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Linear response formula for piecewise expanding unimodal maps

Linear response formula for piecewise expanding unimodal maps

The average of a smooth function φ with respect to the SRB measure μt of a smooth one-parameter family ft of piecewise expanding interval maps is not always Lipschitz (Baladi 2007 Commun. Math. Phys. 275 839–59, Mazzolena 2007 Master's Thesis Rome 2, Tor Vergata). We prove that if ft is …