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...
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| Sprache: | English |
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2016
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| Schriftenreihe: | London Mathematical Society lecture note series
437 |
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| 520 | |a 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 | ||
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| indexdate | 2024-12-24T05:38:26Z |
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| isbn | 9781316402696 |
| language | English |
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| spelling | Easter School "Dynamics and Analytic Number Theory" 2014 Durham Verfasser (DE-588)1120345057 aut 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 resource (xviii, 321 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 437 Title from publisher's bibliographic system (viewed on 02 Dec 2016) 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 Number theory / Congresses Dynamics / Congresses Analytische Zahlentheorie (DE-588)4001870-2 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Analytische Zahlentheorie (DE-588)4001870-2 s Dynamisches System (DE-588)4013396-5 s 1\p DE-604 Badziahin, Dmitry (DE-588)1120344603 edt Gorodnik, Alexander 1975- (DE-588)13939463X edt Peyerimhoff, Norbert 1964- (DE-588)172709555 edt Erscheint auch als Druckausgabe 978-1-107-55237-1 https://doi.org/10.1017/CBO9781316402696 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dynamics and analytic number theory proceedings of the Durham Easter School 2014 Number theory / Congresses Dynamics / Congresses Analytische Zahlentheorie (DE-588)4001870-2 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4001870-2 (DE-588)4013396-5 (DE-588)1071861417 |
| 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 |
| topic | Number theory / Congresses Dynamics / Congresses Analytische Zahlentheorie (DE-588)4001870-2 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Number theory / Congresses Dynamics / Congresses Analytische Zahlentheorie Dynamisches System Konferenzschrift |
| url | https://doi.org/10.1017/CBO9781316402696 |
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