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Titlebook: Dimension and Recurrence in Hyperbolic Dynamics; Luis Barreira Book 2008 Birkhäuser Basel 2008 calculus.dimension theory.hyperbolic set.ma

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Fabian Kessl,Christian Reutlingerticular, we show that the mixed spectra are analytic in several contexts. The analyticity follows from a conditional variational principle for the .-dimension which is also established in this chapter, and which is important in its own right. On the other hand, we show that there are many nonconvex mixed spectra.
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Monika Burmester,Norbert Wohlfahrtmay be able to recover information about a dynamical system from the information contained in its multifractal spectra. Unfortunately, in general, when we use a single spectrum there is no multifractal rigidity even for topological Markov chains on three symbols.
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Sozialräumliche Praxis und SozialraumarbeitLyapunov exponents. This allows us to whow that the Hausdorff dimension of a (nonergodic) invariant measure is equal to the essential supremum of the Hausdorff dimensions of the measures in an ergodic decomposition.
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Dimension of Irregular Setsmeasure. Nevertheless, it may be very large from the topological and dimensional points of view. This is the main theme of this chapter, where we also describe a general approach to the study of the .-dimension of irregular sets.
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