362 citations · 1.1k across the 36 of their papers we have counts for
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Linear response theory for diffeomorphisms with tangencies of stable and unstable manifolds. [A contribution to the Gallavotti-Cohen chaotic hypothesis.]
David Ruelle
This note presents a non-rigorous study of the linear response for an SRB (or `natural physical') measure of a diffeomorphism in the presence of tangencies of the stable an…
Structure and f-dependence of the a.c.i.m. for a unimodal map f of Misiurewicz type
David Ruelle
By using a suitable Banach space on which we let the transfer operator act, we make a detailed study of the ergodic theory of a unimodal map of the interval in the Misiurewicz…
Analyticity of the Susceptibility Function for Unimodal Markovian Maps of the Interval
Yunping Jiang, David Ruelle
In a previous note [Ru] the susceptibility function was analyzed for some examples of maps of the interval. The purpose of the present note is to give a concise treatment of the ge…
Differentiation of SRB states for hyperbolic flows
David Ruelle
Let the vector field on define a flow with an Axiom A attractor depending continuously on . Let be the SRB measure…
Differentiating the absolutely continuous invariant measure of an interval map f with respect to f
David Ruelle
Let the map have a.c.i.m. (absolutely continuous -invariant measure with respect to Lebesgue). Let be the change of corresponding to a perturbat…
Absolutely singular dynamical foliations
David Ruelle, Amie Wilkinson
We show that for the C^1-open set of partially hyperbolic diffeomorphisms constructed in (M. Shub and A. Wilkinson, "Pathological foliations and removable zero exponents," Invent.…
Dynamical zeta functions for maps of the interval
David Ruelle
A dynamical zeta function and a transfer operator $\scr L$ are associated with a piecewise monotone map of the interval and a weight function . The analytic prop…