Sinopsis
The theory of large deviations deals with rates at which probabilities of certain events decay as a natural parameter in the problem varies. This book, which is based on a graduate course on large deviations at the Courant Institute, focuses on three concrete sets of examples: (i) diffusions with small noise and the exit problem, (ii) large time behavior of Markov processes and their connection to the Feynman-Kac formula and the related large deviation behavior of the number of distinct sites visited by a random walk, and (iii) interacting particle systems, their scaling limits, and large deviations from their expected limits. For the most part the examples are worked out in detail, and in the process the subject of large deviations is developed.
The book will give the reader a flavor of how large deviation theory can help in problems that are not posed directly in terms of large deviations. The reader is assumed to have some familiarity with probability, Markov processes, and interacting particle systems.
"Sinopsis" puede pertenecer a otra edición de este libro.
Acerca del autor
S.R.S. Varadhan, Courant Institute of Mathematical Sciences, New York, NY.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Large Deviations (Courant Lecture Notes) (Courant Lecture Notes in Mathematics)
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American Mathematical Society, 2016
ISBN 10: 082184086X
ISBN 13: 9780821840863
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Large Deviations (Courant Lecture Notes) (Courant Lecture Notes in Mathematics)
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ISBN 13: 9780821840863
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Large Deviations
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ISBN 13: 9780821840863
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Paperback. Condición: New. The theory of large deviations deals with rates at which probabilities of certain events decay as a natural parameter in the problem varies. This book, which is based on a graduate course on large deviations at the Courant Institute, focuses on three concrete sets of examples: (i) diffusions with small noise and the exit problem, (ii) large time behavior of Markov processes and their connection to the Feynman-Kac formula and the related large deviation behavior of the number of distinct sites visited by a random walk, and (iii) interacting particle systems, their scaling limits, and large deviations from their expected limits. For the most part the examples are worked out in detail, and in the process the subject of large deviations is developed.The book will give the reader a flavor of how large deviation theory can help in problems that are not posed directly in terms of large deviations. The reader is assumed to have some familiarity with probability, Markov processes, and interacting particle systems. Nº de ref. del artículo: LU-9780821840863
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ISBN 13: 9780821840863
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Condición: New. "Courant Institute of Mathematical Sciences." Series: Courant Lecture Notes. Num Pages: 104 pages. BIC Classification: PBT; PBWL. Category: (G) General (US: Trade). Dimension: 254 x 178. . . 2016. Paperback. . . . . Nº de ref. del artículo: V9780821840863
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Large Deviations (Paperback)
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Paperback. Condición: new. Paperback. The theory of large deviations deals with rates at which probabilities of certain events decay as a natural parameter in the problem varies. This book, which is based on a graduate course on large deviations at the Courant Institute, focuses on three concrete sets of examples: (i) diffusions with small noise and the exit problem, (ii) large time behavior of Markov processes and their connection to the Feynman-Kac formula and the related large deviation behavior of the number of distinct sites visited by a random walk, and (iii) interacting particle systems, their scaling limits, and large deviations from their expected limits. For the most part the examples are worked out in detail, and in the process the subject of large deviations is developed.The book will give the reader a flavor of how large deviation theory can help in problems that are not posed directly in terms of large deviations. The reader is assumed to have some familiarity with probability, Markov processes, and interacting particle systems. "Courant Institute of Mathematical Sciences." Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9780821840863
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LARGE DEVIATIONS (eng)
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American Mathematical Society, 2016
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ISBN 13: 9780821840863
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