Dynamical Systems seminar - Computing the Hausdorff dimension of the Apollonian gasket

Speaker: Polina Vytnova (University of Surrey)

Abstract: We combine the ideas developed in a recent joint work with M. Pollicott on Hausdorff dimension estimates, (Transactions of the AMS, Ser. B, Vol. 9, pp. 1102--1159) with the approach to systems with neutral fixed points by C. Wormell (Efficient computation of statistical properties of intermittent dynamics, arXiv: 2106.01498) to rigorously compute the Hausdorff dimension of the Apollonian gasket.