12 citations · 18 across the 14 of their papers we have counts for
4 papers · 1 filter
Propagation and blocking in a two-patch reaction-diffusion model
François Hamel, Frithjof Lutscher, Mingmin Zhang
This paper is concerned with propagation phenomena for the solutions of the Cauchy problem associated with a two-patch one-dimensional reaction-diffusion model. It is assumed that…
Wandering points for the Mahler measure
Paul Fili, Lukas Pottmeyer, Mingming Zhang
Mahler's measure defines a dynamical system on the algebraic numbers. In this paper, we study the problem of which number fields have points which wander under the iteration of Mah…
Propagation phenomena in periodic patchy landscapes with interface conditions
François Hamel, Frithjof Lutscher, Mingmin Zhang
This paper is concerned with a model for the dynamics of a single species in a one-dimensional heterogeneous environment. The environment consists of two kinds of patches, which ar…
Reaction-diffusion fronts in funnel-shaped domains
François Hamel, Mingmin Zhang
We consider bistable reaction-diffusion equations in funnel-shaped domains of R N made up of straight parts and conical parts with positive opening angles. We study the large time…