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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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21#
發(fā)表于 2025-3-25 05:24:40 | 只看該作者
Sozialr?umliche Praxis und Sozialraumarbeit are quantities of global nature, can be built (in a rigorous mathematical sense) respectively with the help of the local entropy and the pointwise dimension. In the case of the entropy this is due to Shannon-McMillan-Breiman’s theorem: the Kolmogorov-Sinai entropy is obtained integrating the local
22#
發(fā)表于 2025-3-25 07:35:45 | 只看該作者
23#
發(fā)表于 2025-3-25 14:56:13 | 只看該作者
24#
發(fā)表于 2025-3-25 16:06:43 | 只看該作者
Basic Notionsended to be an introduction to any of the three areas but instead to serve as a reference for the remaining chapters. Furthermore, it may be skipped without consequences, since whenever needed we shall refer in the main text of the book to the appropriate place in this chapter.
25#
發(fā)表于 2025-3-25 20:43:55 | 只看該作者
26#
發(fā)表于 2025-3-26 03:53:28 | 只看該作者
27#
發(fā)表于 2025-3-26 07:39:41 | 只看該作者
28#
發(fā)表于 2025-3-26 11:39:02 | 只看該作者
29#
發(fā)表于 2025-3-26 16:22:36 | 只看該作者
30#
發(fā)表于 2025-3-26 20:26:56 | 只看該作者
Andreas Borchert,Susanne Maurerx dimension to be strictly larger than their Hausdorff dimension, and thus a product of level sets may have a Hausdorff dimension that a priori need not be the sum of the dimensions of the level sets. Instead, we construct explicitly . measures concentrated on each product of level sets having the appropriate pointwise dimension.
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