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math.PR2022★ 1 cited
On nonlinear Markov processes in the sense of McKean
Marco Rehmeier, Michael Röckner
We study nonlinear time-inhomogeneous Markov processes in the sense of McKean's seminal work [32]. These are given as families of laws , , on path space,…
math.DS2022
Emergence of phase-locked states for a deterministic and stochastic Winfree model with inertia
Myeongju Kang, Marco Rehmeier
We study the emergence of phase-locking for Winfree oscillators under the effect of inertia. It is known that in a large coupling regime, oscillators governed by the deterministic…
math.PR2022
Flow selections for (nonlinear) Fokker-Planck-Kolmogorov equations
Marco Rehmeier
We provide a method to select flows of solutions to the Cauchy problem for linear and nonlinear Fokker--Planck--Kolmogorov equations (FPK equations) for measures on Euclidean space…