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math.AP2025
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…
math.PR2025
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…