A popular approach to Hausdorff dimension of limit sets relies on the Ruelle-Bowen formula, that 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 the finite rank approximations. We will discuss functional analysis behind the latter in the setting of infinite hyperbolic iterated function systems arising from analytic families. Based on joint work with C. Wormell.
Meeting ID: 852 4277 3200 Passcode: 103121