On ergodic averages for parabolic product flows

DOI10.24033/bsmf.2770zbMath1414.37001arXiv1612.09142OpenAlexW4212974557WikidataQ128442515 ScholiaQ128442515MaRDI QIDQ5380610

Alexander I. Bufetov, B. M. Solomyak

Publication date: 5 June 2019

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.09142

zbMATH Keywords

Hölder continuityspectral measuresubstitution dynamical system

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Symbolic dynamics (37B10)

Related Items (5)

Multidimensional continued fractions and symbolic codings of toral translations ⋮ Self-similarity and spectral theory: on the spectrum of substitutions ⋮ Hölder regularity for the spectrum of translation flows ⋮ Twisted translation flows and effective weak mixing ⋮ Twisted cohomological equations for translation flows

Cites Work

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• Substitutions in dynamics, arithmetics and combinatorics
• Substitution dynamical systems. Spectral analysis
• Symbolic discrepancy and self-similar dynamics.
• On the modulus of continuity for spectral measures in substitution dynamics
• Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus 1
• Dynamics of self-similar tilings
• Coincidence for substitutions of Pisot type
• When size matters: subshifts and their related tiling spaces
• Two-symbol Pisot substitutions have pure discrete spectrum
• Substitution dynamical systems : algebraic characterization of eigenvalues
• On the Pisot Substitution Conjecture

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