Hausdorff dimension for piecewise monotonic maps
Peter Raith (1989)
Studia Mathematica
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Displaying similar documents to “A note on the construction of nonsingular Gibbs measures”
Hausdorff dimension for piecewise monotonic maps
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Manfred Denker, Gerhard Keller, Mariusz Urbański (1990)
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We show that the set of conical points of a rational function of the Riemann sphere supports at most one conformal measure. We then study the problem of existence of such measures and their ergodic properties by constructing Markov partitions on increasing subsets of sets of conical points and by applying ideas of the thermodynamic formalism.
Absolutely Continuous Invariant Measures for Expansive Rational Maps with Rationally Indifferent Periodic Points.
Manfred Denker, Mariusz Urbanski (1991)
Forum mathematicum
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