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math.SP2002
Dirichlet Spectrum and Heat Content
Patrick McDonald, Robert Meyers
Let be a complete Riemannian manifold and a smoothly bounded domain with compact closure. We use Brownian motion and the classic results on the Stieltjes moment pr…
math.SP2002
Diffusions on Graphs, Poisson Problems and Spectral Geometry
Patrick McDonald, Robert Meyers
We study diffusions, variational principles and associated boundary value problems on directed graphs with natural weightings. Using random walks and exit times, we associate to ce…