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math.PR2007★ 2 cited
Pattern theorems, ratio limit theorems and Gumbel maximal clusters for random fields
Remco van der Hofstad, Wouter Kager
We study occurrences of patterns on clusters of size n in random fields on Z^d. We prove that for a given pattern, there is a constant a>0 such that the probability that this patte…
math.PR2007
Diffusion constants and martingales for senile random walks
Wouter Kager
We derive diffusion constants and martingales for senile random walks with the help of a time-change. We provide direct computations of the diffusion constants for the time-changed…