Browsing Faculty and Researcher Data and Papers by Author "Werner, Wendelin"
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A counterexample to the "hot spots" conjecture
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 ... -
No triple point of planar Brownian motion is accessible
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.