Coarse geometry and randomness: École d'Été de Probabilités de Saint-Flour XLI - 2011
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cham [u.a.]
Springer
2013
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Schriftenreihe: | Lecture notes in mathematics
2100 |
Schlagworte: | |
Online-Zugang: | Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource (VII, 129 S.) Ill., graph. Darst. 235 mm x 155 mm |
ISBN: | 3319025759 9783319025766 |
DOI: | 10.1007/978-3-319-02576-6 |
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Datensatz im Suchindex
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adam_text | COARSE GEOMETRY AND RANDOMNESS
/ BENJAMINI, ITAI
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
ISOPERIMETRY AND EXPANSIONS IN GRAPHS
SEVERAL METRIC NOTIONS
THE HYPERBOLIC PLANE AND HYPERBOLIC GRAPHS
MORE ON THE STRUCTURE OF VERTEX TRANSITIVE GRAPHS
PERCOLATION ON GRAPHS
LOCAL LIMITS OF GRAPHS
RANDOM PLANAR GEOMETRY
GROWTH AND ISOPERIMETRIC PROFILE OF PLANAR GRAPHS
CRITICAL PERCOLATION ON NON-AMENABLE GROUPS
UNIQUENESS OF THE INFINITE PERCOLATION CLUSTER
PERCOLATION PERTURBATIONS
PERCOLATION ON EXPANDERS
HARMONIC FUNCTIONS ON GRAPHS
NONAMENABLE LIOUVILLE GRAPHS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
COARSE GEOMETRY AND RANDOMNESS
/ BENJAMINI, ITAI
: 2013
ABSTRACT / INHALTSTEXT
THESE LECTURE NOTES STUDY THE INTERPLAY BETWEEN RANDOMNESS AND GEOMETRY
OF GRAPHS. THE FIRST PART OF THE NOTES REVIEWS SEVERAL BASIC GEOMETRIC
CONCEPTS, BEFORE MOVING ON TO EXAMINE THE MANIFESTATION OF THE
UNDERLYING GEOMETRY IN THE BEHAVIOR OF RANDOM PROCESSES, MOSTLY
PERCOLATION AND RANDOM WALK. THE STUDY OF THE GEOMETRY OF INFINITE
VERTEX TRANSITIVE GRAPHS, AND OF CAYLEY GRAPHS IN PARTICULAR, IS FAIRLY
WELL DEVELOPED. ONE GOAL OF THESE NOTES IS TO POINT TO SOME RANDOM
METRIC SPACES MODELED BY GRAPHS THAT TURN OUT TO BE SOMEWHAT EXOTIC,
THAT IS, THEY ADMIT A COMBINATION OF PROPERTIES NOT ENCOUNTERED IN THE
VERTEX TRANSITIVE WORLD. THESE INCLUDE PERCOLATION CLUSTERS ON VERTEX
TRANSITIVE GRAPHS, CRITICAL CLUSTERS, LOCAL AND SCALING LIMITS OF
GRAPHS, LONG RANGE PERCOLATION, CCCP GRAPHS OBTAINED BY CONTRACTING
PERCOLATION CLUSTERS ON GRAPHS, AND STATIONARY RANDOM GRAPHS, INCLUDING
THE UNIFORM INFINITE PLANAR TRIANGULATION (UIPT) AND THE STOCHASTIC
HYPERBOLIC PLANAR QUADRANGULATION (SHIQ)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Benjamini, Itai |
author_facet | Benjamini, Itai |
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dewey-ones | 610 - Medicine and health |
dewey-raw | 610 |
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dewey-tens | 610 - Medicine and health |
discipline | Mathematik Medizin |
doi_str_mv | 10.1007/978-3-319-02576-6 |
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isbn | 3319025759 9783319025766 |
language | English |
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spelling | Benjamini, Itai Verfasser aut Coarse geometry and randomness École d'Été de Probabilités de Saint-Flour XLI - 2011 Itai Benjamini Cham [u.a.] Springer 2013 1 Online-Ressource (VII, 129 S.) Ill., graph. Darst. 235 mm x 155 mm txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2100 Irrfahrtsproblem (DE-588)4162442-7 gnd rswk-swf Graph (DE-588)4021842-9 gnd rswk-swf Graph (DE-588)4021842-9 s Irrfahrtsproblem (DE-588)4162442-7 s DE-604 Erscheint auch als Druck-Ausgabe, Paperback 978-3-319-02575-9 Lecture notes in mathematics 2100 (DE-604)BV014303148 2100 https://doi.org/10.1007/978-3-319-02576-6 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027082344&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=027082344&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
spellingShingle | Benjamini, Itai Coarse geometry and randomness École d'Été de Probabilités de Saint-Flour XLI - 2011 Lecture notes in mathematics Irrfahrtsproblem (DE-588)4162442-7 gnd Graph (DE-588)4021842-9 gnd |
subject_GND | (DE-588)4162442-7 (DE-588)4021842-9 |
title | Coarse geometry and randomness École d'Été de Probabilités de Saint-Flour XLI - 2011 |
title_auth | Coarse geometry and randomness École d'Été de Probabilités de Saint-Flour XLI - 2011 |
title_exact_search | Coarse geometry and randomness École d'Été de Probabilités de Saint-Flour XLI - 2011 |
title_full | Coarse geometry and randomness École d'Été de Probabilités de Saint-Flour XLI - 2011 Itai Benjamini |
title_fullStr | Coarse geometry and randomness École d'Été de Probabilités de Saint-Flour XLI - 2011 Itai Benjamini |
title_full_unstemmed | Coarse geometry and randomness École d'Été de Probabilités de Saint-Flour XLI - 2011 Itai Benjamini |
title_short | Coarse geometry and randomness |
title_sort | coarse geometry and randomness ecole d ete de probabilites de saint flour xli 2011 |
title_sub | École d'Été de Probabilités de Saint-Flour XLI - 2011 |
topic | Irrfahrtsproblem (DE-588)4162442-7 gnd Graph (DE-588)4021842-9 gnd |
topic_facet | Irrfahrtsproblem Graph |
url | https://doi.org/10.1007/978-3-319-02576-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027082344&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=027082344&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV014303148 |
work_keys_str_mv | AT benjaminiitai coarsegeometryandrandomnessecoledetedeprobabilitesdesaintflourxli2011 |