From Combinatorics To Dynamical Systems
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From Combinatorics To Dynamical Systems
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Author : Frederic Fauvet
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-22
From Combinatorics To Dynamical Systems written by Frederic Fauvet and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Mathematics categories.
This volume contains nine refereed research papers in various areas from combinatorics to dynamical systems, with computer algebra as an underlying and unifying theme. Topics covered include irregular connections, rank reduction and summability of solutions of differential systems, asymptotic behaviour of divergent series, integrability of Hamiltonian systems, multiple zeta values, quasi-polynomial formalism, Padé approximants related to analytic integrability, hybrid systems. The interactions between computer algebra, dynamical systems and combinatorics discussed in this volume should be useful for both mathematicians and theoretical physicists who are interested in effective computation.
Representation Theory Dynamical Systems And Asymptotic Combinatorics
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Author : V. Kaimanovich
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-11-09
Representation Theory Dynamical Systems And Asymptotic Combinatorics written by V. Kaimanovich 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 2011-11-09 with Mathematics categories.
This volume, devoted to the 70th birthday of the well-known St. Petersburg mathematician A. M. Vershik, contains a collection of articles by participants in the conference "Representation Theory, Dynamical Systems, and Asymptotic Combinatorics", held in St. Petersburg in June of 2004. The book is suitable for graduate students and researchers interested in combinatorial and dynamical aspects of group representation theory.
Ergodic Theory And Dynamical Systems In Their Interactions With Arithmetics And Combinatorics
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Author : Sébastien Ferenczi
language : en
Publisher: Springer
Release Date : 2018-06-15
Ergodic Theory And Dynamical Systems In Their Interactions With Arithmetics And Combinatorics written by Sébastien Ferenczi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-15 with Mathematics categories.
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.
Substitutions In Dynamics Arithmetics And Combinatorics
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Author : N. Pytheas Fogg
language : en
Publisher: Springer
Release Date : 2003-10-24
Substitutions In Dynamics Arithmetics And Combinatorics written by N. Pytheas Fogg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-24 with Mathematics categories.
A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules (a letter is replaced by a word, a sequence is produced by iteration). These substitutive sequences have a surprisingly rich structure. The authors describe the concepts of quantity of natural interactions, with combinatorics on words, ergodic theory, linear algebra, spectral theory, geometry of tilings, theoretical computer science, diophantine approximation, trancendence, graph theory. This volume fulfils the need for a reference on the basic definitions and theorems, as well as for a state-of-the-art survey of the more difficult and unsolved problems.
Combinatorial Dynamics And Entropy In Dimension One
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Author : Alseda Luis
language : en
Publisher: World Scientific Publishing Company
Release Date : 1993-06-04
Combinatorial Dynamics And Entropy In Dimension One written by Alseda Luis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-04 with Mathematics categories.
In last thirty years an explosion of interest in the study of nonlinear dynamical systems occured. The theory of one-dimensional dynamical systems has grown out in many directions. One of them has its roots in the Sharkovski0 Theorem. This beautiful theorem describes the possible sets of periods of all cycles of maps of an interval into itself. Another direction has its main objective in measuring the complexity of a system, or the amount of chaos present in it. A good way of doing this is to compute topological entropy of the system. The aim of this book is to provide graduate students and researchers with a unified and detailed exposition of these developments for interval and circle maps. Many comments are added referring to related problems, and historical remarks are made. Request Inspection Copy
Combinations Of Complex Dynamical Systems
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Author : Kevin M. Pilgrim
language : en
Publisher: Springer
Release Date : 2003-12-12
Combinations Of Complex Dynamical Systems written by Kevin M. Pilgrim and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-12 with Mathematics categories.
This work is a research-level monograph whose goal is to develop a general combination, decomposition, and structure theory for branched coverings of the two-sphere to itself, regarded as the combinatorial and topological objects which arise in the classification of certain holomorphic dynamical systems on the Riemann sphere. It is intended for researchers interested in the classification of those complex one-dimensional dynamical systems which are in some loose sense tame. The program is motivated by the dictionary between the theories of iterated rational maps and Kleinian groups.
Substitution Dynamical Systems Spectral Analysis
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Author : Martine Queffélec
language : en
Publisher: Springer
Release Date : 2006-11-14
Substitution Dynamical Systems Spectral Analysis written by Martine Queffélec and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Differential Equations And Dynamical Systems
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Author : D. Bahuguna
language : en
Publisher: Alpha Science Int'l Ltd.
Release Date : 2005
Differential Equations And Dynamical Systems written by D. Bahuguna and has been published by Alpha Science Int'l Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Fifteen chapters from eminent researchers working in the area of differential equations and dynamical systems covering all relevant subjects, ranging from wavelets and their applications, to second order evolution equations.
Representation Theory Dynamical Systems And Asymptotic Combinatorics
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Author : V. Kaimanovich
language : en
Publisher:
Release Date : 2011
Representation Theory Dynamical Systems And Asymptotic Combinatorics written by V. Kaimanovich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
This volume, devoted to the 70th birthday of the well-known St. Petersburg mathematician A.M. Vershik, contains a collection of articles by participants in the conference "Representation Theory, Dynamical Systems, and Asymptotic Combinatorics", held in St. Petersburg in June of 2004. The book is suitable for graduate students and researchers interested in combinatorial and dynamical aspects of group representation theory.
The Dynamical System Generated By The 3n 1 Function
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Author : Günther J. Wirsching
language : en
Publisher: Springer
Release Date : 2006-11-14
The Dynamical System Generated By The 3n 1 Function written by Günther J. Wirsching and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for any starting number n>0, iterated application of T to n eventually produces 1. After a survey of theorems concerning the 3n+1 problem, the main focus of the book are 3n+1 predecessor sets. These are analyzed using, e.g., elementary number theory, combinatorics, asymptotic analysis, and abstract measure theory. The book is written for any mathematician interested in the 3n+1 problem, and in the wealth of mathematical ideas employed to attack it.