Nonconventional Limit Theorems And Random Dynamics

Download or read book Nonconventional Limit Theorems And Random Dynamics written by Yeor Hafouta and published by World Scientific. This book was released on 2018-04-09 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.