3 papers
math.PR2025
The stochastic evolution of an infinite population with logistic-type interaction
Yuri Kozitsky, Michael Röckner, Michael Röckner
An infinite population of point entities dwelling in the habitat $X=\mathds{R}^d$ is studied. Its members arrive in and depart from at random. The departure rate has a term cor…
math.PR2025
Well-posedness of stochastic partial differential equations with fully local monotone coefficients
Michael Röckner, Shijie Shang, Tusheng Zhang
Consider stochastic partial differential equations (SPDEs) with fully local monotone coefficients in a Gelfand triple : \begin{align*} \left\{ \begin{al…
math.PR2024
Construction of Hunt processes by the Lyapunov method and applications to generalized Mehler semigroups
Lucian Beznea, Iulian Cîmpean, Michael Röckner
In this paper we deal with the problem of characterizing those generalized Mehler semigroups that do correspond to cà dlà g Markov processes, which is highly non-trivial and has re…