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On the two-dimensional random walk in an isotropic random environment

Monday 22nd June 2015 - 11:30 to 12:30
INI Seminar Room 1
This is joint work with Erich Baur (Lyon) and Ofer Zeitouni (Weizmann Institute).

We report on work in progress on the standard model of a random walk in random environment in the critical dimension 2. We investigate exit distributions from large sets which are supposed to be essentially the same as those for ordinary random walks. Random walks in random environment are well understood in dimension one, and for small disorder in dimensions above 2, but the two-dimensional case is largely open.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons