The seminar is sponsored by NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai.
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Abstract:
One of the most famous open problems in random walks in random environments is to understand the behaviour of a simple random walk on a critical percolation cluster, a model known as the “ant in the labyrinth”. I will present new results on the scaling limi for the simple random walk on the critical branching random walk in high dimension. In the light of lace expansion, we believe that the limiting behaviour of this model should be universal for simple random walks on critical structures in high dimensions.
This is join work with G. Ben Arous and M. Cabezas.
Biography:
Alexander Fribergh did his Ph.D. with Christophe Sabot in random walks in random environment.
He was postdoc at the Courant Institute (NYU) for 3 years under the supervision of Gérard Ben Arous. After that he became CNRS in France and he is currently assistant professor at the Université de Montréal.
He works in random media in general with an emphasis on random walks in random environments. Some of his most famous works include the proof of the phase transition for biased random walks on percolation clusters and a partial proof of a conjecture of Lyons Pemantle and Peres on the monotonicity of the speed for biased random walks on Galton-Watson trees.