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math.PR2008★ 21 cited
Asymptotic behaviour of randomly reflecting billiards in unbounded tubular domains
Mikhail V. Menshikov, Marina Vachkovskaia, Andrew R. Wade
We study stochastic billiards in infinite planar domains with curvilinear boundaries: that is, piecewise deterministic motion with randomness introduced via random reflections at t…
math.PR2004
Repulsion of an evolving surface on walls with random heights
L. R. G. Fontes, M. Vachkovskaia, A. Yambartsev
We consider the motion of a discrete random surface interacting by exclusion with a random wall. The heights of the wall at the sites of are i.i.d.\ random variables. Fixed…