Intersections of Random Walks (Probability and Its Applications)

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9780817638924: Intersections of Random Walks (Probability and Its Applications)
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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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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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1.

Gregory F. Lawler
Editorial: BIRKHAUSER BOSTON INC, United States (2007)
ISBN 10: 081763892X ISBN 13: 9780817638924
Nuevos Paperback Cantidad: 1
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Descripción BIRKHAUSER BOSTON INC, United States, 2007. Paperback. Estado de conservación: New. 1991 ed.. 231 x 155 mm. Language: English . Brand New Book. 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. de la librería LIB9780817638924

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Gregory F. Lawler
Editorial: Birkhauser Boston Inc 1996-08-28, Secaucus (1996)
ISBN 10: 081763892X ISBN 13: 9780817638924
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Descripción Birkhauser Boston Inc 1996-08-28, Secaucus, 1996. paperback. Estado de conservación: New. Nº de ref. de la librería 9780817638924

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Gregory F. Lawler
Editorial: BIRKHAUSER BOSTON INC, United States (2007)
ISBN 10: 081763892X ISBN 13: 9780817638924
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Descripción BIRKHAUSER BOSTON INC, United States, 2007. Paperback. Estado de conservación: New. 1991 ed.. 231 x 155 mm. Language: English . Brand New Book. 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. de la librería LIB9780817638924

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Lawler, Gregory F.
Editorial: Birkhauser (1996)
ISBN 10: 081763892X ISBN 13: 9780817638924
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English-Book-Service Mannheim
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Descripción Birkhauser, 1996. Estado de conservación: New. Nº de ref. de la librería L9780817638924

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5.

Gregory F. Lawler
Editorial: Springer-Verlag Gmbh Feb 2007 (2007)
ISBN 10: 081763892X ISBN 13: 9780817638924
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Descripción Springer-Verlag Gmbh Feb 2007, 2007. Taschenbuch. Estado de conservación: Neu. 235x160x20 mm. 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. 236 pp. Englisch. Nº de ref. de la librería 9780817638924

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6.

Gregory, F. Lawler
Editorial: Birkhauser (1996)
ISBN 10: 081763892X ISBN 13: 9780817638924
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Revaluation Books
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Descripción Birkhauser, 1996. Paperback. Estado de conservación: Brand New. 1st edition. 223 pages. 9.50x6.25x0.50 inches. In Stock. Nº de ref. de la librería __081763892X

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7.

Lawler, Gregoyr
Editorial: Birkhäuser (1996)
ISBN 10: 081763892X ISBN 13: 9780817638924
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Irish Booksellers
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Descripción Birkhäuser, 1996. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 081763892X

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Gregory F. Lawler
Editorial: Springer-Verlag Gmbh Feb 2007 (2007)
ISBN 10: 081763892X ISBN 13: 9780817638924
Nuevos Taschenbuch Cantidad: 2
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Rheinberg-Buch
(Bergisch Gladbach, Alemania)
Valoración
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Descripción Springer-Verlag Gmbh Feb 2007, 2007. Taschenbuch. Estado de conservación: Neu. 235x160x20 mm. 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. 236 pp. Englisch. Nº de ref. de la librería 9780817638924

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9.

Gregory F. Lawler
Editorial: Springer-Verlag Gmbh Feb 2007 (2007)
ISBN 10: 081763892X ISBN 13: 9780817638924
Nuevos Taschenbuch Cantidad: 2
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Agrios-Buch
(Bergisch Gladbach, Alemania)
Valoración
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Descripción Springer-Verlag Gmbh Feb 2007, 2007. Taschenbuch. Estado de conservación: Neu. 235x160x20 mm. 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. 236 pp. Englisch. Nº de ref. de la librería 9780817638924

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10.

Gregory F. Lawler
Editorial: Birkhäuser Boston (1996)
ISBN 10: 081763892X ISBN 13: 9780817638924
Nuevos Paperback Cantidad: 1
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Ergodebooks
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Descripción Birkhäuser Boston, 1996. Paperback. Estado de conservación: New. Nº de ref. de la librería SONG081763892X

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