Nonconventional limit theorems and random dynamics

By:

Hafouta, Yeor

Contributor(s):

Kifer, Yuri [Co-author]

Material type: Text

TextPublication details: World Scientific London 2018Description: xiii, 284 pISBN:

9789813235007

Subject(s):

DDC classification:

519.2 H2N6

Summary: 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. https://www.worldscientific.com/worldscibooks/10.1142/10849

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Book	Ahmedabad	Non-fiction	519.2 H2N6 (Browse shelf(Opens below))	Available		197713

Total holds: 0

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.

https://www.worldscientific.com/worldscibooks/10.1142/10849

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