Synopsis
A more accurate title for this book would be "Problems dealing with the non-intersection of paths of random walks. " These include: harmonic measure, which can be considered as a problem of nonintersection of a random walk with a fixed set; the probability that the paths of independent random walks do not intersect; and self-avoiding walks, i. e. , random walks which have no self-intersections. The prerequisite is a standard measure theoretic course in probability including martingales and Brownian motion. The first chapter develops the facts about simple random walk that will be needed. The discussion is self-contained although some previous expo sure to random walks would be helpful. Many of the results are standard, and I have made borrowed from a number of sources, especially the ex cellent book of Spitzer [65]. For the sake of simplicity I have restricted the discussion to simple random walk. Of course, many of the results hold equally well for more general walks. For example, the local central limit theorem can be proved for any random walk whose increments have mean zero and finite variance. Some of the later results, especially in Section 1. 7, have not been proved for very general classes of walks. The proofs here rely heavily on the fact that the increments of simple random walk are bounded and symmetric.
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"Much of the material is Lawler’s own research, so he knows his story thoroughly and tells it well."
―SIAM Review
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Intersections of Random Walks (Probability and Its Applications)
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INTERSECTIONS OF RANDOM WALKS
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Intersections of Random Walks
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A more accurate title for this book would be 'Problems dealing with the non-intersection of paths of random walks. ' These include: harmonic measure, which can be considered as a problem of nonintersection of a random walk with a fixed set; the probability that the paths of independent random walks do not intersect; and self-avoiding walks, i. e. , random walks which have no self-intersections. The prerequisite is a standard measure theoretic course in probability including martingales and Brownian motion. The first chapter develops the facts about simple random walk that will be needed. The discussion is self-contained although some previous expo sure to random walks would be helpful. Many of the results are standard, and I have made borrowed from a number of sources, especially the ex cellent book of Spitzer [65]. For the sake of simplicity I have restricted the discussion to simple random walk. Of course, many of the results hold equally well for more general walks. For example, the local central limit theorem can be proved for any random walk whose increments have mean zero and finite variance. Some of the later results, especially in Section 1. 7, have not been proved for very general classes of walks. The proofs here rely heavily on the fact that the increments of simple random walk are bounded and symmetric. 232 pp. Englisch. Seller Inventory # 9780817638924
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Intersections of Random Walks
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Condition: New. Focusing on a number of problems related to the intersection of random walks and the self-avoiding walk, this text covers such topics as: discrete harmonic measure; the probability that independent random walks do not intersect; and properties of walks without self-intersections. Series: Probability and its Applications. Num Pages: 229 pages, biography. BIC Classification: PBT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 279 x 210 x 12. Weight in Grams: 337. . 1996. Paperback. . . . . Seller Inventory # V9780817638924
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Intersections of Random Walks
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Condition: New. Focusing on a number of problems related to the intersection of random walks and the self-avoiding walk, this text covers such topics as: discrete harmonic measure; the probability that independent random walks do not intersect; and properties of walks without self-intersections. Series: Probability and its Applications. Num Pages: 229 pages, biography. BIC Classification: PBT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 279 x 210 x 12. Weight in Grams: 337. . 1996. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780817638924
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Intersections of Random Walks
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A more accurate title for this book would be Problems dealing with the non-intersection of paths of random walks. These include: harmonic measure, which can be considered as a problem of nonintersection of a random walk with a fixed set the probability . Seller Inventory # 66944814
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Intersections of Random Walks
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ISBN 10: 081763892X
ISBN 13: 9780817638924
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -A more accurate title for this book would be 'Problems dealing with the non-intersection of paths of random walks. ' These include: harmonic measure, which can be considered as a problem of nonintersection of a random walk with a fixed set; the probability that the paths of independent random walks do not intersect; and self-avoiding walks, i. e. , random walks which have no self-intersections. The prerequisite is a standard measure theoretic course in probability including martingales and Brownian motion. The first chapter develops the facts about simple random walk that will be needed. The discussion is self-contained although some previous expo sure to random walks would be helpful. Many of the results are standard, and I have made borrowed from a number of sources, especially the ex cellent book of Spitzer [65]. For the sake of simplicity I have restricted the discussion to simple random walk. Of course, many of the results hold equally well for more general walks. For example, the local central limit theorem can be proved for any random walk whose increments have mean zero and finite variance. Some of the later results, especially in Section 1. 7, have not been proved for very general classes of walks. The proofs here rely heavily on the fact that the increments of simple random walk are bounded and symmetric.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 232 pp. Englisch. Seller Inventory # 9780817638924
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Intersections of Random Walks
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - A more accurate title for this book would be 'Problems dealing with the non-intersection of paths of random walks. ' These include: harmonic measure, which can be considered as a problem of nonintersection of a random walk with a fixed set; the probability that the paths of independent random walks do not intersect; and self-avoiding walks, i. e. , random walks which have no self-intersections. The prerequisite is a standard measure theoretic course in probability including martingales and Brownian motion. The first chapter develops the facts about simple random walk that will be needed. The discussion is self-contained although some previous expo sure to random walks would be helpful. Many of the results are standard, and I have made borrowed from a number of sources, especially the ex cellent book of Spitzer [65]. For the sake of simplicity I have restricted the discussion to simple random walk. Of course, many of the results hold equally well for more general walks. For example, the local central limit theorem can be proved for any random walk whose increments have mean zero and finite variance. Some of the later results, especially in Section 1. 7, have not been proved for very general classes of walks. The proofs here rely heavily on the fact that the increments of simple random walk are bounded and symmetric. Seller Inventory # 9780817638924
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Intersections of Random Walks
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Condition: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | A more accurate title for this book would be "Problems dealing with the non-intersection of paths of random walks. " These include: harmonic measure, which can be considered as a problem of nonintersection of a random walk with a fixed set; the probability that the paths of independent random walks do not intersect; and self-avoiding walks, i. e. , random walks which have no self-intersections. The prerequisite is a standard measure theoretic course in probability including martingales and Brownian motion. The first chapter develops the facts about simple random walk that will be needed. The discussion is self-contained although some previous expo sure to random walks would be helpful. Many of the results are standard, and I have made borrowed from a number of sources, especially the ex cellent book of Spitzer [65]. For the sake of simplicity I have restricted the discussion to simple random walk. Of course, many of the results hold equally well for more general walks. For example, the local central limit theorem can be proved for any random walk whose increments have mean zero and finite variance. Some of the later results, especially in Section 1. 7, have not been proved for very general classes of walks. The proofs here rely heavily on the fact that the increments of simple random walk are bounded and symmetric. Seller Inventory # 525168/202
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