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arXiv:1708.01055 [math.DS]AbstractReferencesReviewsResources

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

Malo Jézéquel

Published 2017-08-03Version 1

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.

Categories: math.DS
Subjects: 37C30
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