Last edited by Sashakar
Sunday, July 19, 2020 | History

7 edition of Substitution dynamical systems, spectral analysis found in the catalog.

Substitution dynamical systems, spectral analysis

by Martine QueffГ©lec

  • 357 Want to read
  • 6 Currently reading

Published by Springer-Verlag in Heidelberg, New York .
Written in English

    Subjects:
  • Point mappings (Mathematics),
  • Spectral theory (Mathematics),
  • Differentiable dynamical systems

  • Edition Notes

    Includes bibliographical references (p. 335-344) and index.

    StatementMartine Queffélec
    SeriesLecture notes in mathematics -- 1294, Lecture notes in mathematics (Springer-Verlag) -- 1294.
    Classifications
    LC ClassificationsQA614.8 .Q44 2010
    The Physical Object
    Paginationxv, 351 p. ;
    Number of Pages351
    ID Numbers
    Open LibraryOL25060440M
    ISBN 103642112110
    ISBN 109783642112119
    LC Control Number2010920970
    OCLC/WorldCa608489583

    [22] M. Queff´ elec, Substitution Dynamical Systems - Spe ctr al Analysis, Springer Lecture Notes in Mathematics (). [23] , Physica D 19 () , and references therein.   Substitution dynamical systems, are of great relevance to many branches of Physics and Mathematics including geometry, combinatorics, chaos and ergodic theory, spectral analysis, number theory, fractals and tilings.

    About this book. Bringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid and fluid mechanics, this book presents state-of-the-art approaches to a wide spectrum of new and challenging stability problems. Nonlinear Physical Systems: Spectral Analysis, Stability. Let (X, p, T) be an aperiodic dynamical system. Set S f = f-\-\-foTm~, where / is a measurable function on X. Let Y(t) be one of a class of self-similar process with a "nice" spectral.

    This paper is devoted to the spectral theory of substitution systems and continues the work started in [10,11]. In [10] we gave a formula for spectral measures of "cylindrical" functions in the. A notable feature of the text that increases its appeal is the author's inclusion of applications of the theory of semigroups to partial differential equations, dynamical systems, physics, and probability. This book also includes several advanced topics-such as measure spaces, spectral decompositions, and fractional calculus-but Applebaum.


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Substitution dynamical systems, spectral analysis by Martine QueffГ©lec Download PDF EPUB FB2

“The first edition of this classical book appeared in Substitution dynamical systems – spectral analysis, Lecture Notes in Mathematics. a very important book that everybody interested in automatic and substitutive (morphic) sequences and their associated dynamical systems should definitely possess.” (Jean-Paul Allouche, Zentralblatt MATH, Vol.

)Author: Martine Queffélec. As the title suggests, the aim of Substitution dynamical systems initial version of this book was the spectral study of the associated dynamical systems: the first chapters consisted in a detailed introduction to the mathematical notions involved, and the description of the spectral invariants followed in the closing chapters.

“The first edition of this classical book appeared in Substitution dynamical systems – spectral analysis, Lecture Notes in Mathematics.

a very important book that everybody interested in automatic and substitutive (morphic) sequences and their associated dynamical systems should definitely possess.” (Jean-Paul Allouche, Zentralblatt MATH, Vol.

)Manufacturer: Springer. Substitution Dynamical Systems-Spectral Analysis. Authors; Martine Queffélec; Book. Citations; 4k Downloads; Part of the Lecture Notes in Mathematics book series (LNM, volume ) Log in to check access. Buy eBook. USD Instant download Eigenvalues of substitution dynamical system.

Martine Queffélec. Pages Matrices of. Book Title:Substitution Dynamical Systems - Spectral Analysis (Lecture Notes in Mathematics) This volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of.

Substitution Dynamical Systems - Spectral Analysis Read While You Wait - Get immediate ebook access, if available*, when you order a print book Mathematics Algebra. Substitution Dynamical Systems - Spectral Analysis. Authors: Queffélec, Martine Show next edition Free Preview. Buy this bookBrand: Springer-Verlag Berlin Heidelberg.

This volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata. Those sequences demonstrate fairly simple combinatorical and arithmetical properties and naturally appear in various domains.

This volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata. Many readers will benefit from the introductory chapters on the spectral theory of dynamical systems.

Download from free file storage Resolve the captcha to access the links. Cite this chapter as: Queffélec M. () Spectral Theory of Dynamical Systems. In: Substitution Dynamical Systems - Spectral Analysis. Lecture Notes in Mathematics, vol Queffélec M. () Eigenvalues of substitution dynamical system.

In: Substitution Dynamical Systems-Spectral Analysis. Lecture Notes in Mathematics, vol Queffélec M. () Dynamical systems aristing from substitutions. In: Substitution Dynamical Systems-Spectral Analysis.

Lecture Notes in Mathematics, vol Substitution Dynamical Systems - Spectral Analysis 作者: Martine Queffélec 出版社: Springer 出版年: 页数: 定价: USD 装帧: Paperback 丛书: Lecture Notes in Mathematics. Then we will focus on the spectral analysis of some special classes of dynamical systems, including K-automorphisms, discrete ergodic systems, Gaussian systems, rank-1 transformations and some others.

Additional topics will be covered time permitting. Substitution Dynamical Systems - Spectral Analysis: Second Edition (lecture Notes In Mathematics) by Martine Queffelec / / English / PDF Read Online MB Download.

Spectral theory for dynamical systems arisen by substitutions Anne Siegel. Œ p.1/ (see Queffelec’s book). Œ p.5/ (PoincarØ) Self-similar structure: the system dened by the rst return map is conjugated to the original system.

Basic idea: a substitution is hidden behind each self-similar system. Œ p.6/ Self-similar. Additional Physical Format: Online version: Queffélec, Martine. Substitution dynamical systems, spectral analysis.

Berlin ; New York: Springer-Verlag, From the reviews of the second edition:"The first edition of this classical book appeared in Substitution dynamical systems - spectral analysis, Lecture Notes in Mathematics.

a very important book that everybody interested in automatic and substitutive (morphic) sequences and their associated dynamical systems should definitely possess.".

We also give a new criterion for such an eigenfunction to be a coboundary, as well as a new characterization of substitution dynamical systems with bounded discrepancy. Substitution Dynamical Systems—Spectral Analysis (Lecture Notes. This is a bijective substitution and so, as discussed in Sectionwe have that there is a continuous spectrum component to its dynamical system.

A complete spectral analysis of the system appears in [18]. N.P. Frank / Topology and its Applications () 44–69 49 Fig.

Factoring the sequence from Example 4 onto two letters. Example 4. Get this from a library. Substitution dynamical systems-spectral analysis. [Martine Queffelec].

Spectral measure of the Thue–Morse sequence and the dynamical system and random walk related to it - Volume 36 Issue 4 - LI PENG, TETURO KAMAE Substitution Dynamical Systems—Spectral Analysis (Lecture Notes in Mathematics, ). Springer, Berlin,   Durand, F.

Host, C. Skau, Substitution dynamical systems, Bratteli diagrams and dimension groups, Ergodic Theory Dyn. Syst. 19 () – [19] S.

Ferenczi, C. Mauduit, Transcendence of numbers with a low complexity expansion, J. Number Theory 67 () – [20].By systematically studying the factors (in the sense of dynamical systems theory) of a substitution dynamical system, one can reach a better understanding of spectral and topological properties.