Combinatorial stochastic processes: Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002
Gespeichert in:
1. Verfasser: | |
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Format: | Tagungsbericht Buch |
Sprache: | English |
Veröffentlicht: |
Berlin ; Heidelberg
Springer
[2006]
|
Schriftenreihe: | Lecture notes in mathematics
1875 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Enthält Literaturverzeichnis Seite 223 - 247 und Index |
Beschreibung: | IX, 256 Seiten Illustrationen 24 cm |
ISBN: | 9783540309901 354030990X |
Internformat
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245 | 1 | 0 | |a Combinatorial stochastic processes |b Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 |c J. Pitman |
264 | 1 | |a Berlin ; Heidelberg |b Springer |c [2006] | |
300 | |a IX, 256 Seiten |b Illustrationen |c 24 cm | ||
336 | |b txt |2 rdacontent | ||
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490 | 1 | |a Lecture notes in mathematics |v 1875 | |
500 | |a Enthält Literaturverzeichnis Seite 223 - 247 und Index | ||
650 | 4 | |a Analyse stochastique | |
650 | 4 | |a Combinatieleer | |
650 | 7 | |a Combinatieleer |2 gtt | |
650 | 4 | |a Stochastische processen | |
650 | 7 | |a Stochastische processen |2 gtt | |
650 | 4 | |a Combinatorial probabilities | |
650 | 4 | |a Stochastic analysis | |
650 | 4 | |a Stochastic processes | |
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Datensatz im Suchindex
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adam_text | Contents
0
Preliminaries
1
0.0
Preface
................................ 1
0.1
Introduction
.............................. 2
0.2
Brownian motion and related processes
............... 3
0.3
Subordinators
............................. 9
1
Bell polynomials and Gibbs partitions
13
1.1
Notation
................................ 14
1.2
Partitions and compositions
..................... 14
1.3
Moments and
cumulants
....................... 20
1.4
Random sums
............................. 23
1.5
Gibbs partitions
........................... 24
2
Exchangeable random partitions
37
2.1
Finite partitions
...........................
38
2.2
Infinite partitions
........................... ^2
2.3
Structural distributions
....................... ^6
2.4
Convergence
..............................
*°
2.5
Limits of Gibbs partitions
......................
50
3
Sequential constructions of random partitions
55
3.1
The Chinese restaurant process
................... 56
3.2
The two-parameter model
......................
3.3
Asymptotics
..............................
3.4
A branching process construction
..................
• 77
4
Poisson
constructions of random partitions
4.1
Size-biased sampling
.........................
4.2
Poisson
representation of the two-parameter model
........
4.3
Representation of infinite Gibbs partitions
.............
°5
4.4
Lengths of stable excursions
.....................
4.5
Brownian excursions
.........................
VIII Contents
5
Coagulation and fragmentation
processes
97
5.1
Coalescents
.............................. 98
5.2
Fragmentations
............................
Ю6
5.3
Representations of infinite partitions
................ 109
5.4
Coagulation and subordination
................... 112
5.5
Coagulation
-
fragmentation duality
................ 116
6
Random walks and random forests
121
6.1
Cyclic shifts and
Lagrange
inversion
................122
6.2
Galton-Watson forests
........................125
6.3
Brownian asymptotics for conditioned Galton-Watson trees
. . . 129
6.4
Critical random graphs
........................135
7
The Brownian forest
143
7.1
Plane trees with edge-lengths
.................... 144
7.2
Binary Galton-Watson trees
..................... 146
7.3
Trees in continuous paths
...................... 149
7.4
Brownian trees and excursions
................... 152
7.5
Plane forests with edge-lengths
................... 162
7.6
Sampling at downcrossing times
................... 165
7.7
Sampling at
Poisson
times
...................... 167
7.8
Path decompositions
......................... 172
7.9
Further developments
........................ 174
8
Brownian local times
177
8.1
Stopping at an inverse local time
..................177
8.2
Squares of Bessel processes
.....................179
8.3
Stopping at fixed times
.......................182
8.4
Time-changed local time processes
.................185
8.5
Branching process approximations
.................187
9
Brownian bridge asymptotics
193
9.1
Basins and trees
........................... 194
9.2
Mapping walks
............................ 198
9.3
Brownian asymptotics
........................ 199
9.4
The diameter
............................. 203
9.5
The height profile
........................... 205
9.6
Non-uniform random mappings
................... 206
10
Random forests and the additive coalescent
207
10.1
Random p-forests and Cayley s multinomial expansion
......208
10.2
The additive coalescent
.......................210
10.3
The standard additive coalescent
..................213
10.4
Poisson
cutting of the Brownian tree
................215
Contents
IX
Bibliography
223
Index 249
List of participants
253
List of short lectures
255
|
adam_txt |
Contents
0
Preliminaries
1
0.0
Preface
. 1
0.1
Introduction
. 2
0.2
Brownian motion and related processes
. 3
0.3
Subordinators
. 9
1
Bell polynomials and Gibbs partitions
13
1.1
Notation
. 14
1.2
Partitions and compositions
. 14
1.3
Moments and
cumulants
. 20
1.4
Random sums
. 23
1.5
Gibbs partitions
. 24
2
Exchangeable random partitions
37
2.1
Finite partitions
.
38
2.2
Infinite partitions
. ^2
2.3
Structural distributions
. ^6
2.4
Convergence
.
*°
2.5
Limits of Gibbs partitions
.
