Articles liés à Random Walks and Heat Kernels on Graphs
Synopsis
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.
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À propos de l?auteur
Martin T. Barlow is Professor in the Mathematics Department at the University of British Columbia. He was one of the founders of the mathematical theory of diffusions on fractals, and more recently has worked on random walks on random graphs. He gave a talk at the International Congress of Mathematicians (ICM) in 1990, and was elected a Fellow of the Royal Society of Canada in 1998 and a Fellow of the Royal Society in 2005. He is the winner of the Jeffrey-Williams Prize of the Canadian Mathematical Society and the CRM-Fields-PIMS Prize of the three Canadian mathematics institutes (the Centre de recherches mathématiques, the Fields Institute, and the Pacific Institute for the Mathematical Sciences).
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Random Walks and Heat Kernels on Graphs (London Mathematical Society Lecture Note Series 438)
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Cambridge University Press, 2017
ISBN 10 : 1107674425
ISBN 13 : 9781107674424
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RANDOM WALKS AND HEAT KERNELS ON GRAPHS
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Cambridge University Press, 2017
ISBN 10 : 1107674425
ISBN 13 : 9781107674424
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Random Walks and Heat Kernels on Graphs (London Mathematical Society Lecture Note Series, Series Number 438)
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Cambridge University Press, 2017
ISBN 10 : 1107674425
ISBN 13 : 9781107674424
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Random Walks and Heat Kernels on Graphs (London Mathematical Society Lecture Note Series)
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ISBN 13 : 9781107674424
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Random Walks and Heat Kernels on Graphs
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ISBN 10 : 1107674425
ISBN 13 : 9781107674424
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Random Walks and Heat Kernels on Graphs
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ISBN 10 : 1107674425
ISBN 13 : 9781107674424
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Random Walks and Heat Kernels on Graphs (London Mathematical Society Lecture Note Series, Series Number 438)
Edité par
Cambridge University Press, 2017
ISBN 10 : 1107674425
ISBN 13 : 9781107674424
Neuf
Couverture souple
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Random Walks and Heat Kernels on Graphs
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ISBN 10 : 1107674425
ISBN 13 : 9781107674424
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Vendeur : Rarewaves.com UK, London, Royaume-Uni
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Paperback. Etat : New. 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. N° de réf. du vendeur LU-9781107674424
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Random Walks and Heat Kernels on Graphs
Edité par
Cambridge University Press, GB, 2017
ISBN 10 : 1107674425
ISBN 13 : 9781107674424
Neuf
Paperback
Vendeur : Rarewaves.com USA, London, LONDO, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : New. 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. N° de réf. du vendeur LU-9781107674424
Quantité disponible : Plus de 20 disponibles