Differentiability of SRB (Sinai-Ruelle-Bowen) measure of a diffeomorphism depending on a parameter, when there are tangencies of stable and unstable manifolds.

David Ruelle
22/11/2017 , 15:30 | Sala 236

He argues that if the SRB measure has no zero Lyapunov exponent, if its unstable dimension is greater than 1/2, and if it is exponentially mixing, then the (formal) expression for the first derivative of SRB is well-defined.