Symbolic discrepancy and self-similar dynamics.

DOI10.5802/aif.2079zbMath1066.11032OpenAlexW200813458MaRDI QIDQ1774095

Boris Adamczewski

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2004__54_7_2201_0

zbMATH Keywords

discrepancysubstitutionsmorphismssubshiftsbounded remainder sets

Mathematics Subject Classification ID

Related Items (26)

New rotation sets in a family of torus homeomorphisms ⋮ Sommes de Birkhoff itérées sur des extensions finies d'odomètres. Construction de solutions auto-similaires à des équations différentielles avec délai ⋮ Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus 1 ⋮ Block maps between primitive uniform and Pisot substitutions ⋮ On the asymptotic abelian complexity of morphic words ⋮ Topological mixing notions on Turing machine dynamical systems ⋮ Multidimensional continued fractions and symbolic codings of toral translations ⋮ Geometry, dynamics, and arithmetic of $S$-adic shifts ⋮ Balancedness and coboundaries in symbolic systems ⋮ Bracket words: A generalisation of Sturmian words arising from generalised polynomials ⋮ Self-similarity and spectral theory: on the spectrum of substitutions ⋮ Conjugacy of unimodular Pisot substitution subshifts to domain exchanges ⋮ Limit theorems for self-similar tilings ⋮ Rapid convergence to frequency for substitution tilings of the plane ⋮ Substitutions, symbolic codings, and discrepancy ⋮ Limit theorems for translation flows ⋮ On ergodic averages for parabolic product flows ⋮ Balances for fixed points of primitive substitutions. ⋮ On the modulus of continuity for spectral measures in substitution dynamics ⋮ Abelian properties of Parry words ⋮ Self affine Delone sets and deviation phenomena ⋮ Persistence of wandering intervals in self-similar affine interval exchange transformations ⋮ Birkhoff sum fluctuations in substitution dynamical systems ⋮ Singular substitutions of constant length ⋮ A combinatorial approach to products of Pisot substitutions ⋮ Statistics of patterns in typical cut and project sets

Cites Work

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• Unnamed Item
• Rotation encoding and self-similarity phenomenon
• Sequences, discrepancies and applications
• A summation formula related to the binary digits
• Substitution dynamical systems - spectral analysis
• Systèmes de numération et fonctions fractales relatifs aux substitutions. (Numeration systems and fractal functions related to substitutions)
• On sums of Rudin-Shapiro coefficients. II
• Digital sum problems and substitutions on a finite alphabet
• A characterization of substitutive sequences using return words
• An extension of Lagrange's theorem to interval exchange transformations over quadratic fields
• Prime flows in topological dynamics
• Nombres algébriques et substitutions
• Remarks on the remainder in Birkhoff's ergodic theorem
• Geometric realizations of substitutions
• Linearly recurrent subshifts have a finite number of non-periodic subshift factors
• Répartition des suites (nα)_n∈Net substitutions
• An Introduction to Symbolic Dynamics and Coding
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1

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