Limits of graphs in group theory and computer science:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Lausanne
EPFL Press
2009
|
| Ausgabe: | 1. ed. |
| Schriftenreihe: | Fundamental sciences : mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xv, 285 p. |
| ISBN: | 9781439804001 9782940222339 |
Internformat
MARC
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| 245 | 1 | 0 | |a Limits of graphs in group theory and computer science |c Goulnara Arzhantseva... ed. |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Lausanne |b EPFL Press |c 2009 | |
| 300 | |a xv, 285 p. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Fundamental sciences : mathematics | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Graph theory | |
| 650 | 7 | |a Geometrische Kombinatorik / Theoretische Informatik / Geometrische Gruppentheorie / Aufsatzsammlung |2 swd | |
| 650 | 7 | |a Theoretische Informatik / Geometrische Kombinatorik / Geometrische Gruppentheorie / Aufsatzsammlung |2 swd | |
| 650 | 7 | |a Geometrische Gruppentheorie / Theoretische Informatik / Geometrische Kombinatorik / Aufsatzsammlung |2 swd | |
| 650 | 4 | |a Graph theory | |
| 650 | 4 | |a Group theory | |
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| 650 | 0 | 7 | |a Geometrische Kombinatorik |0 (DE-588)4156713-4 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-017744071 | ||
Datensatz im Suchindex
| _version_ | 1804139400855027712 |
|---|---|
| adam_text | Contents
Preface
....................................
v
On Tensor Products
of
Group
С*
-Algebras and Related Topics
Claire Anantharaman-Delaroche
.................. 1
1.
Introduction
.............................. 1
2.
Preliminary background and notations
............... 3
3.
Amenable groups and their C-algebras
.............. 11
4. Kirchberg
factorization property
.................. 14
5.
Amenable dynamical systems
.................... 17
6.
The Akemann-Ostrand property
(АО)
and related notions
.... 23
7.
Applications of property
(АО)
................... 31
A Note on Laplace Operators on Groups
Tullio
Ceccherini-Silberstein and Michel Coornaert
........ 37
1.
Introduction
.............................. 37
2.
Preliminary results
.......................... 38
3.
Proof of the theorem
......................... 39
Bounded Cohomology and Cross Ratios
Ursula
Hamenstädt.......................... 41
1.
Introduction
.............................. 41
2.
Cross-ratios and bounded cohomology
............... 42
3.
Strong boundaries
.......................... 45
4.
Isometries of hyperbolic spaces
................... 50
5.
Applications and questions
..................... 53
Metric Dichotomies
Manor Mendel
............................ 59
1.
Problem statement and motivation
................. 59
2.
Qualitative dichotomies
....................... 62
3.
Dichotomy for subsets of the line
.................. 63
4.
Dichotomies for finite subsets of L
,
and Loo
.........·· 65
5.
Tree metrics
.............................. 70
xiv
Contents
Asymptotic Problems in Algebraic Structures
Victor M. Petrogradsky
....................... 77
1.
Growth of finitely generated solvable Lie algebras and groups
. . 78
2.
Schreier s formulae and generating functions for Lie algebras
. . 83
3.
Multiple
zeta
functions of free abelian groups
........... 89
4.
Subgroup growth and
subalgebra
growth
of restricted Lie algebras
.................... 94
5.
Wreath products and self-iterating Lie algebras
.......... 100
Spectral Analysis of Metric Graphs and Related Spaces
Olaf
Post
............................... 109
1.
Introduction
.............................. 109
2.
Discrete graphs and general Laplacians
...............
Ill
3.
Metric graphs
............................. 119
4.
Relations between discrete and metric graphs
........... 125
5.
Relations between metric graphs and manifolds
.......... 130
6.
Estimates on the first non-zero eigenvalue
............. 132
7.
Trace formulas
............................ 135
Manifestations of Nonlinear Roundness in Analysis, Discrete Geomety
and Topology
Stratos Prassidis
and Anthony Weston
............... 141
1.
Nonlinear Roundness. Introduction and Background
....... 141
2.
Roundness Properties of Metric Spaces and Groups
........ 147
3.
Generalized Roundness and the Novikov Conjecture
....... 149
4.
Rademacher Type, BMW Type
and Scaled Versions of Roundness
............... 152
5.
Uniform Banach Groups
....................... 157
6.
Strict Negative Type and the Geometry of Finite Metric Spaces
. 162
Fixed Point Properties in the Space of Marked Groups
Yves
Stölder
............................. 171
1.
Introduction
.............................. 171
2.
Preliminaries
............................. 173
3.
From actions without fixed point to uniform actions
....... 174
4.
Applications to fixed point properties
............... 178
Contents xv
A Pastiche on Embeddings into Simple Groups (following P. E.
Schupp)
Zoran Šunić
.............................. 183
1.
Background and results
....................... 183
2.
