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Book Synopsis
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.

Nonconventional Limit Theorems And Random

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A Hardback by Yeor Hafouta, Yuri Kifer

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    View other formats and editions of Nonconventional Limit Theorems And Random by Yeor Hafouta

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 30/05/2018
    ISBN13: 9789813235007, 978-9813235007
    ISBN10: 9813235004
    Also in:
    Stochastics

    Description

    Book Synopsis
    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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