Holdings: A Course on Rough Paths

A Course on Rough Paths: With an Introduction to Regularity Structures

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Bibliographic Details
Main Authors:	Friz, Peter K. 1974- (Author), Hairer, Martin (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham [u.a.] Springer International Publishing 2014
Series:	Universitext
Subjects:	Mathematik Mathematics Differential Equations Differential equations, partial Distribution (Probability theory) Stochastische Differentialgleichung Lehrbuch Stochastische Differenzengleichung
Online Access:	BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (XIV, 251 p. 2 illus)
ISBN:	9783319083322
DOI:	10.1007/978-3-319-08332-2

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adam_text	A COURSE ON ROUGH PATHS / FRIZ, PETER K. : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION THE SPACE OF ROUGH PATHS BROWNIAN MOTION AS A ROUGH PATH INTEGRATION AGAINST ROUGH PATHS STOCHASTIC INTEGRATION AND ITˆO’S FORMULA DOOB–MEYER TYPE DECOMPOSITION FOR ROUGH PATHS OPERATIONS ON CONTROLLED ROUGH PATHS SOLUTIONS TO ROUGH DIFFERENTIAL EQUATIONS STOCHASTIC DIFFERENTIAL EQUATIONS GAUSSIAN ROUGH PATHS CAMERON–MARTIN REGULARITY AND APPLICATIONS STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS INTRODUCTION TO REGULARITY STRUCTURES OPERATIONS ON MODELLED DISTRIBUTIONS APPLICATION TO THE KPZ EQUATION DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. A COURSE ON ROUGH PATHS / FRIZ, PETER K. : 2014 ABSTRACT / INHALTSTEXT LYONS’ ROUGH PATH ANALYSIS HAS PROVIDED NEW INSIGHTS IN THE ANALYSIS OF STOCHASTIC DIFFERENTIAL EQUATIONS AND STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS, SUCH AS THE KPZ EQUATION. THIS TEXTBOOK PRESENTS THE FIRST THOROUGH AND EASILY ACCESSIBLE INTRODUCTION TO ROUGH PATH ANALYSIS. WHEN APPLIED TO STOCHASTIC SYSTEMS, ROUGH PATH ANALYSIS PROVIDES A MEANS TO CONSTRUCT A PATHWISE SOLUTION THEORY WHICH, IN MANY RESPECTS, BEHAVES MUCH LIKE THE THEORY OF DETERMINISTIC DIFFERENTIAL EQUATIONS AND PROVIDES A CLEAN BREAK BETWEEN ANALYTICAL AND PROBABILISTIC ARGUMENTS. IT PROVIDES A TOOLBOX ALLOWING TO RECOVER MANY CLASSICAL RESULTS WITHOUT USING SPECIFIC PROBABILISTIC PROPERTIES SUCH AS PREDICTABILITY OR THE MARTINGALE PROPERTY. THE STUDY OF STOCHASTIC PDES HAS RECENTLY LED TO A SIGNIFICANT EXTENSION – THE THEORY OF REGULARITY STRUCTURES – AND THE LAST PARTS OF THIS BOOK ARE DEVOTED TO A GENTLE INTRODUCTION. MOST OF THIS COURSE IS WRITTEN AS AN ESSENTIALLY SELF-CONTAINED TEXTBOOK, WITH AN EMPHASIS ON IDEAS AND SHORT ARGUMENTS, RATHER THAN PUSHING FOR THE STRONGEST POSSIBLE STATEMENTS. A TYPICAL READER WILL HAVE BEEN EXPOSED TO UPPER UNDERGRADUATE ANALYSIS COURSES AND HAS SOME INTEREST IN STOCHASTIC ANALYSIS. FOR A LARGE PART OF THE TEXT, LITTLE MORE THAN ITO INTEGRATION AGAINST BROWNIAN MOTION IS REQUIRED AS BACKGROUND DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Friz, Peter K. 1974- Hairer, Martin
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spelling	Friz, Peter K. 1974- Verfasser (DE-588)14055839X aut A Course on Rough Paths With an Introduction to Regularity Structures Peter K. Friz, Martin Hairer Cham [u.a.] Springer International Publishing 2014 1 Online-Ressource (XIV, 251 p. 2 illus) txt rdacontent c rdamedia cr rdacarrier Universitext Mathematik Mathematics Differential Equations Differential equations, partial Distribution (Probability theory) Stochastische Differentialgleichung (DE-588)4057621-8 gnd rswk-swf Lehrbuch (DE-588)4123623-3 gnd rswk-swf Stochastische Differenzengleichung (DE-588)4469723-5 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Lehrbuch (DE-588)4123623-3 s Stochastische Differenzengleichung (DE-588)4469723-5 s DE-604 Stochastische Differentialgleichung (DE-588)4057621-8 s 2\p DE-604 Hairer, Martin Verfasser aut Erscheint auch als Druckausgabe 978-3-319-08331-5 https://doi.org/10.1007/978-3-319-08332-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027514153&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=027514153&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Friz, Peter K. 1974- Hairer, Martin A Course on Rough Paths With an Introduction to Regularity Structures Mathematik Mathematics Differential Equations Differential equations, partial Distribution (Probability theory) Stochastische Differentialgleichung (DE-588)4057621-8 gnd Lehrbuch (DE-588)4123623-3 gnd Stochastische Differenzengleichung (DE-588)4469723-5 gnd
subject_GND	(DE-588)4057621-8 (DE-588)4123623-3 (DE-588)4469723-5
title	A Course on Rough Paths With an Introduction to Regularity Structures
title_auth	A Course on Rough Paths With an Introduction to Regularity Structures
title_exact_search	A Course on Rough Paths With an Introduction to Regularity Structures
title_full	A Course on Rough Paths With an Introduction to Regularity Structures Peter K. Friz, Martin Hairer
title_fullStr	A Course on Rough Paths With an Introduction to Regularity Structures Peter K. Friz, Martin Hairer
title_full_unstemmed	A Course on Rough Paths With an Introduction to Regularity Structures Peter K. Friz, Martin Hairer
title_short	A Course on Rough Paths
title_sort	a course on rough paths with an introduction to regularity structures
title_sub	With an Introduction to Regularity Structures
topic	Mathematik Mathematics Differential Equations Differential equations, partial Distribution (Probability theory) Stochastische Differentialgleichung (DE-588)4057621-8 gnd Lehrbuch (DE-588)4123623-3 gnd Stochastische Differenzengleichung (DE-588)4469723-5 gnd
topic_facet	Mathematik Mathematics Differential Equations Differential equations, partial Distribution (Probability theory) Stochastische Differentialgleichung Lehrbuch Stochastische Differenzengleichung
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