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

      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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