NONCONVENTIONAL LIMIT THEOREMS AND RANDOM DYNAMICS

NONCONVENTIONAL LIMIT THEOREMS AND RANDOM DYNAMICS

Forfatter: Yeor Hafouta, Yuri Kifer
Forlag: World Scientific Publishing Company
Utgivelsesår: 2018
ISBN: 9789813235007

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The book is devoted to limit theorems for nonconventional sums and arrays. Asymptotic behavior of such sums were first studied in ergodic theory but recently it turned out that main limit theorems of probability theory, such as central, local and Poisson limit theorems can also be obtained for such expressions. In order to obtain sufficiently general local limit theorem, we develop also thermodynamic formalism type results for random complex operators, which is one of the novelties of the book.

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