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

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Sozialp?dagogik – P?dagogik des Sozialenerved in Section 3.1, one of the motivations for the study of geometric constructions is precisely the study of the dimension of invariant sets of hyperbolic dynamics. We show in this chapter that indeed a similar approach can be effected for repellers and hyperbolic sets of conformal maps, using Ma

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Sozialp?dagogik – P?dagogik des Sozialenional version of the existence of ergodic measures of maximal entropy. A crucial difference is that while the entropy map is upper semicontinuous, the map ν→dim. ν is neither upper semicontinuous nor lower semicontinuous. Our approach is based on the thermodynamic formalism. It turns out that for a

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Vernachl?ssigung, Misshandlung, Missbrauchubarea of the dimension theory of dynamical systems. Briefly speaking, it studies the complexity of the level sets of invariant local quantities obtained from a dynamical system. For example, we can consider Birkhoff averages, Lyapunov exponents, pointwise dimensions, and local entropies. These func

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Intelligenzminderung (Geistige Behinderung)namical systems and other invariant local quantities, besides the pointwise dimension considered in (6.1). With the purpose of unifying the theory, in 9 Barreira, Pesin and Schmeling proposed a general concept of multifractal analysis that we describe in this chapter. In particular, this provides ma

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Ute Ziegenhain PD Dr.,Rüdiger von Kriess. These spectra are obtained from multifractal decompositions such as the one in (7.1). In particular, we possess very detailed information from the ergodic, topological, and dimensional points of view about the level sets . in each multifractal decomposition. On the other hand, we gave no nontrivi

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Andreas Borchert,Susanne Maurerlocal entropy, and pointwise dimension. However, the theory of multifractal analysis described in the former chapters only considers separately each of these local quantities. This led Barreira, Saussol and Schmeling to develop in 20 a multidimensional version of the theory of multifractal analysis.

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