The Hausdorff dimension of measures for iterated function systems which contract on average

DOI10.3934/DCDS.2008.22.235zbMath1160.37033OpenAlexW1975861126MaRDI QIDQ945443

Mark Pollicott, Thomas M. Jordan

Publication date: 12 September 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2008.22.235

zbMATH Keywords

Hausdorff dimensioniterated function schemecontraction on average

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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Dimension bounds for invariant measures of bi-Lipschitz iterated function systems ⋮ Dimension estimates for iterated function systems and repellers. Part II ⋮ The local dimensions of some Moran measures with open set condition ⋮ Dimension estimates for iterated function systems and repellers. Part I ⋮ Packing dimension of measures associated with \({\widetilde{Q}}\)-representation ⋮ The fine structure of the stationary distribution for a simple Markov process

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