منابع مشابه
On Differentiability of Srb States for Partially Hyperbolic Systems
Consider a one parameter family of diffeomorphisms fε such that f0 is an Anosov element in a standard abelian Anosov action having sufficiently strong mixing properties. Let νε be any u-Gibbs state for fε. We prove (Theorem 1) that if A is a C ∞ function then the map A → νε(A) is differentiable at ε = 0. This implies (Corollary 1) that the difference of Birkhoff averages of the perturbed and un...
متن کاملInnnite Dimensional Srb Measures
We review the basic steps leading to the construction of a Sinai-Ruelle-Bowen (SRB) measure for an innnite lattice of weakly coupled expanding circle maps, and we show that this measure has exponential decay of space-time correlations. First, using the Perron-Frobenius operator, one connects the dynamical system of coupled maps on a d-dimensional lattice to an equilibrium statistical mechanical...
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For any C expanding map f of the circle we study the equilibrium states for the potential ψ = − log |f ′|. We formulate a C generalization of Pesin’s Entropy Formula that holds for all the SRB measures if they exist, and for all the (necessarily existing) SRB-like measures. In the C-generic case Pesin’s Entropy Formula holds for a unique SRB measure which is not absolutely continuous with respe...
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Data Grids are becoming increasingly important in scientific communities for sharing large data collections and for archiving and disseminating them in a digital library framework. The Storage Resource Broker provides transparent virtualized middleware for sharing data across distributed, heterogeneous data resources separated by different administrative and security domains. The MySRB is a web...
متن کاملSRB-like Measures for C Dynamics
For any continuous map f : M → M on a compact manifold M , we define the SRB-like probabilities as a generalization of Sinai-Ruelle-Bowen (i.e. physical) measures. We prove that f has SRB-like measures, even if SRB measures do not exist. We prove that the definition of SRB-like measures is optimal, provided that the purpose of the researcher is to describe the asymptotic statistics for Lebesgue...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1997
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200050134