Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Internationally recognised researchers look at developing trends in combinatorics with applications in the study of words and in symbolic dynamics. They explain the important concepts, providing a clear exposition of some recent results, and emphasise the emerging connections between these different fields. Topics include combinatorics on words, pattern avoidance, graph theory, tilings and theory of computation, multidimensional subshifts, discrete dynamical systems, ergodic theory, numeration systems, dynamical arithmetics, automata theory and synchronised words, analytic combinatorics, continued fractions and probabilistic models. Each topic is presented in a way that links it to the main themes, but then they are also extended to repetitions in words, similarity relations, cellular automata, friezes and Dynkin diagrams. The book will appeal to graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, tilings and stringology. It will also interest biologists using text algorithms.

Combinatorial analysis. --- Symbolic dynamics. --- Computer science. --- Informatics --- Science --- Dynamics, Symbolic --- Differentiable dynamical systems --- Combinatorics --- Algebra --- Mathematical analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Symbolic dynamics --- Symbolic dynamics. --- Coding theory. --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Dynamics, Symbolic --- Differentiable dynamical systems --- Dynamic systems --- Global analysis (Mathematics) --- Analyse globale (mathématiques) --- Differentiable dynamical systems. --- Systèmes dynamiques. --- Coding theory --- Analyse globale (mathématiques) --- Systèmes dynamiques --- Codes correcteurs d'erreurs (théorie de l'information) --- Error-correcting codes (information theory)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Combinatorial analysis --- Number theory --- Machine theory --- Analyse combinatoire --- Théorie des nombres --- Automates mathématiques, Théorie des --- Number Theory --- Combinatorial analysis. --- Machine theory. --- Number theory. --- Analyse combinatoire. --- Nombres, Théorie des. --- Automates mathématiques, Théorie des. --- Combinatorische analyse --- Computer science --- Dynamics (symbolic) --- Informatica --- Informatique --- Symbolic dynamics --- Théorie des nombres --- Automates mathématiques, Théorie des --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Logic, Symbolic and mathematical --- Recursive functions --- Robotics --- Number study --- Numbers, Theory of --- Algebra --- Combinatorics --- Mathematical analysis --- Théorie des automates mathématiques

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book mainly focuses on the roles of engraved symbols and ornamentation in Liangzhu culture. It categorizes the engraved symbols discovered in Liangzhu culture as means of ideographical expression and decoration, aspects that are explored in detail. Further, the engraved symbols and ornamentation are subdivided in terms of certain similarities, including the dragon and bird systems. A separate chapter is especially designed to help readers appreciate the typical paintings and symbols in selected objects and vessels. In this way, the book seeks to analyze and generate a particular formula so as to explore patterns in the thinking of Liangzhu’s people, thus deciphering the spiritual code of the Liangzhu world.

Signs and symbols. --- Symbolic dynamics. --- Liangzhu culture. --- Neolithic period --- Dynamics, Symbolic --- Differentiable dynamical systems --- Representation, Symbolic --- Semeiotics --- Signs --- Symbolic representation --- Symbols --- Abbreviations --- Omens --- Semiotics --- Sign language --- Symbolism --- Visual communication --- Prehistoric peoples. --- Cultural property. --- Archaeology. --- Semiotics. --- Prehistoric Archaeology. --- Archaeology and Heritage. --- Cultural Heritage. --- Semiology (Linguistics) --- Semantics --- Signs and symbols --- Structuralism (Literary analysis) --- Archeology --- Anthropology --- Auxiliary sciences of history --- History --- Antiquities --- Cultural heritage --- Cultural patrimony --- Cultural resources --- Heritage property --- National heritage --- National patrimony --- National treasure --- Patrimony, Cultural --- Treasure, National --- Property --- World Heritage areas --- Cavemen (Prehistoric peoples) --- Early man --- Man, Prehistoric --- Prehistoric archaeology --- Prehistoric human beings --- Prehistoric humans --- Prehistory --- Primitive societies --- Human beings --- Antiquities, Prehistoric