Proofs and additional comments
.................. 185
Some Notes on Property A
Rufus Willett
............................. 191
1.
Property A and coarse geometry
.................. 193
2.
Permanence properties
........................ 204
3.
Kernels and coarse embeddability
.................. 218
4.
Connections with C*-algebra theory
................ 229
5.
Property A for non-discrete spaces
................. 243
6.
Connections with amenability
.................... 247
7.
Spaces without property A
..................... 262
8.
Comments on the bibliography
................... 275
Index
..................................... 283
|
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| discipline | Mathematik |
| edition | 1. ed. |
| format | Book |
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| indexdate | 2024-07-09T21:43:29Z |
| institution | BVB |
| isbn | 9781439804001 9782940222339 |
| language | English |
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| physical | xv, 285 p. |
| publishDate | 2009 |
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| record_format | marc |
| series2 | Fundamental sciences : mathematics |
| spelling | Limits of graphs in group theory and computer science Goulnara Arzhantseva... ed. 1. ed. Lausanne EPFL Press 2009 xv, 285 p. txt rdacontent n rdamedia nc rdacarrier Fundamental sciences : mathematics Includes bibliographical references and index Group theory Graph theory Geometrische Kombinatorik / Theoretische Informatik / Geometrische Gruppentheorie / Aufsatzsammlung swd Theoretische Informatik / Geometrische Kombinatorik / Geometrische Gruppentheorie / Aufsatzsammlung swd Geometrische Gruppentheorie / Theoretische Informatik / Geometrische Kombinatorik / Aufsatzsammlung swd Geometrische Gruppentheorie (DE-588)4651615-3 gnd rswk-swf Theoretische Informatik (DE-588)4196735-5 gnd rswk-swf Geometrische Kombinatorik (DE-588)4156713-4 gnd rswk-swf Endlicher Graph (DE-588)4283258-5 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Gruppentheorie (DE-588)4072157-7 s Endlicher Graph (DE-588)4283258-5 s DE-604 Geometrische Gruppentheorie (DE-588)4651615-3 s Geometrische Kombinatorik (DE-588)4156713-4 s Theoretische Informatik (DE-588)4196735-5 s Arzhantseva, Goulnara N. 1973- Sonstige (DE-588)133216675 oth Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017744071&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Limits of graphs in group theory and computer science Group theory Graph theory Geometrische Kombinatorik / Theoretische Informatik / Geometrische Gruppentheorie / Aufsatzsammlung swd Theoretische Informatik / Geometrische Kombinatorik / Geometrische Gruppentheorie / Aufsatzsammlung swd Geometrische Gruppentheorie / Theoretische Informatik / Geometrische Kombinatorik / Aufsatzsammlung swd Geometrische Gruppentheorie (DE-588)4651615-3 gnd Theoretische Informatik (DE-588)4196735-5 gnd Geometrische Kombinatorik (DE-588)4156713-4 gnd Endlicher Graph (DE-588)4283258-5 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4651615-3 (DE-588)4196735-5 (DE-588)4156713-4 (DE-588)4283258-5 (DE-588)4072157-7 (DE-588)4143413-4 |
| title | Limits of graphs in group theory and computer science |
| title_auth | Limits of graphs in group theory and computer science |
| title_exact_search | Limits of graphs in group theory and computer science |
| title_full | Limits of graphs in group theory and computer science Goulnara Arzhantseva... ed. |
| title_fullStr | Limits of graphs in group theory and computer science Goulnara Arzhantseva... ed. |
| title_full_unstemmed | Limits of graphs in group theory and computer science Goulnara Arzhantseva... ed. |
| title_short | Limits of graphs in group theory and computer science |
| title_sort | limits of graphs in group theory and computer science |
| topic | Group theory Graph theory Geometrische Kombinatorik / Theoretische Informatik / Geometrische Gruppentheorie / Aufsatzsammlung swd Theoretische Informatik / Geometrische Kombinatorik / Geometrische Gruppentheorie / Aufsatzsammlung swd Geometrische Gruppentheorie / Theoretische Informatik / Geometrische Kombinatorik / Aufsatzsammlung swd Geometrische Gruppentheorie (DE-588)4651615-3 gnd Theoretische Informatik (DE-588)4196735-5 gnd Geometrische Kombinatorik (DE-588)4156713-4 gnd Endlicher Graph (DE-588)4283258-5 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Group theory Graph theory Geometrische Kombinatorik / Theoretische Informatik / Geometrische Gruppentheorie / Aufsatzsammlung Theoretische Informatik / Geometrische Kombinatorik / Geometrische Gruppentheorie / Aufsatzsammlung Geometrische Gruppentheorie / Theoretische Informatik / Geometrische Kombinatorik / Aufsatzsammlung Geometrische Gruppentheorie Theoretische Informatik Geometrische Kombinatorik Endlicher Graph Gruppentheorie Aufsatzsammlung |
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