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math.PR2024★ 1 cited
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…
math.PR2024
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…