28 citations · 255 across the 46 of their papers we have counts for
49 papers
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…
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…
Superdiffusive planar random walks with polynomial space-time drifts
Conrado da Costa, Mikhail Menshikov, Vadim Shcherbakov +1
We quantify superdiffusive transience for a two-dimensional random walk in which the vertical coordinate is a martingale and the horizontal coordinate has a positive drift that is…
Passage-times for partially-homogeneous reflected random walks on the quadrant
Conrado da Costa, Mikhail Menshikov, Andrew Wade
We consider a random walk on the first quadrant of the square lattice, whose increment law is, roughly speaking, homogeneous along a finite number of half-lines near each of the tw…