Neumann eigenfunctions and Brownian couplings

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Neumann eigenfunctions and Brownian couplings

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Title: Neumann eigenfunctions and Brownian couplings
Author: Burdzy, Krzysztof
Abstract: This is a review of research on geometric properties of Neumann eigenfunctions related to the "hot spots" conjecture of Jeff Rauch. The paper also presents, in an informal way, some probabilistic techniques used in the proofs.
URI: http://hdl.handle.net/1773/2130

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