R. Hofstad

activity

20002008

most citedRandom subgraphs of finite graphs: I. The scaling window under the triangle condition

89 citations · 199 across the 16 of their papers we have counts for

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Showing 2008 · math.PRShow all

2 papers · 2 filters

math.PR2008★ 2 cited

Convergence of the critical finite-range contact process to super-Brownian motion above the upper critical dimension: I. The higher-point functions

Remco van der Hofstad, Akira Sakai

We consider the critical spread-out contact process in Z^d with d\ge1, whose infection range is denoted by L\ge1. In this paper, we investigate the r-point function τ_{\vec t}^{(r)…

math.PR2008★ 1 cited

Monotonicity for excited random walk in high dimensions

Remco van der Hofstad, Mark Holmes

We prove that the drift $θ (d, β)$ for excited random walk in dimension $d$ is monotone in the excitement parameter $β \in [0, 1]$ , when $d \geq 9$ .