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Dynamical Numbers Interplay Between Dynamical Systems And Number Theory
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Book Synopsis Dynamical Numbers: Interplay between Dynamical Systems and Number Theory by : S. F. Koli︠a︡da
Download or read book Dynamical Numbers: Interplay between Dynamical Systems and Number Theory written by S. F. Koli︠a︡da and published by American Mathematical Soc.. This book was released on 2010 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers from the special program and international conference on Dynamical Numbers which were held at the Max-Planck Institute in Bonn, Germany in 2009. These papers reflect the extraordinary range and depth of the interactions between ergodic theory and dynamical systems and number theory. Topics covered in the book include stationary measures, systems of enumeration, geometrical methods, spectral methods, and algebraic dynamical systems.
Book Synopsis Number Theory and Dynamical Systems by : M. M. Dodson
Download or read book Number Theory and Dynamical Systems written by M. M. Dodson and published by . This book was released on 2014-05-14 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected contributions from a very successful meeting on Number Theory and Dynamical Systems held at the University of York in 1987. There are close and surprising connections between number theory and dynamical systems. One emerged last century from the study of the stability of the solar system where problems of small divisors associated with the near resonance of planetary frequencies arose. Previously the question of the stability of the solar system was answered in more general terms by the celebrated KAM theorem, in which the relationship between near resonance (and so Diophantine approximation) and stability is of central importance. Other examples of the connections involve the work of Szemeredi and Furstenberg, and Sprindzuk. As well as containing results on the relationship between number theory and dynamical systems, the book also includes some more speculative and exploratory work which should stimulate interest in different approaches to old problems.
Book Synopsis Dynamical Systems, Number Theory and Applications by : Thomas Hagen
Download or read book Dynamical Systems, Number Theory and Applications written by Thomas Hagen and published by World Scientific. This book was released on 2016-01-25 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a selection of research-type articles on dynamical systems, evolution equations, analytic number theory and closely related topics. A strong emphasis is on a fair balance between theoretical and more applied work, thus spanning the chasm between abstract insight and actual application. Several of the articles are expected to be in the intersection of dynamical systems theory and number theory. One article will likely relate the topics presented to the academic achievements and interests of Prof. Leutbecher and shed light on common threads among all the contributions. Contents:PrefaceBiographical Note on Armin Leutbecher (S Walcher)Das Jahr 1934 ... (J Fischer)Explicit Expressions for Equivariant Minimal Lagrangian Surfaces (J F Dorfmeister & H Ma)Rational Parameter Rays of the Multibrot Sets (D Eberlein, S Mukherjee & D Schleicher)The Matovich-Pearson Equations Revisited (T Hagen)Diffeomorphisms with Stable Manifolds as Basin Boundaries (S Hayes & Ch Wolf)A New Type of Functional Equations of Euler Products (B Heim)The Hexagonal Lattice and the Epstein Zeta Function (A Henn)On Putative q-Analogues of the Fano Plane (Th Honold & M Kiermaier)Integral Orthogonal Groups (A Krieg)The Role of Fourier Analysis in X-Ray Crystallography (F Rupp & J Scheurle)An Elementary Proof for Joint Continuity of Semiflows (S Schmitz)A Convergent String Method (H Schwetlick & J Zimmer)Variational Symmetries and Pluri-Lagrangian Systems (Y B Suris) Readership: Researchers in algebra and number theory, dynamical systems and analysis and differential equations. Key Features:This versatile book covers state-of-the art work in dynamical systems, analytic number theory and applied analysisIt appeals to a wide audience due to its broad range of topics, highlighting both the breadth and the depth of modern analytical work without losing sight of a common coreKeywords:Dynamical Systems;Evolution Equations;Number Theory;Differential Geometry
Book Synopsis Recent Trends in Ergodic Theory and Dynamical Systems by : Siddhartha Bhattacharya
Download or read book Recent Trends in Ergodic Theory and Dynamical Systems written by Siddhartha Bhattacharya and published by American Mathematical Soc.. This book was released on 2015-01-26 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Dynamical Systems and Group Actions by : Lewis Bowen
Download or read book Dynamical Systems and Group Actions written by Lewis Bowen and published by American Mathematical Soc.. This book was released on 2012 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains cutting-edge research from leading experts in ergodic theory, dynamical systems and group actions. A large part of the volume addresses various aspects of ergodic theory of general group actions including local entropy theory, universal minimal spaces, minimal models and rank one transformations. Other papers deal with interval exchange transformations, hyperbolic dynamics, transfer operators, amenable actions and group actions on graphs.
