Author: Frederic Fauvet
Publisher: Walter de Gruyter
ISBN: 3110200007
Category : Mathematics
Languages : en
Pages : 257
Book Description
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.
From Combinatorics to Dynamical Systems
Author: Frederic Fauvet
Publisher: Walter de Gruyter
ISBN: 3110200007
Category : Mathematics
Languages : en
Pages : 257
Book Description
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.
Publisher: Walter de Gruyter
ISBN: 3110200007
Category : Mathematics
Languages : en
Pages : 257
Book Description
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.
An Introduction to Sequential Dynamical Systems
Author: Henning Mortveit
Publisher: Springer Science & Business Media
ISBN: 0387498796
Category : Mathematics
Languages : en
Pages : 261
Book Description
This introductory text to the class of Sequential Dynamical Systems (SDS) is the first textbook on this timely subject. Driven by numerous examples and thought-provoking problems throughout, the presentation offers good foundational material on finite discrete dynamical systems, which then leads systematically to an introduction of SDS. From a broad range of topics on structure theory - equivalence, fixed points, invertibility and other phase space properties - thereafter SDS relations to graph theory, classical dynamical systems as well as SDS applications in computer science are explored. This is a versatile interdisciplinary textbook.
Publisher: Springer Science & Business Media
ISBN: 0387498796
Category : Mathematics
Languages : en
Pages : 261
Book Description
This introductory text to the class of Sequential Dynamical Systems (SDS) is the first textbook on this timely subject. Driven by numerous examples and thought-provoking problems throughout, the presentation offers good foundational material on finite discrete dynamical systems, which then leads systematically to an introduction of SDS. From a broad range of topics on structure theory - equivalence, fixed points, invertibility and other phase space properties - thereafter SDS relations to graph theory, classical dynamical systems as well as SDS applications in computer science are explored. This is a versatile interdisciplinary textbook.
Combinatorial Dynamics And Entropy In Dimension One
Author: Alseda Luis
Publisher: World Scientific Publishing Company
ISBN: 9814553220
Category : Mathematics
Languages : en
Pages : 344
Book Description
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
Publisher: World Scientific Publishing Company
ISBN: 9814553220
Category : Mathematics
Languages : en
Pages : 344
Book Description
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
Representation Theory, Dynamical Systems, and Asymptotic Combinatorics
Author: V. Kaimanovich
Publisher: American Mathematical Soc.
ISBN: 0821872893
Category : Mathematics
Languages : en
Pages : 258
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 0821872893
Category : Mathematics
Languages : en
Pages : 258
Book Description
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.
Combinatorics, Words and Symbolic Dynamics
Author: Valérie Berthé
Publisher: Cambridge University Press
ISBN: 1107077028
Category : Computers
Languages : en
Pages : 496
Book Description
Surveys trends arising from the applications and interactions between combinatorics, symbolic dynamics and theoretical computer science.
Publisher: Cambridge University Press
ISBN: 1107077028
Category : Computers
Languages : en
Pages : 496
Book Description
Surveys trends arising from the applications and interactions between combinatorics, symbolic dynamics and theoretical computer science.
Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics
Author: Sébastien Ferenczi
Publisher: Springer
ISBN: 3319749080
Category : Mathematics
Languages : en
Pages : 434
Book Description
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.
Publisher: Springer
ISBN: 3319749080
Category : Mathematics
Languages : en
Pages : 434
Book Description
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
Author: N. Pytheas Fogg
Publisher: Springer
ISBN: 3540457143
Category : Mathematics
Languages : en
Pages : 411
Book Description
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.
Publisher: Springer
ISBN: 3540457143
Category : Mathematics
Languages : en
Pages : 411
Book Description
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.
Differential Equations and Dynamical Systems
Author: D. Bahuguna
Publisher: Alpha Science Int'l Ltd.
ISBN: 9788173195884
Category : Mathematics
Languages : en
Pages : 246
Book Description
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.
Publisher: Alpha Science Int'l Ltd.
ISBN: 9788173195884
Category : Mathematics
Languages : en
Pages : 246
Book Description
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.
Substitution Dynamical Systems - Spectral Analysis
Author: Martine Queffélec
Publisher: Springer
ISBN: 3540480889
Category : Mathematics
Languages : en
Pages : 252
Book Description
Publisher: Springer
ISBN: 3540480889
Category : Mathematics
Languages : en
Pages : 252
Book Description
Recurrence in Ergodic Theory and Combinatorial Number Theory
Author: Harry Furstenberg
Publisher: Princeton University Press
ISBN: 1400855160
Category : Mathematics
Languages : en
Pages : 216
Book Description
Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Publisher: Princeton University Press
ISBN: 1400855160
Category : Mathematics
Languages : en
Pages : 216
Book Description
Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.