On the invariant density of the random \(\beta\)-transformation

DOI10.1007/s10474-013-0377-xzbMath1299.11011arXiv1303.1081OpenAlexW1982673290MaRDI QIDQ2453801

Tom Kempton

Publication date: 10 June 2014

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1081

zbMATH Keywords

natural extensionBernoulli convolutionbeta expansions

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Radix representation; digital problems (11A63)

Related Items (8)

Invariant densities for random continued fractions ⋮ Random Lochs’ Theorem ⋮ The random continued fraction transformation ⋮ The natural extension of the random beta-transformation ⋮ Shrinking random \(\beta\)-transformation ⋮ Invariant measure of rotational beta expansion and Tarski's Plank problem ⋮ Invariant densities for random systems of the interval ⋮ Invariant density functions of random -transformations

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• Almost Every Number Has a Continuum of b-Expansions

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