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

  • * Corresponding author: Malo Jézéquel

    * Corresponding author: Malo Jézéquel
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  • 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 parameter regularity of dynamical determinants of expanding maps of the circle. Linear response can then be expressed in terms of periodic points of the perturbed dynamics.

    Mathematics Subject Classification: Primary: 37C30.


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