Holdings: Analysis and geometry of Markov diffusion operators

Analysis and geometry of Markov diffusion operators:

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Bibliographic Details
Main Authors:	Bakry, Dominique (Author), Gentil, Ivan (Author), Ledoux, Michel 1958- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham Springer 2014
Series:	Grundlehren der mathematischen Wissenschaften 348
Subjects:	Markov-Prozess Diffusionsprozess Halbgruppe
Online Access:	DE-634 DE-861 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (XX, 552 S.) graph. Darst.
ISBN:	9783319002262 9783319002279
DOI:	10.1007/978-3-319-00227-9

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Record in the Search Index

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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.
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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

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