Now showing items 1-2 of 2

    • 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.