Analyticity of the Susceptibility Function for Unimodal Markovian Maps of the Interval
Yunping Jiang, David Ruelle
Abstract
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 general unimodal Markovian case (assuming f real analytic). We hope that it will similarly be possible to analyze maps satisfying the Collet-Eckmann condition. Eventually, as explained in [Ru], application of a theorem of Whitney [Wh] should prove differentiability of the map fρf restricted to a suitable set.
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