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

Malo Jézéquel

doi:10.3934/dcds.2019039

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2019, Volume 39, Issue 2: 927-958. Doi: 10.3934/dcds.2019039

This issue Previous Article A general existence result for stationary solutions to the Keller-Segel system Next Article A Billingsley-type theorem for the pressure of an action of an amenable group

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

Malo Jézéquel^,

Institut de Mathématiques de Jussieu, 4 place Jussieu, 75252, Paris cedex 05, France

* Corresponding author: Malo Jézéquel
* Corresponding author: Malo Jézéquel

Received: February 2018

Revised: August 2018

Published: February 2019

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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 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.

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Mathematics Subject Classification: Primary: 37C30.

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References

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