National Science Library of Georgia

Random walks on infinite graphs and groups / (Record no. 518129)

MARC details
000 -LEADER
fixed length control field 02475nam a22003978i 4500
001 - CONTROL NUMBER
control field CR9780511470967
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160236.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 090122s2000||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511470967 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521552929 (hardback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521061728 (paperback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA274.73
Item number .W64 2000
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.2/82
Edition number 21
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Woess, Wolfgang,
Dates associated with a name 1954-
Relator term author.
245 10 - TITLE STATEMENT
Title Random walks on infinite graphs and groups /
Statement of responsibility, etc Wolfgang Woess.
246 3# - VARYING FORM OF TITLE
Title proper/short title Random Walks on Infinite Graphs & Groups
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2000.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xi, 334 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
490 1# - SERIES STATEMENT
სერიის ცნობა Cambridge tracts in mathematics ;
Volume number/sequential designation 138
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Ch. I. The type problem -- Ch. II. The spectral radius -- Ch. III. The asymptotic behaviour of transition probabilities -- Ch. IV. An introduction to topological boundary theory.
520 ## - SUMMARY, ETC.
Summary, etc The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case, of a finitely generated group. The transition probabilities are assumed to be adapted to the underlying structure in some way that must be specified precisely in each case. From the probabilistic viewpoint, the question is what impact the particular type of structure has on various aspects of the behaviour of the random walk. Vice-versa, random walks may also be seen as useful tools for classifying, or at least describing the structure of graphs and groups. Links with spectral theory and discrete potential theory are also discussed. This book will be essential reading for all researchers working in stochastic process and related topics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Random walks (Mathematics)
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Graph theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Infinite groups.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9780521552929
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Cambridge tracts in mathematics ;
Volume number/sequential designation 138.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9780511470967">https://doi.org/10.1017/CBO9780511470967</a>

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