Combinatorics Automata And Number Theory

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Combinatorics Automata And Number Theory
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Author : Valérie Berthé
language : en
Publisher: Cambridge University Press
Release Date : 2010-08-12
Combinatorics Automata And Number Theory written by Valérie Berthé 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 2010-08-12 with Mathematics categories.
This collaborative volume presents recent trends arising from the fruitful interaction between the themes of combinatorics on words, automata and formal language theory, and number theory. Presenting several important tools and concepts, the authors also reveal some of the exciting and important relationships that exist between these different fields. Topics include numeration systems, word complexity function, morphic words, Rauzy tilings and substitutive dynamical systems, Bratelli diagrams, frequencies and ergodicity, Diophantine approximation and transcendence, asymptotic properties of digital functions, decidability issues for D0L systems, matrix products and joint spectral radius. Topics are presented in a way that links them to the three main themes, but also extends them to dynamical systems and ergodic theory, fractals, tilings and spectral properties of matrices. Graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, fractals, tilings and stringology will find much of interest in this book.
Combinatorics Automata And Number Theory
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Author : Valérie Berthé
language : en
Publisher: Cambridge University Press
Release Date : 2010-08-12
Combinatorics Automata And Number Theory written by Valérie Berthé 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 2010-08-12 with Mathematics categories.
This collaborative volume presents trends arising from the fruitful interaction between the themes of combinatorics on words, automata and formal language theory, and number theory. Presenting several important tools and concepts, the authors also reveal some of the exciting and important relationships that exist between these different fields. Topics include numeration systems, word complexity function, morphic words, Rauzy tilings and substitutive dynamical systems, Bratelli diagrams, frequencies and ergodicity, Diophantine approximation and transcendence, asymptotic properties of digital functions, decidability issues for D0L systems, matrix products and joint spectral radius. Topics are presented in a way that links them to the three main themes, but also extends them to dynamical systems and ergodic theory, fractals, tilings and spectral properties of matrices. Graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, fractals, tilings and stringology will find much of interest in this book.
Combinatorics Automata And Number Theory
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Author : Michel Rigo
language : en
Publisher:
Release Date : 2010
Combinatorics Automata And Number Theory written by Michel Rigo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Combinatorial analysis categories.
This collaborative volume presents recent trends arising from the fruitful interaction between combinatorics on words, automata and number theory.
Developments In Language Theory
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Author : Marie-Pierre Beal
language : en
Publisher: Springer
Release Date : 2013-06-12
Developments In Language Theory written by Marie-Pierre Beal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-12 with Computers categories.
This book constitutes the proceedings of the 17th International Conference on Developments in Language Theory, DLT 2013, held in Marne-la-Vallée, France, in June 2013. The 34 full papers presented in this volume were carefully reviewed and selected from 63 submissions. The scope of the conference includes, among others, the following topics and areas: combinatorial and algebraic properties of words and languages; grammars, acceptors and transducers for strings, trees, graphs, arrays; algebraic theories for automata and languages; codes; efficient text algorithms; symbolic dynamics; decision problems; relationships to complexity theory and logic; picture description and analysis; polyominoes and bidimensional patterns; cryptography; concurrency; cellular automata; bio-inspired computing; and quantum computing.
Transcendence In Algebra Combinatorics Geometry And Number Theory
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Author : Alin Bostan
language : en
Publisher: Springer Nature
Release Date : 2021-11-02
Transcendence In Algebra Combinatorics Geometry And Number Theory written by Alin Bostan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-02 with Mathematics categories.
This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.
Developments In Language Theory
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Author : Arseny M. Shur
language : en
Publisher: Springer
Release Date : 2014-08-18
Developments In Language Theory written by Arseny M. Shur and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-18 with Computers categories.
This book constitutes the proceedings of the 18th International Conference on Developments in Language Theory, DLT 2014, held in Ekaterinburg, Russia, in August 2014. The 22 full papers and 5 short papers presented together with 3 invited talks were carefully reviewed and selected from 38 submissions. The papers are organized in topical subjects on Grammars, Acceptors and Transducers for Words, Trees and Graphs, Algebraic Theories of Automata, Algorithmic, Combinatorial and Algebraic Properties of Words and Languages, Variable Length Codes, Symbolic Dynamics, Cellular Automata, Polyominoes and Multidimensional Patterns, Decidability Questions, Image Manipulation and Compression, Efficient Text Algorithms, Relationships to Cryptography, Concurrency, Complexity Theory and Logic, Bio-Inspired Computing and Quantum Computing.
Sequences Groups And Number Theory
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Author : Valérie Berthé
language : en
Publisher: Birkhäuser
Release Date : 2018-04-09
Sequences Groups And Number Theory written by Valérie Berthé and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-09 with Mathematics categories.
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.
Substitution And Tiling Dynamics Introduction To Self Inducing Structures
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Author : Shigeki Akiyama
language : en
Publisher: Springer Nature
Release Date : 2020-12-05
Substitution And Tiling Dynamics Introduction To Self Inducing Structures written by Shigeki Akiyama and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-05 with Mathematics categories.
This book presents a panorama of recent developments in the theory of tilings and related dynamical systems. It contains an expanded version of courses given in 2017 at the research school associated with the Jean-Morlet chair program. Tilings have been designed, used and studied for centuries in various contexts. This field grew significantly after the discovery of aperiodic self-similar tilings in the 60s, linked to the proof of the undecidability of the Domino problem, and was driven futher by Dan Shechtman's discovery of quasicrystals in 1984. Tiling problems establish a bridge between the mutually influential fields of geometry, dynamical systems, aperiodic order, computer science, number theory, algebra and logic. The main properties of tiling dynamical systems are covered, with expositions on recent results in self-similarity (and its generalizations, fusions rules and S-adic systems), algebraic developments connected to physics, games and undecidability questions, and the spectrum of substitution tilings.
Mathematics Of Aperiodic Order
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Author : Johannes Kellendonk
language : en
Publisher: Birkhäuser
Release Date : 2015-06-05
Mathematics Of Aperiodic Order written by Johannes Kellendonk and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-05 with Mathematics categories.
What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically? Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics. This book offers an overview of the state of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomology and non-commutative geometry, the Pisot substitution conjecture, aperiodic Schrödinger operators, and connections to arithmetic number theory.
Algebraic Informatics
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Author : Traian Muntean
language : en
Publisher: Springer
Release Date : 2013-08-20
Algebraic Informatics written by Traian Muntean and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-20 with Computers categories.
This book constitutes the refereed proceedings of the 5th International Conference on Algebraic Informatics, CAI 2013, held in Porquerolles, France in September 2013. The 19 revised full papers presented together with 5 invited articles were carefully reviewed and selected from numerous submissions. The papers cover topics such as data models and coding theory; fundamental aspects of cryptography and security; algebraic and stochastic models of computing; logic and program modelling.