50
3
Sequential constructions of random partitions
55
3.1
The Chinese restaurant process
. 56
3.2
The two-parameter model
.
3.3
Asymptotics
.
3.4
A branching process construction
.
• 77
4
Poisson
constructions of random partitions
4.1
Size-biased sampling
.
4.2
Poisson
representation of the two-parameter model
.
4.3
Representation of infinite Gibbs partitions
.
°5
4.4
Lengths of stable excursions
.
4.5
Brownian excursions
.
VIII Contents
5
Coagulation and fragmentation
processes
97
5.1
Coalescents
. 98
5.2
Fragmentations
.
Ю6
5.3
Representations of infinite partitions
. 109
5.4
Coagulation and subordination
. 112
5.5
Coagulation
-
fragmentation duality
. 116
6
Random walks and random forests
121
6.1
Cyclic shifts and
Lagrange
inversion
.122
6.2
Galton-Watson forests
.125
6.3
Brownian asymptotics for conditioned Galton-Watson trees
. . . 129
6.4
Critical random graphs
.135
7
The Brownian forest
143
7.1
Plane trees with edge-lengths
. 144
7.2
Binary Galton-Watson trees
. 146
7.3
Trees in continuous paths
. 149
7.4
Brownian trees and excursions
. 152
7.5
Plane forests with edge-lengths
. 162
7.6
Sampling at downcrossing times
. 165
7.7
Sampling at
Poisson
times
. 167
7.8
Path decompositions
. 172
7.9
Further developments
. 174
8
Brownian local times
177
8.1
Stopping at an inverse local time
.177
8.2
Squares of Bessel processes
.179
8.3
Stopping at fixed times
.182
8.4
Time-changed local time processes
.185
8.5
Branching process approximations
.187
9
Brownian bridge asymptotics
193
9.1
Basins and trees
. 194
9.2
Mapping walks
. 198
9.3
Brownian asymptotics
. 199
9.4
The diameter
. 203
9.5
The height profile
. 205
9.6
Non-uniform random mappings
. 206
10
Random forests and the additive coalescent
207
10.1
Random p-forests and Cayley's multinomial expansion
.208
10.2
The additive coalescent
.210
10.3
The standard additive coalescent
.213
10.4
Poisson
cutting of the Brownian tree
.215
Contents
IX
Bibliography
223
Index 249
List of participants
253
List of short lectures
255 |
any_adam_object | 1 |
any_adam_object_boolean | 1 |
author | Pitman, Jim |
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discipline | Mathematik |
discipline_str_mv | Mathematik |
format | Conference Proceeding Book |
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physical | IX, 256 Seiten Illustrationen 24 cm |
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spelling | Pitman, Jim Verfasser aut Combinatorial stochastic processes Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 J. Pitman Berlin ; Heidelberg Springer [2006] IX, 256 Seiten Illustrationen 24 cm txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1875 Enthält Literaturverzeichnis Seite 223 - 247 und Index Analyse stochastique Combinatieleer Combinatieleer gtt Stochastische processen Stochastische processen gtt Combinatorial probabilities Stochastic analysis Stochastic processes Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Kombinatorik (DE-588)4031824-2 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Stochastischer Prozess (DE-588)4057630-9 s Kombinatorik (DE-588)4031824-2 s DE-604 Ecole d'Eté de Probabilités 32 2002 Saint-Flour (DE-588)10077696-6 his Lecture notes in mathematics 1875 (DE-604)BV000676446 1875 Digitalisierung TU Muenchen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014833954&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Pitman, Jim Combinatorial stochastic processes Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 Lecture notes in mathematics Analyse stochastique Combinatieleer Combinatieleer gtt Stochastische processen Stochastische processen gtt Combinatorial probabilities Stochastic analysis Stochastic processes Stochastischer Prozess (DE-588)4057630-9 gnd Kombinatorik (DE-588)4031824-2 gnd |
subject_GND | (DE-588)4057630-9 (DE-588)4031824-2 (DE-588)1071861417 |
title | Combinatorial stochastic processes Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 |
title_auth | Combinatorial stochastic processes Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 |
title_exact_search | Combinatorial stochastic processes Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 |
title_exact_search_txtP | Combinatorial stochastic processes Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 |
title_full | Combinatorial stochastic processes Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 J. Pitman |
title_fullStr | Combinatorial stochastic processes Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 J. Pitman |
title_full_unstemmed | Combinatorial stochastic processes Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 J. Pitman |
title_short | Combinatorial stochastic processes |
title_sort | combinatorial stochastic processes ecole d ete de probabilites de saint flour xxxii 2002 |
title_sub | Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 |
topic | Analyse stochastique Combinatieleer Combinatieleer gtt Stochastische processen Stochastische processen gtt Combinatorial probabilities Stochastic analysis Stochastic processes Stochastischer Prozess (DE-588)4057630-9 gnd Kombinatorik (DE-588)4031824-2 gnd |
topic_facet | Analyse stochastique Combinatieleer Stochastische processen Combinatorial probabilities Stochastic analysis Stochastic processes Stochastischer Prozess Kombinatorik Konferenzschrift |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014833954&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000676446 |
work_keys_str_mv | AT pitmanjim combinatorialstochasticprocessesecoledetedeprobabilitesdesaintflourxxxii2002 AT ecoledetedeprobabilitessaintflour combinatorialstochasticprocessesecoledetedeprobabilitesdesaintflourxxxii2002 |