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math.PR1998
A counterexample to the "hot spots" conjecture
Krzysztof Burdzy, Wendelin Werner
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 t…
math.PR1998
Stochastic bifurcation models
Richard F. Bass, Krzysztof Burdzy
We study an ordinary differential equation controlled by a stochastic process. We present results on existence and uniqueness of solutions, on associated local times (Trotter and R…