Nonconventional Limit Theorems and Random Dynamics

Nonfiction, Science & Nature, Mathematics, Probability, Statistics
Cover of the book Nonconventional Limit Theorems and Random Dynamics by Yeor Hafouta, Yuri Kifer, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Yeor Hafouta, Yuri Kifer ISBN: 9789813235021
Publisher: World Scientific Publishing Company Publication: April 5, 2018
Imprint: WSPC Language: English
Author: Yeor Hafouta, Yuri Kifer
ISBN: 9789813235021
Publisher: World Scientific Publishing Company
Publication: April 5, 2018
Imprint: WSPC
Language: English

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.

Contents:

  • Nonconventional Limit Theorems:

    • Stein's Method for Nonconventional Sums
    • Local Limit Theorem
    • Nonconventional Arrays
    • Random Transformations
  • Thermodynamic Formalism for Random Complex Operators:

    • Ruelle–Perron–Frobenius Theorem via Cone Contractions
    • Application to Random Locally Expanding Covering Maps
    • Pressure, Asymptotic Variance and Complex Gibbs Measures
    • Application to Random Complex Integral Operators
    • Fiberwise Limit Theorems

Readership: Advanced graduate students and researchers in probability theory and stochastic processes and dynamical systems and ergodic theory.
Key Features:

  • The results in the book are new and never appeared before, Prof. Yuri Kifer is a well-known researcher in probability and dynamical systems, he published several books and more than 130 papers and he initiated the research on nonconventional limit theorems in the last decade
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

Contents:

Readership: Advanced graduate students and researchers in probability theory and stochastic processes and dynamical systems and ergodic theory.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Econometric Models for Industrial Organization by Yeor Hafouta, Yuri Kifer
Cover of the book Handbook of Pattern Recognition and Computer Vision by Yeor Hafouta, Yuri Kifer
Cover of the book Flexoelectricity in Solids by Yeor Hafouta, Yuri Kifer
Cover of the book Singapore's Fiscal Strategies for Growth by Yeor Hafouta, Yuri Kifer
Cover of the book Impossible Minds by Yeor Hafouta, Yuri Kifer
Cover of the book Super Golfonomics by Yeor Hafouta, Yuri Kifer
Cover of the book The Human Face of Computing by Yeor Hafouta, Yuri Kifer
Cover of the book Supersymmetric Quantum Mechanics by Yeor Hafouta, Yuri Kifer
Cover of the book 50 Years of Environment by Yeor Hafouta, Yuri Kifer
Cover of the book Managing Customer Relationships and Building Loyalty by Yeor Hafouta, Yuri Kifer
Cover of the book Financing Universal Access to Healthcare by Yeor Hafouta, Yuri Kifer
Cover of the book Stochastic Processes, Finance and Control by Yeor Hafouta, Yuri Kifer
Cover of the book Advanced Signal Processing on Brain Event-Related Potentials by Yeor Hafouta, Yuri Kifer
Cover of the book Nature's Longest Threads by Yeor Hafouta, Yuri Kifer
Cover of the book Probability and Statistical Theory for Applied Researchers by Yeor Hafouta, Yuri Kifer
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy