### Continuity of measures in nonuniformly hyperbolic settings

Ergodic Theory and Dynamical Systems Seminar

15th February 2024, 2:00 pm – 3:00 pm

Fry Building, G.07

Given some `good' (eg exponentially mixing) dynamical system with an equilibrium state $\mu$, the distance of an invariant measure $\mu'$ from this can be expressed via the so-called EKP inequality, which gives the difference in terms of a square root of a difference of pressure functions. We consider cases where the system is subexponentially mixing and show that in many such cases the square root must be replaced by a power related to the mixing rate. This is joint work with Iommi and Terhesiu.

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