Metric Diophantine Approximation On Manifolds
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Metric Diophantine Approximation On Manifolds
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Author : V. I. Bernik
language : en
Publisher: Cambridge University Press
Release Date : 1999-10-14
Metric Diophantine Approximation On Manifolds written by V. I. Bernik and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-14 with Mathematics categories.
This book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space, and its aim is to develop a coherent body of theory comparable with that which already exists for classical Diophantine approximation. In particular, this book deals with Khintchine-type theorems and with the Hausdorff dimension of the associated null sets. All researchers with an interest in Diophantine approximation will welcome this book.
Metric Diophantine Approximation On Manifolds
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Author : Vasiliĭ Ivanovich Bernik
language : en
Publisher:
Release Date : 1999
Metric Diophantine Approximation On Manifolds written by Vasiliĭ Ivanovich Bernik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Diophantine approximation categories.
This 1999 book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space, and its aim is to develop a coherent body of theory comparable with that which already exists for classical Diophantine approximation. In particular, this book deals with Khintchine-type theorems and with the Hausdorff dimension of the associated null sets. After setting out the necessary background material, the authors give a full discussion of Hausdorff dimension and its uses in Diophantine approximation. A wide range of techniques from the number theory arsenal are used to obtain the upper and lower bounds required, and this is an indication of the difficulty of some of the questions considered. The authors go on to consider briefly the p-adic case, and they conclude with a chapter on some applications of metric Diophantine approximation. All researchers with an interest in Diophantine approximation will welcome this book.
Metric Diophantine Approximation On Manifolds By Algebraic Points
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Author : Alessandro Pezzoni
language : en
Publisher:
Release Date : 2020
Metric Diophantine Approximation On Manifolds By Algebraic Points written by Alessandro Pezzoni and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
Arnold S Problems
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Author : Vladimir I. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-24
Arnold S Problems written by Vladimir I. Arnold and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-24 with Mathematics categories.
Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research
Dynamics And Analytic Number Theory
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Author : Dzmitry Badziahin
language : en
Publisher: Cambridge University Press
Release Date : 2016-11-10
Dynamics And Analytic Number Theory written by Dzmitry Badziahin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-10 with Mathematics categories.
Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.
Number Theory Meets Wireless Communications
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Author : Victor Beresnevich
language : en
Publisher: Springer Nature
Release Date : 2021-01-08
Number Theory Meets Wireless Communications written by Victor Beresnevich and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-08 with Technology & Engineering categories.
This volume explores the rich interplay between number theory and wireless communications, reviewing the surprisingly deep connections between these fields and presenting new research directions to inspire future research. The contributions of this volume stem from the Workshop on Interactions between Number Theory and Wireless Communication held at the University of York in 2016. The chapters, written by leading experts in their respective fields, provide direct overviews of highly exciting current research developments. The topics discussed include metric Diophantine approximation, geometry of numbers, homogeneous dynamics, algebraic lattices and codes, network and channel coding, and interference alignment. The book is edited by experts working in number theory and communication theory. It thus provides unique insight into key concepts, cutting-edge results, and modern techniques that play an essential role in contemporary research. Great effort has been made to present the material in a manner that is accessible to new researchers, including PhD students. The book will also be essential reading for established researchers working in number theory or wireless communications looking to broaden their outlook and contribute to this emerging interdisciplinary area.
Limit Theorems In Probability Statistics And Number Theory
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Author : Peter Eichelsbacher
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-23
Limit Theorems In Probability Statistics And Number Theory written by Peter Eichelsbacher and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-23 with Mathematics categories.
Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them combine asymptotic enumerative combinatorics, particle systems and approximation theory, and are important for new approaches in geometric and metric number theory as well. Thus, the contributions in this book include a wide range of applications with surprising connections ranging from longest common subsequences for words, permutation groups, random matrices and free probability to entropy problems and metric number theory. The book is the product of a conference that took place in August 2011 in Bielefeld, Germany to celebrate the 60th birthday of Friedrich Götze, a noted expert in this field.
Approximation By Algebraic Numbers
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Author : Yann Bugeaud
language : en
Publisher: Cambridge University Press
Release Date : 2004-11-08
Approximation By Algebraic Numbers written by Yann Bugeaud and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-08 with Mathematics categories.
An accessible and broad account of the approximation and classification of real numbers suited for graduate courses on Diophantine approximation (some 40 exercises are supplied), or as an introduction for non-experts. Specialists will appreciate the collection of over 50 open problems and the comprehensive list of more than 600 references.
Affine Hecke Algebras And Orthogonal Polynomials
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Author : I. G. Macdonald
language : en
Publisher: Cambridge University Press
Release Date : 2003-03-20
Affine Hecke Algebras And Orthogonal Polynomials written by I. G. Macdonald and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-20 with Mathematics categories.
First account of a theory, created by Macdonald, of a class of orthogonal polynomial, which is related to mathematical physics.
Surveys In Number Theory
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Author : Bruce Berndt
language : en
Publisher: CRC Press
Release Date : 2002-11-20
Surveys In Number Theory written by Bruce Berndt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-20 with Mathematics categories.
This volume, based on fourteen papers from the Millennial Conference on Number Theory, represents surveys of topics in number theory and provides an outlook into the future of number theory research. It serves as an inspiration to graduate students and as a reference for research mathematicians.