Central limit theorem for the excited random walk in dimension .
Bérard, Jean, Ramirez, Alejandro (2007)
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Berestycki, Nathanael, Durrett, Rick (2008)
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We prove a strong law of large numbers for a one-dimensional random walk in a dynamic random environment given by a supercritical contact process in equilibrium. The proof uses a coupling argument based on the observation that the random walk eventually gets trapped inside the union of space–time cones contained in the infection clusters generated by single infections. In the case where the local drifts of the random walk are smaller than the speed at which infection clusters grow, the...
Windisch, David (2008)
Electronic Journal of Probability [electronic only]
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Eckhoff, Maren, Rolles, Silke W.W. (2009)
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