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Book
Predel'nye teoremy o bol'ših uklonenijah: : monografija
Authors: ---
ISBN: 5420006383 9785420006382 Year: 1989 Publisher: Vilnius: Mokslas,

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Multi
Branching processes with continuous state space
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ISBN: 9061961882 9789061961888 Year: 1979 Volume: 117 Publisher: Amsterdam: Mathematisch centrum,

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Book
Probability measures on metric spaces
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ISBN: 0125459505 9780125459501 Year: 1972 Volume: 3 Publisher: New York (N.Y.): Academic press,

Large deviations and metastability
Authors: ---
ISBN: 9780511543272 9780521591638 0511080646 9780511080647 0511079885 9780511079887 0511543271 0521591635 1280417188 9781280417184 0521591635 1107127424 9786610417186 051117070X 0511206674 0511297858 Year: 2005 Volume: 100 Publisher: New York: Cambridge university press,

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Abstract

The book provides a general introduction to the theory of large deviations and a wide overview of the metastable behaviour of stochastic dynamics. With only minimal prerequisites, the book covers all the main results and brings the reader to the most recent developments. Particular emphasis is given to the fundamental Freidlin-Wentzell results on small random perturbations of dynamical systems. Metastability is first described on physical grounds, following which more rigorous approaches to its description are developed. Many relevant examples are considered from the point of view of the so-called pathwise approach. The first part of the book develops the relevant tools including the theory of large deviations which are then used to provide a physically relevant dynamical description of metastability. Written to be accessible to graduate students, this book provides an excellent route into contemporary research.

Independent and stationary sequences of random variables
Authors: --- ---
ISBN: 9001418856 9789001418854 Year: 1971 Publisher: Groningen: Wolters-Noordhoff,


Book
Lecture notes on limit theorems for Markov chain transition probabilities
Author:
ISBN: 0442062990 9780442062996 Year: 1971 Volume: 34 Publisher: London: Van Nostrand Reinhold,

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