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arXiv · 1708.01055

Parameter regularity of dynamical determinants of expanding maps of the circle and an application to linear response

Malo Jézéquel
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Abstract

In order to adapt to the differentiable setting a formula for linear response proved by Pollicott and Vytnova in the analytic setting, we show a result of regularity of dynamical determinants of expanding maps of the circle. The main tool is the decomposition of a transfer operator as a sum of a nuclear part and a "small" bounded part.

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Malo Jézéquel. 2017-08-03. Parameter regularity of dynamical determinants of expanding maps of the circle and an application to linear response. https://doi.org/10.3934/dcds.2019039

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