Nonconventional Limit Theorems And Random Dynamics

ISBN: 9789813235007 出版年：2018 页码：299 Kifer Yuri World Scientific Publishing Company

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.