The Hausdorff dimension of some random invariant graphs

DOI10.1088/0951-7715/25/3/743zbMath1247.37021OpenAlexW1994219984MaRDI QIDQ2882407

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Publication date: 4 May 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: http://eprints.maths.manchester.ac.uk/1619/1/graphs_nonlinearity.pdf

zbMATH Keywords

Hausdorff dimensioneverywhere continuous but nowhere differentiable functionrandom phase shiftWeierstrass-type function

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Random dynamical systems (37H99) Dimension theory of smooth dynamical systems (37C45)

Related Items (1)

Invariant graphs of a family of non-uniformly expanding skew products over Markov maps

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