Analysis and Probability Seminar: “A Quenched Central Limit Theorem in a Corner Growth Setting”

Date and time: Tuesday October 9, 2018 at 2:30 PM

Location: Yost 306

Speaker: Dr. Mark W. Meckes, Professor, CWRU Department of Mathematics, Applied Mathematics, and Statistics

Abstract: We consider random paths between two points in a lattice with independent random energies associated to each node. This is related to the so-called corner growth model of polymer growth and to last-passage percolation. We show that, under mild conditions, for almost every choice of the random energies, the total energy of a random path has a Gaussian limit distribution as the lattice size goes to infinity. The proof is based on Talagrand’s concentration inequality for bounded random variables. This is joint work with Christian Gromoll and Leonid Petrov.

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