3 papers
math.DS2008
Alternative proofs of linear response for piecewise expanding unimodal maps
Viviane Baladi, Daniel Smania
We give two new proofs that the SRB measure of a C^2 path f_t of unimodal piecewise expanding C^3 maps is differentiable at 0 if f_t is tangent to the topological class of f_0. The…
math.DS2008
Analyticity of the SRB measure for holomorphic families of quadratic-like Collet-Eckmann maps
Viviane Baladi, Daniel Smania
We show that if f_t is a holomorphic family of quadratic-like maps with all periodic orbits repelling so that for each real t the map f_t is a real Collet-Eckmann S-unimodal map th…
math.DS2002
Infinitesimal contraction of the Feigenbaum renormalization operator in the horizontal direction
Daniel Smania
In this short note, we give a sketch of a new proof of the exponential contraction of the Feigenbaum renormalization operator in the hybrid class of the Feigenbaum fixed point. The…