Benedict Sewell: An upper bound on the Hausdorff dimension of the Rauzy gasket

The Rauzy gasket is a subset of the standard two-simplex, representing an important subset of parameter space in numerous settings.
As a fractal attractor, it is projective, parabolic and non-conformal; meaning that even the most trivial bounds on its (Hausdorff) dimension are hard to obtain.
In this hybrid talk (featuring joint work with Mark Pollicott), we discuss how an elementary method, using renewal theory and Markov partitions, leads to the best known upper bound on its dimension.
More detail here: arxiv.org/abs/2110.07264

Zoom link: https://zoom.us/j/93746696898?pwd=b1J2MnEwMVdDVElPUFRkYWdtVXdWdz09
Meeting ID: 937 4669 6898
Passcode: 280561