In this paper, we expose some of the analytical framework used to prove the differentiability of equilibrium states probabilities with respect to the dynamics. We explore the relationship between Birkhoff metrics in cones and their corresponding anisotropic spaces and prove some useful folklore theorems. We apply that framework to revisit several examples recently studied in the research works about equilibrium states.
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Research Article| January 22 2020
Analytical techniques for linear response formula of equilibrium states
Special Collection: Linear Response Theory: Potentials and Limits
Armando Castro; Analytical techniques for linear response formula of equilibrium states. Chaos 1 January 2020; 30 (1): 013134. https://doi.org/10.1063/1.5122810
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