Nonconventional limit theorems and random dynamics

Yeor Hafouta*, Yuri Kifer

*Corresponding author for this work

Research output: Book/ReportBookpeer-review

31 Scopus citations

Abstract

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.

Original languageEnglish
PublisherWorld Scientific Publishing Co. Pte Ltd
Number of pages284
ISBN (Electronic)9789813235014
ISBN (Print)9789813235007
DOIs
StatePublished - 5 Apr 2018

Bibliographical note

Publisher Copyright:
© 2018 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.

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