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math.PR2024
The stochastic evolution of an infinite population with logistic-type interaction
Yuri Kozitsky, 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.PR2024
SVI solutions to stochastic nonlinear diffusion equations on general measure spaces
Benjamin Gess, Michael Röckner, Weina Wu
We establish a framework for the existence and uniqueness of solutions to stochastic nonlinear (possibly multi-valued) diffusion equations driven by multiplicative noise, with the…