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Dynamics and Analytic Number Theory

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Release : 2016-11-10
Genre : Mathematics
Kind : eBook
Book Rating : 370/5 ( reviews)

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Book Synopsis Dynamics and Analytic Number Theory by : Dzmitry Badziahin

Download or read book Dynamics and Analytic Number Theory written by Dzmitry Badziahin. This book was released on 2016-11-10. Available in PDF, EPUB and Kindle. Book excerpt: Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.

Dynamics and Analytic Number Theory

Download Dynamics and Analytic Number Theory PDF Online Free

Author :
Release : 2016
Genre : Analytic functions
Kind : eBook
Book Rating : 732/5 ( reviews)

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Book Synopsis Dynamics and Analytic Number Theory by : Dzmitry Badziahin

Download or read book Dynamics and Analytic Number Theory written by Dzmitry Badziahin. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt:

Number Theory and Dynamical Systems

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Release : 1989-11-09
Genre : Mathematics
Kind : eBook
Book Rating : 193/5 ( reviews)

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Book Synopsis Number Theory and Dynamical Systems by : M. M. Dodson

Download or read book Number Theory and Dynamical Systems written by M. M. Dodson. This book was released on 1989-11-09. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected contributions from a very successful meeting on Number Theory and Dynamical Systems held at the University of York in 1987. There are close and surprising connections between number theory and dynamical systems. One emerged last century from the study of the stability of the solar system where problems of small divisors associated with the near resonance of planetary frequencies arose. Previously the question of the stability of the solar system was answered in more general terms by the celebrated KAM theorem, in which the relationship between near resonance (and so Diophantine approximation) and stability is of central importance. Other examples of the connections involve the work of Szemeredi and Furstenberg, and Sprindzuk. As well as containing results on the relationship between number theory and dynamical systems, the book also includes some more speculative and exploratory work which should stimulate interest in different approaches to old problems.

Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics

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Release : 2018-06-15
Genre : Mathematics
Kind : eBook
Book Rating : 080/5 ( reviews)

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Book Synopsis Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics by : Sébastien Ferenczi

Download or read book Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics written by Sébastien Ferenczi. This book was released on 2018-06-15. Available in PDF, EPUB and Kindle. Book excerpt: This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak's conjecture on Möbius disjointness. Selected topics involving more traditional connections between number theory and dynamics are also presented, including equidistribution, homogenous dynamics, and Lagrange and Markov spectra. In addition, some dynamical and number theoretical aspects of aperiodic order, some algebraic systems, and a recent development concerning tame systems are described.

Dynamics and Analytic Number Theory

Download Dynamics and Analytic Number Theory PDF Online Free

Author :
Release : 2016
Genre : Analytic functions
Kind : eBook
Book Rating : 855/5 ( reviews)

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Book Synopsis Dynamics and Analytic Number Theory by : Dmitry A. Badziahin

Download or read book Dynamics and Analytic Number Theory written by Dmitry A. Badziahin. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt: Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.

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