S. Friedland. Discrete Lyapunov exponents and Hausdorff dimension. Ergodic Theory Dynam. Systems, 20(1):145--172, 2000. Home/Search Document Details and Download
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Hausdorff Dimension, Strong Hyperbolicity and Complex Dynamics - S. Friedland, G. Ochs (1997) Self-citation (Friedland) (Correct)
....of Omega Gamma It is usually a highly nontrivial problem to find HD( Omega Gamma3 The seminal work of Bowen [Bow2] gives HD( Omega Gamma as the solution to P (tOE) 0 for some special expanding maps. Here P (g) denotes the topological pressure. See also [Rue2] and the recent works [Bar] and [Fri2]. Denote by E the set of all f invariant ergodic probability Borel measures on M . Let HD( 2 E be the Hausdorff dimension of HD( inf Y; Y ) 1 HD(Y ) It is known that HD( is easy to compute in many general cases. See for example [Man] You] L Y] and [Fri, 1 2] In the above ....
....: 0:1) In fact in the examples studied in [Bow2] and [Rue2] one has the equality in (0. 1) In these cases HD( Omega Gamma = HD( and is a unique Gibbs measure given by thermodynamics formalism which is equivalent (absolutely continuous) to the Hausdorff measure on Omega Gamma See also [Fri2]. In general a strict inequality holds in (0.1) To motivate our results consider the following example. Let M be a compact surface equipped with a Riemannian metric. Assume that f : M M is smooth diffeomorphism, i.e. f 2 Diff 1 ff (M) ff 0. For 2 E let h( 1 ( 2 ( be the measure ....
S. Friedland, Discrete Lyapunov exponents and Hausdorff dimension, preprint 1997.
A multifractal formalism for growth rates and.. - Kesseböhmer, Stratmann (2001) (Correct)
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S. Friedland. Discrete Lyapunov exponents and Hausdorff dimension. Ergodic Theory Dynam. Systems, 20(1):145--172, 2000.
A multifractal formalism for growth rates and.. - Kesseböhmer, Stratmann (2001) (Correct)
No context found.
S. Friedland. Corrections to: "Discrete Lyapunov exponents and Hausdorff dimension" [Ergodic Theory Dynam. Systems 20 (2000), no. 1, 145--172]. Ergodic Theory Dynam. Systems, 20(5):1551, 2000.
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