Mauro Mobilia, 2, âˆ— Ivan T. Georgiev, 2, â€ and Uwe C. TÃ¤uber â€¡ Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-UniversitÃ¤tâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2006

Including spatial structure and stochastic noise invalidates the classical Lotka-Volterra picture of stable regular population cycles emerging in models for predator-prey interactions.â€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2005

We consider the dynamics of the voter model and of the monomer-monomer catalytic process in the presence of many "competing" inhomogeneities and show, through exact calculations and numericalâ€¦ (More)

We consider a broad class of stochastic lattice predator-prey models, whose main features are overviewed. In particular, this article aims at drawing a picture of the influence of spatialâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2003

This paper introduces a position-space renormalization-group approach for nonequilibrium systems and applies the method to a driven stochastic one-dimensional gas with open boundaries. The dynamicsâ€¦ (More)

INTRODUCTION This paper concerns what we term a parabolic-elliptic interface problem. Two â€“ dimensional problems are investigated in many papers [1-4]. They arise in the study of two-dimensional eddyâ€¦ (More)