Multifractal Analysis for Quotients of Birkhoff Sums for Countable Markov Maps

DOI10.1093/IMRN/RNT204zbMath1359.37050arXiv1303.2596OpenAlexW2963145338MaRDI QIDQ5174213

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Publication date: 17 February 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2596

zbMATH Keywords

variational principlemultifractal analysiscountable Markov maps

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Related Items (9)

On upper and lower fast Khintchine spectra of continued fractions ⋮ Infinite non-conformal iterated function systems ⋮ Multifractal analysis of weighted ergodic averages ⋮ Birkhoff spectrum for piecewise monotone interval maps ⋮ Transience and multifractal analysis ⋮ Full dimensional sets of reals whose sums of partial quotients increase in certain speed ⋮ The Hausdorff dimension spectrum of Renyi-like continued fractions ⋮ Counting the Lyapunov inflections in piecewise linear systems* ⋮ Multifractal spectrum of quotients of Birkhoff averages for a family of quadratic maps

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