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

横条

Fabian Kessl,Christian Reutlinger growing interest during the last decade, also in connection with other fields, including for example compression algorithms. We describe in this chapter several results that provide partial answers to the problem.

附录

Multidimensional Spectra and Number Theoryluding their “size” in terms of topological entropy and of Hausdorff dimension. It turns out that the corresponding multidimensional multifractal spectra exhibit several nontrivial phenomena that are absent in the one-dimensional case. A unifying element continues to be the use of the thermodynamic formalism.

佛刊

Hyperbolic Sets: Past and Futurex 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.

脱毛

Quantitative Recurrence and Dimension Theory growing interest during the last decade, also in connection with other fields, including for example compression algorithms. We describe in this chapter several results that provide partial answers to the problem.

营养

Repellers and Hyperbolic Setserbolic dynamics. We show in this chapter that indeed a similar approach can be effected for repellers and hyperbolic sets of conformal maps, using Markov partitions and essentially following the arguments for geometric constructions in Chapter 3.

adjacent

Urologist

符合规定

Intelligenzminderung (Geistige Behinderung)ny spectra that can be seen as potential multifractal moduli, in the sense that they may contain nontrivial information about the dynamical system. In particular, we describe in detail the multifractal analysis of the so-called .-dimension, which allows us to unify and generalize the results in Chapter 6.

高贵领导

组成

Ute Ziegenhain PD Dr.,Rüdiger von Kriesmeasure. 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.