I will survey recent characterization results on inhomogeneous random walks which stick to a small region unusually long. In applications, among other things we demonstrate a repulsion behavior of the eigenvalues of random Wigner matrices of general type.
Anti concentration of random walks and eigenvalue repulsion of random matrices
Dec. 08, 2015 1pm (MATH 220)
Andrew Moorhead (CU Boulder)
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Abstract: This is an appendix to previous seminar talks on the bounded width theorem, but is of independent interest. The absorption theorem classifies those finite algebras which we can expect to have a so called 'linked' subdirect product that is not the full product, when working in an idempotent, locally finite Taylor variety.
The Absorption Theorem
Dec. 08, 2015 2pm (MATH 220)
Steve Weinell (CU) Embeddings, Quantifier Elimination and Elementary Embeddings