Linear response due to singularities
Wael Bahsoun (º¬Ðß²ÝÊÓƵ)
It is well known that a family of tent maps with bounded derivatives has no linear response (the absolutely continuous invariant measure is not differentiable with respect to perturbation) for typical deterministic perturbations changing the value of the turning point. In this talk we consider a tent-like family with a cusp at the turning point and show that for such a family we recover the linear response.
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