Dynamics and Analytic Number Theory

Dynamics and Analytic Number Theory

Cambridge | English | November 2016 | ISBN-10: 1107552370 | 340 Pages | PDF | 2.96 mb

by Dzmitry Badziahin (Editor), Alexander Gorodnik (Editor), Norbert Peyerimhoff (Editor)

Written by leading experts, this book explores several directions of current research at the interface between dynamics and analytic number theory. Topics include Diophantine approximation, exponential sums, Ramsey theory, ergodic theory and homogeneous dynamics. The origins of this material lie in the 'Dynamics and Analytic Number Theory' Easter School held at Durham University in 2014. Key concepts, cutting-edge results, and modern techniques that play an essential role in contemporary research are presented in a manner accessible to young researchers, including PhD students. This book will also be useful for established mathematicians. The areas discussed include ubiquitous systems and Cantor-type sets in Diophantine approximation, flows on nilmanifolds and their connections with exponential sums, multiple recurrence and Ramsey theory, counting and equidistribution problems in homogeneous dynamics, and applications of thin groups in number theory. Both dynamical and 'classical' approaches towards number theoretical problems are also provided.

About the Author
Dzmitry Badziahin is a Reader in the Department of Mathematical Sciences at Durham University. His research interests lie in Diophantine approximation and related areas of ergodic theory, dynamic systems and combinatorics of words.

Alexander Gorodnik is a Professor of Mathematics at the University of Bristol. His research interests are in the theory of dynamical systems and its connections with other branches of mathematics such as number theory, geometry and representation theory.

Norbert Peyerimhoff is a Professor of Mathematics at the University of Durham. His research interests lie at the interface between analysis, dynamical systems, discrete geometry and Riemannian geometry.



[Fast Download] Dynamics and Analytic Number Theory

Ebooks related to "Dynamics and Analytic Number Theory" :
Geometry Demystified
Understanding Maple
Stochastic Analysis: It? and Malliavin Calculus in Tandem
Gaussian Processes on Trees: From Spin Glasses to Branching Brownian Motion
McGraw-Hill Education Conquering GRE Math, Third Edition
The Connectives
Analysis in Beispielen und Gegenbeispielen
Origami 5: Fifth International Meeting of Origami Science, Mathematics, and Education
Control Theory from the Geometric Viewpoint
Selected Works of Oded Schramm (Selected Works in Probability and Statistics)
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.