Nonconventional Limit Theorems And Random Dynamics

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A01=Yeor Hafouta
A01=Yuri Kifer
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Author_Yeor Hafouta
Author_Yuri Kifer
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Category1=Non-Fiction
Category=PBWL
Central
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Dynamical Systems
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Language_English
Limit Theorems
Local and Poisson Limit Theorems
Martingale Approximation
Nonconventional Arrays
Nonconventional Sums
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Stein's Method
Stochastic Processes
Strong Law of Large Numbers
Thermodynamic Formalism

Product details

  • ISBN 9789813235007
  • Publication Date: 30 May 2018
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
  • Language: English
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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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