Differentiation of SRB states for hyperbolic flows

David Ruelle

Let the ${\mathcal{C}}^3$ vector field $\mathcal{X}+aX$ on $M$ define a flow $(f_a^t)$ with an Axiom A attractor ${\Lambda }_a$ depending continuously on $a\in (-\epsilon ,\epsilon )$. Let ${\rho }_a$ be the SRB measure…