Absolutely continuous invariant measures for maps with flat tops

DOI10.1007/BF02698845zbMath0703.58030OpenAlexW2011885500MaRDI QIDQ916178

Michał Misiurewicz, Michael Benedicks

Publication date: 1989

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1989__69__203_0

zbMATH Keywords

critical pointsinvariant measure

Mathematics Subject Classification ID

Ergodic theory (37A99)

Related Items (13)

Measure preserving transformations similar to Markov shifts ⋮ Free Energy and Equilibrium States for Families of Interval Maps ⋮ Repellers for non-uniformly expanding maps with singular or critical points ⋮ Infinite measure preserving transformations with compact first regeneration ⋮ On cusps and flat tops ⋮ Wild attractors and thermodynamic formalism ⋮ Weakly attracting repellors for piecewise convex maps ⋮ Nice sets and invariant densities in complex dynamics ⋮ The pressure function for infinite equilibrium measures ⋮ Large deviation principle for \(S\)-unimodal maps with flat critical points ⋮ Perturbing Misiurewicz parameters in the exponential family ⋮ Invariant measures for interval maps with different one-sided critical orders ⋮ Horseshoes for \(\mathcal{C}^{1+\alpha}\) mappings with hyperbolic measures

Cites Work

• Hyperbolicity and invariant measures for general \(C^ 2\) interval maps satisfying the Misiurewicz condition
• Absolutely continuous measures for certain maps of an interval
• Structure of mappings of an interval with zero entropy
• Unnamed Item

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