Book Synopsis Dynamics and Numbers by : S. F. Koli︠a︡da
Download or read book Dynamics and Numbers written by S. F. Koli︠a︡da and published by . This book was released on 2016 with total page 315 pages. 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
Book Synopsis Dynamics and Numbers by : Sergiǐ Kolyada:
Download or read book Dynamics and Numbers written by Sergiǐ Kolyada: and published by American Mathematical Soc.. This book was released on 2016-07-27 with total page 315 pages. 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.
Book Synopsis Dynamics: Topology and Numbers by : Pieter Moree
Download or read book Dynamics: Topology and Numbers written by Pieter Moree and published by American Mathematical Soc.. This book was released on 2020-02-12 with total page 347 pages. 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.
Book Synopsis Dynamics and Analytic Number Theory by : Dzmitry Badziahin
Download or read book Dynamics and Analytic Number Theory written by Dzmitry Badziahin and published by Cambridge University Press. This book was released on 2016-11-10 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.
Book Synopsis Number Theory and Dynamical Systems by : M. M. Dodson
Download or read book Number Theory and Dynamical Systems written by M. M. Dodson and published by Cambridge University Press. This book was released on 1989-11-09 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected contributions from a very successful meeting on Number Theory and Dynamical Systems held at the University of York in 1987. There are close and surprising connections between number theory and dynamical systems. One emerged last century from the study of the stability of the solar system where problems of small divisors associated with the near resonance of planetary frequencies arose. Previously the question of the stability of the solar system was answered in more general terms by the celebrated KAM theorem, in which the relationship between near resonance (and so Diophantine approximation) and stability is of central importance. Other examples of the connections involve the work of Szemeredi and Furstenberg, and Sprindzuk. As well as containing results on the relationship between number theory and dynamical systems, the book also includes some more speculative and exploratory work which should stimulate interest in different approaches to old problems.
Book Synopsis Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity by : Adrian Muntean
Download or read book Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity written by Adrian Muntean and published by Springer. This book was released on 2016-01-28 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the offspring of a summer school school “Macroscopic and large scale phenomena: coarse graining, mean field limits and ergodicity”, which was held in 2012 at the University of Twente, the Netherlands. The focus lies on mathematically rigorous methods for multiscale problems of physical origins. Each of the four book chapters is based on a set of lectures delivered at the school, yet all authors have expanded and refined their contributions. Francois Golse delivers a chapter on the dynamics of large particle systems in the mean field limit and surveys the most significant tools and methods to establish such limits with mathematical rigor. Golse discusses in depth a variety of examples, including Vlasov--Poisson and Vlasov--Maxwell systems. Lucia Scardia focuses on the rigorous derivation of macroscopic models using $\Gamma$-convergence, a more recent variational method, which has proved very powerful for problems in material science. Scardia illustrates this by various basic examples and a more advanced case study from dislocation theory. Alexander Mielke's contribution focuses on the multiscale modeling and rigorous analysis of generalized gradient systems through the new concept of evolutionary $\Gamma$-convergence. Numerous evocative examples are given, e.g., relating to periodic homogenization and the passage from viscous to dry friction. Martin Göll and Evgeny Verbitskiy conclude this volume, taking a dynamical systems and ergodic theory viewpoint. They review recent developments in the study of homoclinic points for certain discrete dynamical systems, relating to particle systems via ergodic properties of lattices configurations.
Book Synopsis Set Theory and Its Applications by : Liljana Babinkostova
Download or read book Set Theory and Its Applications written by Liljana Babinkostova and published by American Mathematical Soc.. This book was released on 2011 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of several survey and research papers covering a wide range of topics in active areas of set theory and set theoretic topology. Some of the articles present, for the first time in print, knowledge that has been around for several years and known intimately to only a few experts. The surveys bring the reader up to date on the latest information in several areas that have been surveyed a decade or more ago. Topics covered in the volume include combinatorial and descriptive set theory, determinacy, iterated forcing, Ramsey theory, selection principles, set-theoretic topology, and universality, among others. Graduate students and researchers in logic, especially set theory, descriptive set theory, and set-theoretic topology, will find this book to be a very valuable reference.
