Central limit theorem for the excited random walk in dimension .

Bérard, Jean; Ramirez, Alejandro

Displaying similar documents to “Central limit theorem for the excited random walk in dimension $d \geq 2$ .”

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Scaling of a random walk on a supercritical contact process

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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...