50 citations · 546 across the 43 of their papers we have counts for
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cond-mat.stat-mech2010★ 13 cited
Diffusive properties of persistent walks on cubic lattices with application to periodic Lorentz gases
Thomas Gilbert, Huu Chuong Nguyen, David P Sanders
We calculate the diffusion coefficients of persistent random walks on cubic and hypercubic lattices, where the direction of a walker at a given step depends on the memory of one or…
nlin.CD2010★ 3 cited
Stable and unstable regimes in higher-dimensional convex billiards with cylindrical shape
Thomas Gilbert, David P. Sanders
We introduce a class of convex, higher-dimensional billiard models which generalise stadium billiards. These models correspond to the free motion of a point-particle in a region bo…