Dynamics and analytic number theory : proceedings of the Durham Easter School 2014 [EBook] / edited by Dzmitry Badziahin, University of Durham, Alexander Gorodnik, University of Bristol, Norbert Peyerimhoff, University of Durham.
Dynamics and analytic number theory : proceedings of the Durham Easter School 2014 [EBook] / edited by Dzmitry Badziahin, University of Durham, Alexander Gorodnik, University of Bristol, Norbert Peyerimhoff, University of Durham.
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...
Personal Name(s):  Badziahin, Dmitry, (editor) 

Gorodnik, Alexander, (editor) / Peyerimhoff, Norbert, (editor)  
Imprint: 
Cambridge :
Cambridge University Press,
2016

Physical Description: 
1 online resource (xviii, 321 pages) 
Note: 
englisch 
ISBN: 
9781107552371 9781316402696 
Series Title: 
London Mathematical Society lecture note series ;
437 
Subject (LOC):  
Full Text 
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, cuttingedge 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 Cantortype 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. 