Non-invertible planar self-affine sets

02.06.2022 15:15 - 17:15

Antti Käenmäki (University of Oulu)

Abstract: We compare the dimension of a non-invertible self-affine set to the dimension of the respective invertible self-affine set. In particular, for generic planar self-affine sets, we show that the dimensions coincide when they are large and differ when they are small. Our study relies on thermodynamic formalism where, for dominated and irreducible matrices, we completely characterize the behavior of the pressures.

Organiser:

H. Bruin, R. Zweimüller

Location:

SR 09, 2. OG, OMP 1