Two bifurcation sets arising from the beta transformation with a hole at 0

DOI10.1016/j.indag.2020.03.001zbMath1458.37053arXiv1904.07007OpenAlexW3009831997MaRDI QIDQ2182008

Simon Baker, Derong Kong

Publication date: 20 May 2020

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.07007

zbMATH Keywords

local dimensionbeta transformationbifurcation setssurvivor set

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Dynamical systems involving maps of the interval (37E05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Dimension theory of smooth dynamical systems (37C45)

Related Items (1)

The bifurcation set as a topological invariant for one-dimensional dynamics

Cites Work

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• Unique expansions of real numbers
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• Symbolic dynamics for $\beta$-shifts and self-normal numbers
• Almost Every Number Has a Continuum of b-Expansions
• The local Hölder exponent for the dimension of invariant subsets of the circle
• Denseness of intermediate $\beta $-shifts of finite-type
• An Introduction to Symbolic Dynamics and Coding
• The bifurcation set as a topological invariant for one-dimensional dynamics

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