3 papers
math.DS2024
A Note on the Uniform Ergodicity of Dynamical Systems
Julian Hölz
We study the uniform ergodicity property for non-invertible topological and measure-preserving dynamical systems. It is shown that for topological dynamical systems uniform ergodic…
math.FA2023
Ultra Feller operators from a functional analytic perspective
Alexander Dobrick, Julian Hölz, Markus Kunze
It is a widely acknowledged fact that the product of two positive strong Feller operators on a Polish space enjoys the ultra Feller property. We present a functional analytic p…
math.FA2023
Uniform convergence of solutions to stochastic hybrid models of gene regulatory networks
Alexander Dobrick, Julian Hölz
In a recent paper by Kurasov, Lück, Mugnolo and Wolf, a hybrid gene regulatory network was proposed to model gene expression dynamics by using a stochastic system of coupled partia…