Book Synopsis Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics by : Sébastien Ferenczi
Download or read book Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics written by Sébastien Ferenczi and published by Springer. This book was released on 2018-06-15 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak's conjecture on Möbius disjointness. Selected topics involving more traditional connections between number theory and dynamics are also presented, including equidistribution, homogenous dynamics, and Lagrange and Markov spectra. In addition, some dynamical and number theoretical aspects of aperiodic order, some algebraic systems, and a recent development concerning tame systems are described.
Book Synopsis Recent Advances in Harmonic Analysis and Partial Differential Equations by : Andrea R. Nahmod
Download or read book Recent Advances in Harmonic Analysis and Partial Differential Equations written by Andrea R. Nahmod and published by American Mathematical Soc.. This book was released on 2012 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the AMS Special Session on Harmonic Analysis and Partial Differential Equations and the AMS Special Session on Nonlinear Analysis of Partial Differential Equations, both held March 12-13, 2011, at Georgia Southern University, Statesboro, Georgia, as well as the JAMI Conference on Analysis of PDEs, held March 21-25, 2011, at Johns Hopkins University, Baltimore, Maryland. These conferences all concentrated on problems of current interest in harmonic analysis and PDE, with emphasis on the interaction between them. This volume consists of invited expositions as well as research papers that address prospects of the recent significant development in the field of analysis and PDE. The central topics mainly focused on using Fourier, spectral and geometrical methods to treat wellposedness, scattering and stability problems in PDE, including dispersive type evolution equations, higher-order systems and Sobolev spaces theory that arise in aspects of mathematical physics. The study of all these problems involves state-of-the-art techniques and approaches that have been used and developed in the last decade. The interrelationship between the theory and the tools reflects the richness and deep connections between various subjects in both classical and modern analysis.
Book Synopsis Symmetries and Related Topics in Differential and Difference Equations by : David Blázquez-Sanz
Download or read book Symmetries and Related Topics in Differential and Difference Equations written by David Blázquez-Sanz and published by American Mathematical Soc.. This book was released on 2011 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers collected here discuss topics such as Lie symmetries, equivalence transformations and differential invariants, group theoretical methods in linear equations, and the development of some geometrical methods in theoretical physics. The reader will find new results in symmetries of differential and difference equations, applications in classical and quantum mechanics, two fundamental problems of theoretical mechanics, and the mathematical nature of time in Lagrangian mechanics.
Book Synopsis Mathematical Foundations of Computer Science 2012 by : Branislav Rovan
Download or read book Mathematical Foundations of Computer Science 2012 written by Branislav Rovan and published by Springer. This book was released on 2012-08-01 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed proceedings of the 37th International Symposium on Mathematical Foundations of Computer Science, MFCS 2012, held in Bratislava, Slovakia, in August 2012. The 63 revised full papers presented together with 8 invited talks were carefully reviewed and selected from 162 submissions. Topics covered include algorithmic game theory, algorithmic learning theory, algorithms and data structures, automata, formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, databases and knowledge-based systems, foundations of computing, logic in computer science, models of computation, semantics and verification of programs, and theoretical issues in artificial intelligence.
Book Synopsis Algebraic Groups and Quantum Groups by : Susumu Ariki
Download or read book Algebraic Groups and Quantum Groups written by Susumu Ariki and published by American Mathematical Soc.. This book was released on 2012 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the tenth international conference on Representation Theory of Algebraic Groups and Quantum Groups, held August 2-6, 2010, at Nagoya University, Nagoya, Japan. The survey articles and original papers contained in this volume offer a comprehensive view of current developments in the field. Among others reflecting recent trends, one central theme is research on representations in the affine case. In three articles, the authors study representations of W-algebras and affine Lie algebras at the critical level, and three other articles are related to crystals in the affine case, that is, Mirkovic-Vilonen polytopes for affine type $A$ and Kerov-Kirillov-Reshetikhin type bijection for affine type $E_6$. Other contributions cover a variety of topics such as modular representation theory of finite groups of Lie type, quantum queer super Lie algebras, Khovanov's arc algebra, Hecke algebras and cyclotomic $q$-Schur algebras, $G_1T$-Verma modules for reductive algebraic groups, equivariant $K$-theory of quantum vector bundles, and the cluster algebra. This book is suitable for graduate students and researchers interested in geometric and combinatorial representation theory, and other related fields.
