Polina Vytnova is visiting Imperial School London as we speak (Tuesday 30 January) to provide a chat within the Dynamical Techniques Seminar Collection. The title is “Estimating the spectral radius of the switch operator for an infinite IFS“. A preferred strategy to computing Hausdorff dimension of restrict units depends on the Ruelle-Bowen components. It connects the Hausdorff dimension to the spectral radius of an acceptable nuclear operator. The spectral radius can then be approached through the dynamical zeta perform or through finite rank approximations. On this discuss, Polina will focus on the purposeful evaluation behind the latter within the setting of infinite hyperbolic iterated perform techniques arising from analytic households. The discuss is predicated on joint work with C. Wormell (ANU). The picture beneath reveals a birds-eye view of Imperial School.