62 citations · 117 across the 28 of their papers we have counts for
4 papers · 1 filter
Generalized gaussian bounds for discrete convolution powers
Jean-François Coulombel, Grégory Faye
We prove a uniform generalized gaussian bound for the powers of a discrete convolution operator in one space dimension. Our bound is derived under the assumption that the Fourier t…
Dynamics of epidemic spreading on connected graphs
Christophe Besse, Grégory Faye
We propose a new model that describes the dynamics of epidemic spreading on connected graphs. Our model consists in a PDE-ODE system where at each vertex of the graph we have a sta…
Invasion into remnant instability: a case study of front dynamics
Gregory Faye, Matt Holzer, Arnd Scheel +1
We study the invasion of an unstable state by a propagating front in a peculiar but generic situation where the invasion process exhibits a remnant instability. Here, remnant insta…
Corrigendum to "Center Manifolds without a Phase Space"
Gregory Faye, Arnd Scheel
We correct the choice of cut-off function in our construction of center manifolds in [G. Faye and A. Scheel, \textit{Trans. Amer. Math. Soc.}, 370 (2018), pp. 5843--5885]. The main…