Mike Todd

Continuity of measures in nonuniformly hyperbolic settings

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.