Event Type:

Number Theory Seminar

Date/Time:

Tuesday, October 23, 2018 - 16:00 to 16:45

Location:

Bexell 102

Local Speaker:

Abstract:

We consider a certain two-parameter family of automorphisms of the affine plane over a complete, locally compact non-Archimedean field. Each of these automorphisms admits a chaotic attractor on which it is topologically conjugate to a full two-sided shift map, and the attractor supports a unit Borel measure which describes the distribution of the forward orbit of Haar-almost all points in the basin of attraction. We also compute the Hausdorff dimension of the attractor, which is non-integral.