Intersections of random walks:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2013
|
| Edition: | Reprint of the 1996 ed. |
| Series: | Modern Birkhäuser classics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 223 S. |
| ISBN: | 9781461459712 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804151425543962624 |
|---|---|
| adam_text | Contents
Simple Random Walk 11
1.1
Introduction
........................... 11
1.2
Locai
Central Limit Theorem................. 12
1.3
Strong
Markov Property
.................... 19
1.4 Harmonie
Functions, Dirichlet
Problem ........... 21
1.5
Green s Function, Transient Case
............... 28
1.6
Recurrent Case
......................... 37
1.7
Difference Estimates and Harnack Inequality
........ 41
Harmonic Measure
47
2.1
Definition
............................ 47
2.2
Capacity, IVansient Case
.................... 51
2.3
Capacity, Two Dimensions
................... 57
2.4
Example: Line Segment
.................... 62
2.5
Upper Bounds for Harmonic Measure
............ 76
2.6
Diffusion Limited Aggregation
................. 82
Intersection Probabilities
87
3.1
Introduction
........................... 87
3.2
Preliminaries
.......................... 88
3.3
Long Range Intersections
................... 93
3.4
Upper Bound in Four Dimensions
............... 97
3.5
Two-Sided Walks
........................ 102
3.6
Upper Bound for Two-Sided Walks
.............. 105
3.7
One-sided Walks
........................ 113
Four Dimensions
115
4.1
Introduction
........................... 115
4.2
Two-sided Walks
........................ 116
4.3
Long-range Intersections
.................... 121
10 CONTENTS
4.4
One-sided
Walks........................ 128
4.5
Three
Walks in
Three Dimensions
.............. 134
5
Two and Three Dimensions
139
5.1
Intersection Exponent
..................... 139
5.2
Intersections of Brownian Motions
.............. 141
5.3
Equivalence of Exponents
................... 146
5.4
Variational Formulation
.................... 149
5.5
Lower Bound in Two Dimensions
............... 152
5.6
Upper Bound
.......................... 155
6
Self-Avoiding Walks
163
6.1
Introduction
........................... 163
6.2
Connective Constant
...................... 164
6.3
Critical Exponents
....................... 165
6.4
Edwards Model
......................... 170
6.5
Kinetically Growing Walks
.................. 175
6.6
Monte Carlo Simulations
.................... 178
7
Loop-Erased Walk
183
7.1
Introduction
........................... 183
7.2
Erasing Loops
.......................... 184
7.3
Loop-erased Walk
........................ 186
7.4
Two Dimensions
........................ 188
7.5
Estimates on Amount Erased
................. 191
7.6
Growth Rate in Low Dimensions
............... 199
7.7
High Dimensions
........................ 201
A Recent Results
221
|
| any_adam_object | 1 |
| author | Lawler, Gregory F. 1955- |
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| classification_rvk | SK 820 |
| ctrlnum | (OCoLC)879306196 (DE-599)BVBBV041348476 |
| discipline | Mathematik |
| edition | Reprint of the 1996 ed. |
| format | Book |
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| isbn | 9781461459712 |
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| spelling | Lawler, Gregory F. 1955- Verfasser (DE-588)123908671 aut Intersections of random walks Gregory F. Lawler Reprint of the 1996 ed. New York [u.a.] Springer 2013 223 S. txt rdacontent n rdamedia nc rdacarrier Modern Birkhäuser classics Random walks (Mathematics) Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Arithmetisches Mittel (DE-588)4143009-8 gnd rswk-swf Irrfahrtsproblem (DE-588)4162442-7 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Irrfahrtsproblem (DE-588)4162442-7 s Arithmetisches Mittel (DE-588)4143009-8 s 2\p DE-604 Stochastischer Prozess (DE-588)4057630-9 s 3\p DE-604 Erscheint auch als Online-Ausgabe 978-1-4614-5972-9 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026797099&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lawler, Gregory F. 1955- Intersections of random walks Random walks (Mathematics) Stochastischer Prozess (DE-588)4057630-9 gnd Arithmetisches Mittel (DE-588)4143009-8 gnd Irrfahrtsproblem (DE-588)4162442-7 gnd |
| subject_GND | (DE-588)4057630-9 (DE-588)4143009-8 (DE-588)4162442-7 (DE-588)4143389-0 |
| title | Intersections of random walks |
| title_auth | Intersections of random walks |
| title_exact_search | Intersections of random walks |
| title_full | Intersections of random walks Gregory F. Lawler |
| title_fullStr | Intersections of random walks Gregory F. Lawler |
| title_full_unstemmed | Intersections of random walks Gregory F. Lawler |
| title_short | Intersections of random walks |
| title_sort | intersections of random walks |
| topic | Random walks (Mathematics) Stochastischer Prozess (DE-588)4057630-9 gnd Arithmetisches Mittel (DE-588)4143009-8 gnd Irrfahrtsproblem (DE-588)4162442-7 gnd |
| topic_facet | Random walks (Mathematics) Stochastischer Prozess Arithmetisches Mittel Irrfahrtsproblem Aufgabensammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026797099&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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