Sinopsis
Focusing on a number of problems related to the intersection of random walks and the self-avoiding walk. Many of these problems arise in studying statistical physics and other critical phenomena. Topics covered include: discrete harmonic measure; the probability that independent random walks do not intersect; and properties of walks without self-intersections. With the inclusion of a self-contained introduction to the properties of simple random walks, and an emphasis on rigorous results, this text should be of use to researchers in probability and statistical physics, and to graduate students interested in basic properties of random walk.
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Críticas
"Much of the material is Lawler’s own research, so he knows his story thoroughly and tells it well."
―SIAM Review
Reseña del editor
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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Intersections of Random Walks (Probability and Its Applications)
Publicado por
Birkhäuser, 1996
ISBN 10: 081763892X
ISBN 13: 9780817638924
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Soft cover. Condición: Good. No Jacket. Reprint. Octavo in stiff paper covers. Condition: ex-library copy with library markings; spine sun-faded; minor damage to front cover; last free endpaper missing; else good. 223 pages. Nº de ref. del artículo: 304455A
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INTERSECTIONS OF RANDOM WALKS
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Birkhauser, Boston & Basel, 1996
ISBN 10: 081763892X
ISBN 13: 9780817638924
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Softcover. Octavo, 223 pages. In very good condition. Green spine with white lettering. Full binding in green paper. Boards show modest shelf wear and minor fraying to corners. Text block clean. Note: Shelved in Netdesk Column F, ND-F. 1377820. FP New Rockville Stock. Nº de ref. del artículo: 1377820
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Intersections of Random Walks (Probability and Its Applications (duplicate))
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Intersections of Random Walks
Publicado por
Birkhäuser Boston Aug 1996, 1996
ISBN 10: 081763892X
ISBN 13: 9780817638924
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9780817638924
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Intersections of Random Walks
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Birkhauser Boston Inc, 1996
ISBN 10: 081763892X
ISBN 13: 9780817638924
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Condición: 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. . . . . Nº de ref. del artículo: V9780817638924
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Intersections of Random Walks
Publicado por
Birkhauser Boston Inc, 1996
ISBN 10: 081763892X
ISBN 13: 9780817638924
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Condición: 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. Nº de ref. del artículo: V9780817638924
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Intersections of Random Walks
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Condición: 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 . Nº de ref. del artículo: 66944814
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Intersections of Random Walks
Publicado por
Birkhäuser, Birkhäuser Aug 1996, 1996
ISBN 10: 081763892X
ISBN 13: 9780817638924
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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: 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. Nº de ref. del artículo: 9780817638924
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Intersections of Random Walks
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ISBN 10: 081763892X
ISBN 13: 9780817638924
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9780817638924
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Intersections of Random Walks
Publicado por
Birkhäuser Boston, 1996
ISBN 10: 081763892X
ISBN 13: 9780817638924
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Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: 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. Nº de ref. del artículo: 525168/202
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