4 papers
Bifurcation from the Kurth solution in galactic dynamics
Markus Kunze, Rafael Ortega
It will be shown that there exists an infinite-dimensional continuum of weak static solutions of the Vlasov-Poisson system that bifurcates from the Kurth solution. Each…
Martingales and Path-Dependent PDEs via Evolutionary Semigroups
Robert Denk, Markus Kunze, Michael Kupper
In this article, we develop a semigroup-theoretic framework for the analytic characterisation of martingales with path-dependent terminal conditions. Our main result establishes th…
Evolutionary semigroups on path spaces
Robert Denk, Markus Kunze, Michael Kupper
We introduce the concept evolutionary semigroups on path spaces, generalizing the notion of transition semigroups to possibly non-Markovian stochastic processes. We study the basic…
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…