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Wolf C. — Generalized Physical and SRB Measures for Hyperbolic Diffeomorphisms
Wolf C. — Generalized Physical and SRB Measures for Hyperbolic Diffeomorphisms



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Название: Generalized Physical and SRB Measures for Hyperbolic Diffeomorphisms

Автор: Wolf C.

Аннотация:

In this paper we introduce the notion of generalized physical and SRB measures. These measures naturally generalize classical physical and SRB measures to measures which are supported on invariant sets that are not necessarily attractors. We then perform a detailed case study of these measures for hyperbolic Henon maps. For this class of systems we are able to develop a complete theory about the existence, uniqueness, finiteness, and properties of these natural measures. Moreover, we derive a classification for the existence of a measure of full dimension. We also consider general hyperbolic surface diffeomorphisms and discuss possible extensions of, as well as the differences to, the results for Henon maps. Finally, we study the regular dependence of the dimension of the generalized physical/SRB measure on the diffeomorphism. For the proofs we apply various techniques from smooth ergodic theory including the thermodynamic formalism.


Язык: en

Рубрика: Физика/

Тип: Статья

Статус предметного указателя: Неизвестно

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Год издания: 2006

Количество страниц: 28

Добавлена в каталог: 03.11.2013

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