Metric Diophantine Approximation On Manifolds By Algebraic Points

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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.

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.

Recent Trends In Ergodic Theory And Dynamical Systems

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Author : Siddhartha Bhattacharya
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-01-26

Recent Trends In Ergodic Theory And Dynamical Systems written by Siddhartha Bhattacharya and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-26 with Mathematics categories.

This volume contains the proceedings of the International Conference on Recent Trends in Ergodic Theory and Dynamical Systems, in honor of S. G. Dani's 65th Birthday, held December 26-29, 2012, in Vadodara, India. This volume covers many topics of ergodic theory, dynamical systems, number theory and probability measures on groups. Included are papers on Teichmüller dynamics, Diophantine approximation, iterated function systems, random walks and algebraic dynamical systems, as well as two surveys on the work of S. G. Dani.

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.

Number Theory Analysis And Geometry

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Author : Dorian Goldfeld
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-12-21

Number Theory Analysis And Geometry written by Dorian Goldfeld 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 2011-12-21 with Mathematics categories.

Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the theory of negatively curved spaces. Lang's conjectures will keep many mathematicians occupied far into the future. In the spirit of Lang’s vast contribution to mathematics, this memorial volume contains articles by prominent mathematicians in a variety of areas of the field, namely Number Theory, Analysis, and Geometry, representing Lang’s own breadth of interest and impact. A special introduction by John Tate includes a brief and fascinating account of the Serge Lang’s life. This volume's group of 6 editors are also highly prominent mathematicians and were close to Serge Lang, both academically and personally. The volume is suitable to research mathematicians in the areas of Number Theory, Analysis, and Geometry.

Nevanlinna Theory And Its Relation To Diophantine Approximation Second Edition

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Author : Min Ru
language : en
Publisher: World Scientific
Release Date : 2021-03-10

Nevanlinna Theory And Its Relation To Diophantine Approximation Second Edition written by Min Ru and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-10 with Mathematics categories.

This book describes the theories and developments in Nevanlinna theory and Diophantine approximation. Although these two subjects belong to the different areas: one in complex analysis and one in number theory, it has been discovered that a number of striking similarities exist between these two subjects. A growing understanding of these connections has led to significant advances in both fields. Outstanding conjectures from decades ago are being solved.Over the past 20 years since the first edition appeared, there have been many new and significant developments. The new edition greatly expands the materials. In addition, three new chapters were added. In particular, the theory of algebraic curves, as well as the algebraic hyperbolicity, which provided the motivation for the Nevanlinna theory.

Frobenius Manifolds And Moduli Spaces For Singularities

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Author : Claus Hertling
language : en
Publisher: Cambridge University Press
Release Date : 2002-07-25

Frobenius Manifolds And Moduli Spaces For Singularities written by Claus Hertling 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 2002-07-25 with Mathematics categories.

This book presents the theory of Frobenius manifolds, as well as all the necessary tools and several applications.

The Covering Property Axiom Cpa

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Author : Krzysztof Ciesielski
language : en
Publisher: Cambridge University Press
Release Date : 2004-08-23

The Covering Property Axiom Cpa written by Krzysztof Ciesielski 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 2004-08-23 with Mathematics categories.

Here the authors formulate and explore a new axiom of set theory, CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC axioms, indeed it is true in the iterated Sacks model and actually captures the combinatorial core of this model. A plethora of results known to be true in the Sacks model easily follow from CPA. Replacing iterated forcing arguments with deductions from CPA simplifies proofs, provides deeper insight, and leads to new results. One may say that CPA is similar in nature to Martin's axiom, as both capture the essence of the models of ZFC in which they hold. The exposition is self contained and there are natural applications to real analysis and topology. Researchers who use set theory in their work will find much of interest in this book.

Finite Packing And Covering

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Author : K. Böröczky
language : en
Publisher: Cambridge University Press
Release Date : 2004-08-02

Finite Packing And Covering written by K. Böröczky 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 2004-08-02 with Mathematics categories.

This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies.