3 papers
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.PR2019
Existence of flows for linear Fokker-Planck-Kolmogorov equations and its connection to well-posedness
Marco Rehmeier
Let the coefficients and , , of the linear Fokker-Planck-Kolmogorov equation (FPK-eq.) $$\partial_tμ_t = \partial_i\partial_j(a_{ij}μ_t)-\partial_i(b_iμ_t…
math.PR2018
On Cherny's results in infinite dimensions: A theorem dual to Yamada-Watanabe
Marco Rehmeier
We prove that joint uniqueness in law and the existence of a strong solution imply pathwise uniqueness for variational solutions to stochastic partial differential equations of the…