Fiber Brownian motion and the "hot spots" problem

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Fiber Brownian motion and the "hot spots" problem

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Title: Fiber Brownian motion and the "hot spots" problem
Author: Burdzy, Krzysztof; Bass, Richard F.
Abstract: We show that in some planar domains both extrema of the second Neumann eigenfunction lie strictly inside the domain. The main technical innovation is the use of "fiber Brownian motion," a process which switches between two-dimensional and one-dimensional evolution.
URI: http://hdl.handle.net/1773/2203

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