2 papers
math.DS2025
Periodic approximation of topological Lyapunov exponents and the joint spectral radius for cocycles of mapping classes of surfaces
Anders Karlsson, Reza Mohammadpour
We study cocycles taking values in the mapping class group of closed surfaces and investigate their leading topological Lyapunov exponent. Under a natural closing property, we show…
math.GR2024
Torsion groups of subexponential growth cannot act on finite-dimensional CAT(0)-spaces without a fixed point
Hiroyasu Izeki, Anders Karlsson
We show that finitely generated groups which are Liouville and without infinite finite-dimensional linear representations must have a global fixed point whenever they act by isomet…