The baker’s map with a convex hole

DOI10.1088/1361-6544/aab595zbMath1394.37073arXiv1705.00698OpenAlexW2610172741MaRDI QIDQ3176535

Lyndsey Clark, Nikita Sidorov, Kevin G. Hare

Publication date: 23 July 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00698

zbMATH Keywords

open dynamical systembaker's map

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Symbolic dynamics (37B10)

Related Items (2)

Open maps: small and large holes with unusual properties ⋮ The \(k\)-transformation on an interval with a hole

Cites Work

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• Bijective and general arithmetic codings for Pisot toral automorphisms
• Bijective arithmetic codings of hyperbolic automorphisms of the \(2\)-torus, and binary quadratic forms
• The \(k\)-transformation on an interval with a hole
• Expanding Maps on Sets Which are Almost Invariant: Decay and Chaos
• Periodic Points, Escape Rates and Escape Measures
• Dispersing Billiards with Small Holes
• The doubling map with asymmetrical holes
• On the synchronizing properties of certain prefix codes

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