Polina Vytnova is visiting Imperial College London today (Tuesday 30 January) to give a talk in the Dynamical Systems Seminar Series. The title is “Estimating the spectral radius of the transfer operator for an infinite IFS“. A popular approach to computing Hausdorff dimension of limit sets relies on the Ruelle-Bowen formula. It connects the Hausdorff dimension to the spectral radius of a suitable nuclear operator. The spectral radius can then be approached via the dynamical zeta function or via finite rank approximations. In this talk, Polina will discuss the functional analysis behind the latter in the setting of infinite hyperbolic iterated function systems arising from analytic families. The talk is based on joint work with C. Wormell (ANU). The image below shows a birds-eye view of Imperial College.