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Browsing Mathematics, Department of by Author "Werner, Wendelin"

Browsing Mathematics, Department of by Author "Werner, Wendelin"

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  • Burdzy, Krzysztof; Werner, Wendelin (Princeton University and Institute for Advanced Study, 1999-01)
    We construct a counterexample to the "hot spots" conjecture; there exists a bounded connected planar domain (with two holes) such that the second eigenvalue of the Laplacian in that domain with Neumann boundary conditions ...
  • Burdzy, Krzysztof; Werner, Wendelin (Institute of Mathematical Statistics, 1996-01)
    We show that the boundary of a connected component of the complement of a planar Brownian path on a fixed time-interval contains almost surely no triple point of this Brownian path.

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