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Quenched invariance principle for high dimensional random walk in random environment

Mathematical Physics & Probability

Speaker: Noam Berger, UCLA
Location: 2112 MSB
Start time: Tue, Feb 27 2007, 2:10PM

We show quenched convergence to Brownian Motion for ballistic random walk in i.i.d. environments in dimension greater than or equal to 5, under the assumption of an annealed invariance principle and some mild integrability conditions for renormalizations. Based on joint work with Ofer Zeitouni. No background on random walk in random environments will be assumed.