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Dynamics: Topology and Numbers

2020-02-12 Education
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Release : 2020-02-12
Genre : Education
Kind : eBook
Book Rating : 00X/5 ( reviews)

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Book Synopsis Dynamics: Topology and Numbers by : Pieter Moree

Download or read book Dynamics: Topology and Numbers written by Pieter Moree. This book was released on 2020-02-12. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference Dynamics: Topology and Numbers, held from July 2–6, 2018, at the Max Planck Institute for Mathematics, Bonn, Germany. The papers cover diverse fields of mathematics with a unifying theme of relation to dynamical systems. These include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics. The volume is dedicated to the memory of Sergiy Kolyada and also contains some personal accounts of his life and mathematics.

Dynamics and Analytic Number Theory

2016-11-10 Mathematics
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Release : 2016-11-10
Genre : Mathematics
Kind : eBook
Book Rating : 370/5 ( reviews)

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Book Synopsis Dynamics and Analytic Number Theory by : Dzmitry Badziahin

Download or read book Dynamics and Analytic Number Theory written by Dzmitry Badziahin. This book was released on 2016-11-10. Available in PDF, EPUB and Kindle. Book excerpt: Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.

Dynamics, Geometry, Number Theory

2022-02-07 Mathematics
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Release : 2022-02-07
Genre : Mathematics
Kind : eBook
Book Rating : 02X/5 ( reviews)

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Book Synopsis Dynamics, Geometry, Number Theory by : David Fisher

Download or read book Dynamics, Geometry, Number Theory written by David Fisher. This book was released on 2022-02-07. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematicians David Fisher, Dmitry Kleinbock, and Gregory Soifer highlight in this edited collection the foundations and evolution of research by mathematician Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have opened new vistas of mathematics. Margulis' ideas were central, for example, to developments that led to the recent Fields Medals of Elon Lindenstrauss and Maryam Mirzhakhani. The broad goal of this volume is to introduce these areas, their development, their use in current research, and the connections between them. The foremost experts on the topic have written each of the chapters in this volume with a view to making them accessible by graduate students and by experts in other parts of mathematics"--

Dynamics in One Non-Archimedean Variable

2019-03-05 Analytic spaces
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Release : 2019-03-05
Genre : Analytic spaces
Kind : eBook
Book Rating : 88X/5 ( reviews)

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Book Synopsis Dynamics in One Non-Archimedean Variable by : Robert L. Benedetto

Download or read book Dynamics in One Non-Archimedean Variable written by Robert L. Benedetto. This book was released on 2019-03-05. Available in PDF, EPUB and Kindle. Book excerpt: The theory of complex dynamics in one variable, initiated by Fatou and Julia in the early twentieth century, concerns the iteration of a rational function acting on the Riemann sphere. Building on foundational investigations of p-adic dynamics in the late twentieth century, dynamics in one non-archimedean variable is the analogous theory over non-archimedean fields rather than over the complex numbers. It is also an essential component of the number-theoretic study of arithmetic dynamics. This textbook presents the fundamentals of non-archimedean dynamics, including a unified exposition of Rivera-Letelier's classification theorem, as well as results on wandering domains, repelling periodic points, and equilibrium measures. The Berkovich projective line, which is the appropriate setting for the associated Fatou and Julia sets, is developed from the ground up, as are relevant results in non-archimedean analysis. The presentation is accessible to graduate students with only first-year courses in algebra and analysis under their belts, although some previous exposure to non-archimedean fields, such as the p-adic numbers, is recommended. The book should also be a useful reference for more advanced students and researchers in arithmetic and non-archimedean dynamics.

Dynamics and Numbers

2016 Ergodic theory
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Release : 2016
Genre : Ergodic theory
Kind : eBook
Book Rating : 984/5 ( reviews)

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Book Synopsis Dynamics and Numbers by : S. F. Koli︠a︡da

Download or read book Dynamics and Numbers written by S. F. Koli︠a︡da. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of survey and research articles from the special program and international conference on Dynamics and Numbers held at the Max-Planck Institute for Mathematics in Bonn, Germany in 2014. The papers reflect the great diversity and depth of the interaction between number theory and dynamical systems and geometry in particular. Topics covered in this volume include symbolic dynamics, Bratelli diagrams, geometry of laminations, entropy, Nielsen theory, recurrence, topology of the moduli space of interval maps, and specification properties

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