64 citations · 370 across the 28 of their papers we have counts for
6 papers · 1 filter
Stability of traveling wavefronts in discrete reaction-diffusion equations with nonlocal delay effects
Shangjiang Guo, Johannes Zimmer
This paper deals with traveling wavefronts for temporally delayed, spatially discrete reaction-diffusion equations. Using a combination of the weighted energy method and the Green…
The Semi-Infinite Asymmetric Exclusion Process: Large Deviations via Matrix Products
Horacio González Duhart, Peter Mörters, Johannes Zimmer
We study the totally asymmetric exclusion process on the positive integers with a single particle source at the origin. Liggett (1975) has shown that the long term behaviour of thi…
Geometrical interpretation of fluctuating hydrodynamics in diffusive systems
Robert L. Jack, Johannes Zimmer
We discuss geometric formulations of hydrodynamic limits in diffusive systems. Specifically, we describe a geometrical construction in the space of density profiles --- the Wassers…
On the -limit for a non-uniformly bounded sequence of two phase metric functionals
Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer
In this study we consider the -limit of a highly oscillatory Riemannian metric length functional as its period tends to 0. The metric coefficient takes values in either $\{1,\in…
Travelling wavefronts in nonlocal diffusion equations with nonlocal delay effects
Shangjiang Guo, Johannes Zimmer
This paper deals with the existence, monotonicity, uniqueness and asymptotic behaviour of travelling wavefronts for a class of temporally delayed, spatially nonlocal diffusion equa…
The Finsler Metric Obtained as the -limit of a Generalised Manhattan Metric
Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer
The -limit for a sequence of length functionals associated with a one parameter family of Riemannian manifolds is computed analytically. The Riemannian manifold is of `two-phase…