4 papers
Dynamics of the leftmost particle in heterogeneous semi-infinite exclusion systems
Mikhail Menshikov, Serguei Popov, Andrew Wade
We study the behaviour of the leftmost particle in a semi-infinite particle system on , where each particle performs a continuous-time nearest-neighbour random walk, wi…
One-dimensional particle clouds with elastic collisions
Mikhail Menshikov, Serguei Popov, Andrew Wade
We study an interacting particle system of a finite number of labelled particles on the integer lattice, in which particles have intrinsic masses and left/right jump rates. If a pa…
On the shape of the connected components of the complement of two-dimensional Brownian random interlacements
Orphée Collin, Serguei Popov
We study the limiting shape of the connected components of the vacant set of two-dimensional Brownian random interlacements: we prove that the connected component around is clo…
Semi-infinite particle systems with exclusion interaction and heterogeneous jump rates
Mikhail Menshikov, Serguei Popov, Andrew Wade
We study semi-infinite particle systems on the one-dimensional integer lattice, where each particle performs a continuous-time nearest-neighbour random walk, with jump rates intrin…