |
title_exact_search | Analysis and geometry of Markov diffusion operators |
title_full | Analysis and geometry of Markov diffusion operators Dominique Bakry ; Ivan Gentil ; Michel Ledoux |
title_fullStr | Analysis and geometry of Markov diffusion operators Dominique Bakry ; Ivan Gentil ; Michel Ledoux |
title_full_unstemmed | Analysis and geometry of Markov diffusion operators Dominique Bakry ; Ivan Gentil ; Michel Ledoux |
title_short | Analysis and geometry of Markov diffusion operators |
title_sort | analysis and geometry of markov diffusion operators |
topic | Markov-Prozess (DE-588)4134948-9 gnd Diffusionsprozess (DE-588)4274463-5 gnd Halbgruppe (DE-588)4022990-7 gnd |
topic_facet | Markov-Prozess Diffusionsprozess Halbgruppe |
url | https://doi.org/10.1007/978-3-319-00227-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027068043&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027068043&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV049758308 |
work_keys_str_mv | AT bakrydominique analysisandgeometryofmarkovdiffusionoperators AT gentilivan analysisandgeometryofmarkovdiffusionoperators AT ledouxmichel analysisandgeometryofmarkovdiffusionoperators |