An inequality for the Ljapunov exponent of an ergodic invariant measure for a piecewise monotonic map of the interval

References

• The Hausdorff Dimension of an Ergodic Invariant Measure for a Piecewise Monotonic Map of the IntervalFranz Hofbauer, Peter Raith — 1992
• Lifting measures to Markov extensionsGerhard Keller — 1989
• An inequality for the entropy of differentiable mapsDavid Ruelle — 1978
• Topics in Ergodic TheoryWilliam Parry — 1981

Cited by

• The recurrence dimension for piecewise monotonic maps of the intervalFranz Hofbauer — 2005
• Recurrence, Dimensions, and Lyapunov ExponentsBenoît Saussol, Serge Troubetzkoy, Sandro Vaienti — 2001
• Fractal properties of invariant subsets for piecewise monotonic maps on the intervalFranz Hofbauer, Mariusz Urbański — 1994
• Equilibrium states beyond specification and the Bowen propertyVaughn Climenhaga, Daniel J. Thompson — 2011
• Multifractal dimensions for invariant subsets of piecewise monotonic interval mapsFranz Hofbauer, Peter Raith, Thomas Steinberger — 2003
• Multifractal spectra of Birkhoff averages for a piecewise monotone interval mapFranz Hofbauer — 2010
• On the relations between positive Lyapunov exponents, positive entropy, and sensitivity for interval mapsAlejo Barrio Blaya, Vı́ctor Jiménez López — 2011
• Possible jumps of entropy for interval mapsMichał Misiurewicz — 2001
• Equilibrium States and Hausdorff Measures for Interval MapsFranz Hofbauer, Gerhard Keller — 1993
• Hausdorff and packing dimensions for ergodic invariant measures of two-dimensional Lorenz transformationsFranz Hofbauer — 2009
• Entropy formula and continuity of entropy for piecewise expanding mapsJosé F. Alves, António Pumariño — 2018
• Free Energy and Equilibrium States for Families of Interval MapsNeil Dobbs, Mike Todd — 2015
• Phase transitions for transitive local diffeomorphism with break points on the circle and Holder continuous potentialsThiago Bomfim, Afonso Fernandes — 2023
• Entropy formula for systems with inducing schemesJosé F. Alves, David Mesquita — 2021
• Hofbauer Hausdorff and packing dimensions for ergodic invariant measures of two-dimensional Lorenz transformationsCommentationes Mathematicae Universitatis Carolinae — 2013
• THE FRACTAL DIMENSION OF INVARIANT SUBSETS FOR PIECEWISE MONOTONIC MAPS ON THE INTERVALF. Hofbauer — 1999

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