Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs.
"synopsis" may belong to another edition of this title.
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).
"About this title" may belong to another edition of this title.
£ 2.95 shipping within United Kingdom
Destination, rates & speedsSeller: Prior Books Ltd, Cheltenham, United Kingdom
Paperback. Condition: Like New. First Edition. Firm, square and tight with strong joints and sharp corners, just a non-text page stamped 'damaged' due to some hardly noticeable shelf wear. Despite such this book is actually in nearly condition: fresh, crisp and clean with no defects. Thus a nice copy in great shape offered for sale at a bargain price. Seller Inventory # 115602
Quantity: 1 available
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Condition: New. Seller Inventory # 27726227-n
Quantity: Over 20 available
Seller: Chiron Media, Wallingford, United Kingdom
Paperback. Condition: New. Seller Inventory # 6666-IUK-9781107674424
Quantity: 10 available
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Condition: New. In. Seller Inventory # ria9781107674424_new
Quantity: Over 20 available
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 350. Seller Inventory # C9781107674424
Quantity: Over 20 available
Seller: CitiRetail, Stevenage, United Kingdom
Paperback. Condition: new. Paperback. 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 Poincare 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. This introduction to random walks on infinite graphs, in both discrete and continuous time, gives a systematic account of transition densities, including useful but hard-to-find results. The book is aimed at researchers and graduate students in mathematics who have a basic familiarity with analysis and some familiarity with probability. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781107674424
Quantity: 1 available
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Condition: As New. Unread book in perfect condition. Seller Inventory # 27726227
Quantity: Over 20 available
Seller: Revaluation Books, Exeter, United Kingdom
Paperback. Condition: Brand New. 226 pages. 8.75x6.00x0.75 inches. In Stock. This item is printed on demand. Seller Inventory # __1107674425
Quantity: 1 available
Seller: Rarewaves.com UK, London, United Kingdom
Paperback. Condition: 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. Seller Inventory # LU-9781107674424
Quantity: Over 20 available
Seller: California Books, Miami, FL, U.S.A.
Condition: New. Seller Inventory # I-9781107674424
Quantity: Over 20 available