12 citations · 19 across the 2 of their papers we have counts for
2 papers
math-ph2011★ 7 cited
An anti-symmetric exclusion process for two particles on an infinite 1D lattice
Jonathan R Potts, Stephen Harris, Luca Giuggioli
A system of two biased, mutually exclusive random walkers on an infinite 1D lattice is studied whereby the intrinsic bias of one particle is equal and opposite to that of the other…
math-ph2011★ 12 cited
Brownian walkers within subdiffusing territorial boundaries
Luca Giuggioli, Jonathan R. Potts, Stephen Harris
Inspired by the collective phenomenon of territorial emergence, whereby animals move and interact through the scent marks they deposit, we study the dynamics of a 1D Brownian walke…