3 papers
math-ph2020
Random Möbius dynamics on the unit disc and perturbation theory for Lyapunov exponents
Florian Dorsch, Hermann Schulz-Baldes
Randomly drawn matrices induce a random dynamics on the Riemann sphere via the Möbius transformation. Considering a situation where this dynamics is restricted to the u…
math-ph2019
Pseudo-gaps for random hopping models
Florian Dorsch, Hermann Schulz-Baldes
For one-dimensional random Schrödinger operators, the integrated density of states is known to be given in terms of the (averaged) rotation number of the Prüfer phase dynamics. Thi…
math-ph2018
Random perturbations of hyperbolic dynamics
Florian Dorsch, Hermann Schulz-Baldes
A sequence of large invertible matrices given by a small random perturbation around a fixed diagonal and positive matrix induces a random dynamics on a high-dimensional sphere. For…