Dynamics and analytic number theory: proceedings of the Durham Easter School 2014
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...
Gespeichert in:
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| Weitere beteiligte Personen: | , , |
| Format: | Tagungsbericht E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
|
| Schriftenreihe: | London Mathematical Society lecture note series
437 |
| Links: | https://doi.org/10.1017/CBO9781316402696 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xviii, 321 Seiten) |
| ISBN: | 9781316402696 |
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| spelling | Durham Easter School (2014 : University of Durham) Dynamics and analytic number theory proceedings of the Durham Easter School 2014 edited by Dzmitry Badziahin, University of Durham, Alexander Gorodnik, University of Bristol, Norbert Peyerimhoff, University of Durham Dynamics & Analytic Number Theory Cambridge Cambridge University Press 2016 1 Online-Ressource (xviii, 321 Seiten) txt c cr London Mathematical Society lecture note series 437 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. Badziahin, Dmitry Gorodnik, Alexander 1975- Peyerimhoff, Norbert 1964- Erscheint auch als Druck-Ausgabe 9781107552371 |
| spellingShingle | Dynamics and analytic number theory proceedings of the Durham Easter School 2014 |
| title | Dynamics and analytic number theory proceedings of the Durham Easter School 2014 |
| title_alt | Dynamics & Analytic Number Theory |
| title_auth | Dynamics and analytic number theory proceedings of the Durham Easter School 2014 |
| title_exact_search | Dynamics and analytic number theory proceedings of the Durham Easter School 2014 |
| title_full | Dynamics and analytic number theory proceedings of the Durham Easter School 2014 edited by Dzmitry Badziahin, University of Durham, Alexander Gorodnik, University of Bristol, Norbert Peyerimhoff, University of Durham |
| title_fullStr | Dynamics and analytic number theory proceedings of the Durham Easter School 2014 edited by Dzmitry Badziahin, University of Durham, Alexander Gorodnik, University of Bristol, Norbert Peyerimhoff, University of Durham |
| title_full_unstemmed | Dynamics and analytic number theory proceedings of the Durham Easter School 2014 edited by Dzmitry Badziahin, University of Durham, Alexander Gorodnik, University of Bristol, Norbert Peyerimhoff, University of Durham |
| title_short | Dynamics and analytic number theory |
| title_sort | dynamics and analytic number theory proceedings of the durham easter school 2014 |
| title_sub | proceedings of the Durham Easter School 2014 |
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