Birkhoff sum fluctuations in substitution dynamical systems

DOI10.1017/etds.2017.83zbMath1423.37010arXiv1505.01428OpenAlexW2963421950MaRDI QIDQ4968748

Younghwan Son, Elliot Paquette

Publication date: 9 July 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01428

zbMATH Keywords

Cantor setsBirkhoff sumscoboundary

Mathematics Subject Classification ID

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

Related Items (4)

Flexibility of statistical properties for smooth systems satisfying the central limit theorem ⋮ Asymptotics and limit theorems for horocycle ergodic integrals à la Ratner (with an appendix by Emilio Corso) ⋮ Temporal distributional limit theorems for dynamical systems ⋮ No temporal distributional limit theorem for a.e. irrational translation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The visits to zero of a random walk driven by an irrational rotation
• Substitutions in dynamics, arithmetics and combinatorics
• Substitution dynamical systems. Spectral analysis
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• A construction of transversal flows for maximal Markov automorphisms
• The spectra of nonnegative matrices via symbolic dynamics
• Power of words and recognizability of fixpoints of a substitution
• Coboundaries of irreducible Markov operators on \(C(K)\)
• Prefix-suffix automaton associated with a primitive substitution
• Symbolic discrepancy and self-similar dynamics.
• Central limit theorems for additive functionals of Markov chains.
• Randomness of the square root of 2 and the giant leap. I
• Randomness of the square root of 2 and the giant leap. II
• Finitely-additive measures on the asymptotic foliations of a Markov compactum
• Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus 1
• Valeurs propres des systèmes dynamiques définis par des substitutions de longueur variable
• Substitutional dynamical systems, Bratteli diagrams and dimension groups
• The spectra of nonnegative integer matrices via formal power series
• Reconnaissabilité des substitutions et complexité des suites automatiques
• Intrinsic Markov Chains
• Convergence of Baire measures
• Probability theory. A comprehensive course

This page was built for publication: Birkhoff sum fluctuations in substitution dynamical systems