635 citations
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Showing 2008 · math.PRShow all
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math.PR2008★ 1 cited
Monotonicity for excited random walk in high dimensions
Remco van der Hofstad, Mark Holmes
We prove that the drift for excited random walk in dimension is monotone in the excitement parameter , when .
math.PR2008★ 6 cited
Random subgraphs of the 2D Hamming graph: the supercritical phase
Remco van der Hofstad, Malwina J. Luczak
We study random subgraphs of the 2-dimensional Hamming graph H(2,n), which is the Cartesian product of two complete graphs on vertices. Let be the edge probability, and wri…