Verfügbarkeit: Dirichlet forms methods for Poisson point measures and Lévy processes

Dirichlet forms methods for Poisson point measures and Lévy processes: with emphasis on the creation-annihilation techniques

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Bibliographische Detailangaben
Hauptverfasser:	Bouleau, Nicolas 1945- (VerfasserIn), Denis, Laurent (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cham Springer [2015]
Schriftenreihe:	Probability Theory and Stochastic Modelling volume 76
Schlagworte:	Mathematics Probabilities Probability Theory and Stochastic Processes Mathematik Lévy-Prozess Dirichletsche Form Poisson-Prozess
Online-Zugang:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Abstract Inhaltsverzeichnis
Beschreibung:	1 Online Ressource (XVIII, 323 Seiten, 3 illus. in color)
ISBN:	9783319258201
ISSN:	2199-3130
DOI:	10.1007/978-3-319-25820-1

Internformat

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Datensatz im Suchindex

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adam_text	DIRICHLET FORMS METHODS FOR POISSON POINT MEASURES AND LEVY PROCESSES / BOULEAU, NICOLAS : 2015 ABSTRACT / INHALTSTEXT A SIMPLIFIED APPROACH TO MALLIAVIN CALCULUS ADAPTED TO POISSON RANDOM MEASURES IS DEVELOPED AND APPLIED IN THIS BOOK. CALLED THE “LENT PARTICLE METHOD” IT IS BASED ON PERTURBATION OF THE POSITION OF PARTICLES. POISSON RANDOM MEASURES DESCRIBE PHENOMENA INVOLVING RANDOM JUMPS (FOR INSTANCE IN MATHEMATICAL FINANCE) OR THE RANDOM DISTRIBUTION OF PARTICLES (AS IN STATISTICAL PHYSICS). THANKS TO THE THEORY OF DIRICHLET FORMS, THE AUTHORS DEVELOP A MATHEMATICAL TOOL FOR A QUITE GENERAL CLASS OF RANDOM POISSON MEASURES AND SIGNIFICANTLY SIMPLIFY COMPUTATIONS OF MALLIAVIN MATRICES OF POISSON FUNCTIONALS. THE METHOD GIVES RISE TO A NEW EXPLICIT CALCULUS THAT THEY ILLUSTRATE ON VARIOUS EXAMPLES: IT CONSISTS IN ADDING A PARTICLE AND THEN REMOVING IT AFTER COMPUTING THE GRADIENT. USING THIS METHOD, ONE CAN ESTABLISH ABSOLUTE CONTINUITY OF POISSON FUNCTIONALS SUCH AS LEVY AREAS, SOLUTIONS OF SDES DRIVEN BY POISSON MEASURE AND, BY ITERATION, OBTAIN REGULARITY OF LAWS. THE AUTHORS ALSO GIVE APPLICATIONS TO ERROR CALCULUS THEORY. THIS BOOK WILL BE OF INTEREST TO RESEARCHERS AND GRADUATE STUDENTS IN THE FIELDS OF STOCHASTIC ANALYSIS AND FINANCE, AND IN THE DOMAIN OF STATISTICAL PHYSICS. PROFESSORS PREPARING COURSES ON THESE TOPICS WILL ALSO FIND IT USEFUL. THE PREREQUISITE IS A KNOWLEDGE OF PROBABILITY THEORY DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. DIRICHLET FORMS METHODS FOR POISSON POINT MEASURES AND LEVY PROCESSES / BOULEAU, NICOLAS : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION NOTATIONS AND BASIC ANALYTICAL PROPERTIES 1.REMINDERS ON POISSON RANDOM MEASURES, LEVY PROCESSES AND DIRICHLET FORMS 2.DIRICHLET FORMS AND (EID) 3.CONSTRUCTION OF THE DIRICHLET STRUCTURE ON THE UPPER SPACE 4.THE LENT PARTICLE FORMULA AND RELATED FORMULAE 5.SOBOLEV SPACES AND DISTRIBUTIONS ON POISSON SPACE 6 SPACE-TIME SETTING AND PROCESSES 7.APPLICATIONS TO STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY A RANDOM MEASURE 8.AFFINE PROCESSES, RATES MODELS 9.NON POISSONIAN CASES A.ERROR STRUCTURES B.THE CO-AREA FORMULA REFERENCES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Bouleau, Nicolas 1945- Denis, Laurent
