Random walks and heat kernels on graphs (Record no. 208859)

000 -LEADER
fixed length control field cam a22 8i 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 161107s2017 enk b 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781107674424
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 511.5
Item number B2R2
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Barlow, M. T.
9 (RLIN) 359632
245 ## - TITLE STATEMENT
Title Random walks and heat kernels on graphs
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc United Kingdom
Name of publisher, distributor, etc Cambridge University Press
Date of publication, distribution, etc 2017
300 ## - PHYSICAL DESCRIPTION
Extent xi, 226 p.
490 ## - SERIES STATEMENT
Series statement London Mathematical Society lecture note series : 438
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
520 ## - SUMMARY, ETC.
Summary, etc This introduction to random walks on infinite graphs gives particular emphasis to graphs with polynomial volume growth. It offers an overview of analytic methods, starting with the connection between random walks and electrical resistance, and then proceeding to study the use of isoperimetric and Poincaré inequalities. The book presents rough isometries and looks at the properties of a graph that are stable under these transformations. Applications include the 'type problem': determining whether a graph is transient or recurrent. The final chapters show how geometric properties of the graph can be used to establish heat kernel bounds, that is, bounds on the transition probabilities of the random walk, and it is proved that Gaussian bounds hold for graphs that are roughly isometric to Euclidean space. Aimed at graduate students in mathematics, the book is also useful for researchers as a reference for results that are hard to find elsewhere.<br/><br/><br/>https://www.cambridge.org/core/books/random-walks-and-heat-kernels-on-graphs/5B375D343025BCE91C682D49CDDB3A1A#fndtn-information
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Random walks - Mathematics
9 (RLIN) 359633
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Graph theory
9 (RLIN) 359634
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Markov processes
9 (RLIN) 359635
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Heat equation
9 (RLIN) 359636
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Permanent location Current location Shelving location Date acquired Source of acquisition Cost, normal purchase price Item location Full call number Barcode Date last seen Cost, replacement price Koha item type
          Non-fiction Vikram Sarabhai Library Vikram Sarabhai Library General Stacks 07/03/2018 12 3728.00 Slot 1356 (0 Floor, East Wing) 511.5 B2R2 196392 07/03/2018 4660.00 Books

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