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| fixed length control field |
a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
200616b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781107674424 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
511.5 |
| Item number |
BAR |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Barlow, Martin T. |
| 245 ## - TITLE STATEMENT |
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| Title |
Random walks and heat kernels on graphs |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Cambridge University Press |
| Date of publication, distribution, etc |
2017 |
| Place of publication, distribution, etc |
United Kingdom |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xi, 226 p. |
| Dimensions |
23 cm. |
| 365 ## - TRADE PRICE |
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| Price amount |
50.99 |
| Price type code |
GBP |
| Unit of pricing |
98.20 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
London Mathematical Society lecture note series |
| Volume number/sequential designation |
438 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index |
| 520 ## - SUMMARY, ETC. |
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| 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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Graph theory |
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| Topical term or geographic name as entry element |
Heat equation |
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| Topical term or geographic name as entry element |
Markov processes |
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| Topical term or geographic name as entry element |
Heat kernel |
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| Topical term or geographic name as entry element |
Electrical resistance |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
|
| Item type |
Books |