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spelling	Bouleau, Nicolas 1945- Verfasser (DE-588)11295006X aut Dirichlet forms methods for Poisson point measures and Lévy processes with emphasis on the creation-annihilation techniques Nicolas Bouleau, Laurent Denis Cham Springer [2015] © 2015 1 Online Ressource (XVIII, 323 Seiten, 3 illus. in color) txt rdacontent c rdamedia cr rdacarrier Probability Theory and Stochastic Modelling volume 76 2199-3130 Mathematics Probabilities Probability Theory and Stochastic Processes Mathematik Lévy-Prozess (DE-588)4463623-4 gnd rswk-swf Dirichletsche Form (DE-588)4150137-8 gnd rswk-swf Poisson-Prozess (DE-588)4174971-6 gnd rswk-swf Dirichletsche Form (DE-588)4150137-8 s Poisson-Prozess (DE-588)4174971-6 s Lévy-Prozess (DE-588)4463623-4 s 1\p DE-604 Denis, Laurent Verfasser (DE-588)1021226858 aut Erscheint auch als Druckausgabe 978-3-319-25818-8 Probability Theory and Stochastic Modelling volume 76 (DE-604)BV041997534 76 https://doi.org/10.1007/978-3-319-25820-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028826759&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028826759&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Bouleau, Nicolas 1945- Denis, Laurent Dirichlet forms methods for Poisson point measures and Lévy processes with emphasis on the creation-annihilation techniques Probability Theory and Stochastic Modelling Mathematics Probabilities Probability Theory and Stochastic Processes Mathematik Lévy-Prozess (DE-588)4463623-4 gnd Dirichletsche Form (DE-588)4150137-8 gnd Poisson-Prozess (DE-588)4174971-6 gnd
subject_GND	(DE-588)4463623-4 (DE-588)4150137-8 (DE-588)4174971-6
title	Dirichlet forms methods for Poisson point measures and Lévy processes with emphasis on the creation-annihilation techniques
title_auth	Dirichlet forms methods for Poisson point measures and Lévy processes with emphasis on the creation-annihilation techniques
title_exact_search	Dirichlet forms methods for Poisson point measures and Lévy processes with emphasis on the creation-annihilation techniques
title_full	Dirichlet forms methods for Poisson point measures and Lévy processes with emphasis on the creation-annihilation techniques Nicolas Bouleau, Laurent Denis
title_fullStr	Dirichlet forms methods for Poisson point measures and Lévy processes with emphasis on the creation-annihilation techniques Nicolas Bouleau, Laurent Denis
title_full_unstemmed	Dirichlet forms methods for Poisson point measures and Lévy processes with emphasis on the creation-annihilation techniques Nicolas Bouleau, Laurent Denis
title_short	Dirichlet forms methods for Poisson point measures and Lévy processes
title_sort	dirichlet forms methods for poisson point measures and levy processes with emphasis on the creation annihilation techniques
title_sub	with emphasis on the creation-annihilation techniques
topic	Mathematics Probabilities Probability Theory and Stochastic Processes Mathematik Lévy-Prozess (DE-588)4463623-4 gnd Dirichletsche Form (DE-588)4150137-8 gnd Poisson-Prozess (DE-588)4174971-6 gnd
topic_facet	Mathematics Probabilities Probability Theory and Stochastic Processes Mathematik Lévy-Prozess Dirichletsche Form Poisson-Prozess
url	https://doi.org/10.1007/978-3-319-25820-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028826759&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=028826759&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV041997534
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