Spatial branching processes, random snakes and partial differential equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
[1999]
|
| Schriftenreihe: | Lectures in mathematics : ETH Zürich
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. Seite 155 - 162 |
| Beschreibung: | viii, 162 Seiten Illustrationen, Diagramme |
| ISBN: | 3764361263 0817661263 |
Internformat
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| 100 | 1 | |a Le Gall, Jean-François |d 1959- |0 (DE-588)1033682829 |4 aut | |
| 245 | 1 | 0 | |a Spatial branching processes, random snakes and partial differential equations |c Jean-François LeGall |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c [1999] | |
| 264 | 4 | |c © 1999 | |
| 300 | |a viii, 162 Seiten |b Illustrationen, Diagramme | ||
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| 490 | 0 | |a Lectures in mathematics : ETH Zürich | |
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Datensatz im Suchindex
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|---|---|
| adam_text |
Table of Contents
Foreword vii
Frequently Used Notation ix
Chapter I
An Overview
1.1 Galton Watson processes and continuous state
branching processes 1
1.2 Spatial branching processes and superprocesses 4
1.3 Quadratic branching and the Brownian snake 8
1.4 Some connections with partial differential equations 12
1.5 More general branching mechanisms 15
1.6 Connections with statistical mechanics and interacting
particle systems 17
Chapter II
Continuous state Branching Processes and Superprocesses
11.1 Continuous state branching processes 21
11.2 Superprocesses 28
11.3 Some properties of superprocesses 34
11.4 Calculations of moments 38
Chapter III
The Genealogy of Brownian Excursions
III. 1 The Ito excursion measure 41
111.2 Binary trees 42
111.3 The tree associated with an excursion 44
111.4 The law of the tree associated with an excursion 45
111.5 The normalized excursion and Aldous' continuum
random tree 47
Chapter IV
The Brownian Snake and Quadratic Superprocesses
IV. 1 The Brownian snake 53
IV. 2 Finite dimensional marginals of the Brownian snake 57
IV.3 The connection with superprocesses 59
IV.4 The case of continuous spatial motion 65
IV.5 Some sample path properties 68
IV.6 Integrated super Brownian excursion 73
vi Table of Contents
Chapter V
Exit Measures and the Nonlinear Dirichlet Problem
V.I The construction of the exit measure 75
V.2 The Laplace functional of the exit measure 79
V.3 The probabilistic solution of the nonlinear
Dirichlet problem 82
V.4 Moments of the exit measure 86
Chapter VI
Polar Sets and Solutions with Boundary Blow up
VI.l Solutions with boundary blow up 89
VI.2 Polar sets 92
VI.3 Wiener's test for the Brownian snake 97
VI.4 Uniqueness of the solution with boundary blow up 105
Chapter VII
The Probabilistic Representation of Positive Solutions
VII. 1 Singular solutions and boundary polar sets Ill
VII.2 Some properties of the exit measure from the unit disk 114
VII.3 The representation theorem 119
VH.4 Further developments 127
Chapter VIII
Levy Processes and the Genealogy of General
Continuous state Branching Processes
VIII. 1 The discrete setting 129
VIII.2 Levy processes 132
VIII.3 The height process 134
VIII.4 The exploration process 136
VIII.5 Proof of Theorem 2 141
Bibliographical Notes 151
Bibliography 155
Index 163 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV012617998 |
| illustrated | Illustrated |
| indexdate | 2024-09-17T14:06:39Z |
| institution | BVB |
| isbn | 3764361263 0817661263 |
| language | German |
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| physical | viii, 162 Seiten Illustrationen, Diagramme |
| publishDate | 1999 |
| publishDateSearch | 1999 |
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| publisher | Birkhäuser |
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| series2 | Lectures in mathematics : ETH Zürich |
| spelling | Le Gall, Jean-François 1959- (DE-588)1033682829 aut Spatial branching processes, random snakes and partial differential equations Jean-François LeGall Basel [u.a.] Birkhäuser [1999] © 1999 viii, 162 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Lectures in mathematics : ETH Zürich Literaturverz. Seite 155 - 162 Stochastische partielle Differentialgleichung (DE-588)4135969-0 gnd rswk-swf Verzweigungsprozess (DE-588)4188184-9 gnd rswk-swf Verzweigungsprozess (DE-588)4188184-9 s Stochastische partielle Differentialgleichung (DE-588)4135969-0 s DE-604 Erscheint auch als Online-Ausgabe 978-3-0348-8683-3 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008570915&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Le Gall, Jean-François 1959- Spatial branching processes, random snakes and partial differential equations Stochastische partielle Differentialgleichung (DE-588)4135969-0 gnd Verzweigungsprozess (DE-588)4188184-9 gnd |
| subject_GND | (DE-588)4135969-0 (DE-588)4188184-9 |
| title | Spatial branching processes, random snakes and partial differential equations |
| title_auth | Spatial branching processes, random snakes and partial differential equations |
| title_exact_search | Spatial branching processes, random snakes and partial differential equations |
| title_full | Spatial branching processes, random snakes and partial differential equations Jean-François LeGall |
| title_fullStr | Spatial branching processes, random snakes and partial differential equations Jean-François LeGall |
| title_full_unstemmed | Spatial branching processes, random snakes and partial differential equations Jean-François LeGall |
| title_short | Spatial branching processes, random snakes and partial differential equations |
| title_sort | spatial branching processes random snakes and partial differential equations |
| topic | Stochastische partielle Differentialgleichung (DE-588)4135969-0 gnd Verzweigungsprozess (DE-588)4188184-9 gnd |
| topic_facet | Stochastische partielle Differentialgleichung Verzweigungsprozess |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008570915&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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