4 papers
Existence, scaling, and spectral gap for traveling fronts in the 2D renormalized Allen--Cahn equation
Gideon Chiusole, Christian Kuehn
We study the deterministic skeleton of the renormalized stochastic Allen--Cahn equation in spatial dimension . For all sufficiently small regularization parameters , we co…
Simplicial Complex Emergence on Directed Hypergraphs
Christian Kuehn, Fergal Murphy
We study when co-evolving (or adaptive) higher-order networks defined on directed hypergraphs admit a simplicial description. Binary and triadic couplings are modelled by time-depe…
The Mean-Field Ott-Antonsen Manifold is an Unstable Manifold in the Continuum Limit
Christian Kuehn, Giacomo Landi
We study interacting particle systems of Kuramoto-type. Our focus is on the dynamical relation between the partial differential equation (PDE) arising in the continuum limit (CL) a…
Synchronization by noise for traveling pulses
Christian Kuehn, Joris van Winden
We consider synchronization by noise for stochastic partial differential equations which support traveling pulse solutions, such as the FitzHugh-Nagumo equation. We show that any t…