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Titlebook: Substitutions in Dynamics, Arithmetics and Combinatorics; N. Pytheas Fogg,Valéré Berthé,Anne Siegel Book 2002 Springer-Verlag Berlin Heide

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书目名称Substitutions in Dynamics, Arithmetics and Combinatorics
编辑N. Pytheas Fogg,Valéré Berthé,Anne Siegel
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Substitutions in Dynamics, Arithmetics and Combinatorics;  N. Pytheas Fogg,Valéré Berthé,Anne Siegel Book 2002 Springer-Verlag Berlin Heide
描述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.
出版日期Book 2002
关键词Alphabet; Combinatorics; Diophantine approximation; Partition; Symbolic dynamics; automata; automata seque
版次1
doihttps://doi.org/10.1007/b13861
isbn_softcover978-3-540-44141-0
isbn_ebook978-3-540-45714-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2002
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Polynomial dynamical systems associated with substitutionstations just differ by a change of coordinates, so one should be interested in quantities invariant by conjugacy; the trace is one such quantity, so that, for a representation ø, one is interested in studying tr ø(.), for an element . of the free group.
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978-3-540-44141-0Springer-Verlag Berlin Heidelberg 2002
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Substitutions in Dynamics, Arithmetics and Combinatorics978-3-540-45714-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Substitutions and partitions of the set of positive integers
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