12 citations · 20 across the 5 of their papers we have counts for
7 papers · 1 filter
Dynamics for exclusion processes with random environments of particle jump rates
Mikhail Menshikov, Serguei Popov, Andrew Wade
We consider a continuous-time particle system with exclusion interaction on the integer lattice. Each particle is assigned intrinsic left and right jump rates by an independent dra…
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…
Polling systems with parameter regeneration, the general case
Iain MacPhee, Mikhail Menshikov, Dimitri Petritis +1
We consider a polling model with multiple stations, each with Poisson arrivals and a queue of infinite capacity. The service regime is exhaustive and there is Jacksonian feedback o…