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Discrete Lyapunov exponents and Hausdorff dimension
Published online by Cambridge University Press: 01 February 2000
Abstract
We study certain metrics on subshifts of finite type for which we define the discrete analogs of Lyapunov exponents. We prove Young's formula for $\mu$-Hausdorff dimension. We give sufficient conditions on the above metrics for which the Hausdorff dimension is given by thermodynamic formalism. We apply these results to the Hausdorff dimension of the limit sets of geometrically finite, purely loxodromic, Kleinian groups.
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- 2000 Cambridge University Press
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