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 Poincar??? 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 ...
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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 Poincar??? 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.
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Add this copy of Random Walks and Heat Kernels on Graphs to cart. $73.92, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2017 by Cambridge University Press.
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New. Trade paperback (US). Contains: Line drawings, black & white, Unspecified. London Mathematical Society Lecture Note Series . 5 b/w illus. 8 exercises. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. Trade paperback (US). Contains: Line drawings, black & white, Unspecified. London Mathematical Society Lecture Note Series . 5 b/w illus. 8 exercises. Intended for professional and scholarly audience.
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New. Trade paperback (US). Contains: Line drawings, black & white, Unspecified. London Mathematical Society Lecture Note Series . 5 b/w illus. 8 exercises. Intended for professional and scholarly audience.
Add this copy of Random Walks and Heat Kernels on Graphs (London to cart. $160.13, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2017 by Cambridge University Press.
