3 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Eventual cone invariance revisited
Jochen Glück, Julian Hölz
We consider finite-dimensional real vector spaces ordered by a closed cone with non-empty interior and study eventual nonnegativity of matrix semigroups $(e^{tA})_{t \ge…