ON SUMMABILITY CONDITIONS FOR INTERVAL MAPS

DOI10.1017/S0004972713000464zbMath1337.37027OpenAlexW2153616799MaRDI QIDQ5409882

Huaibin Li

Publication date: 15 April 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972713000464

zbMATH Keywords

interval mapssummability conditionbackward contracting

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05)

Cites Work

• Large derivatives, backward contraction and invariant densities for interval maps
• Invariant measures exist under a summability condition for unimodal maps
• Positive Liapunov exponents and absolute continuity for maps of the interval
• A connecting lemma for rational maps satisfying a no-growth condition
• Dimensions of the Julia sets of rational maps with the backward contraction property

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