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ON DIFFERENTIABILITY OF SRB STATES FOR PARTIALLY HYPERBOLIC SYSTEMS
DIFFERENTIABILITY HYPERBOLIC SYSTEMS
2015/9/29
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-...
Singularities of the susceptibility of an SRB measure in the presence of stable-unstable tangencies
SRB measure stable-unstable tangencies
2010/4/1
Let $\rho$ be an SRB (or "physical"), measure for the discrete time evolution given by a map $f$, and let $\rho(A)$ denote the expectation value of a smooth function $A$. If $f$ depends on a parameter...