2 papers
math.DG2003
Heat content, torsional rigidity and generalized Hardy inequalities for complete Riemannian manifolds
Michiel van den Berg, Peter B. Gilkey
We obtain upper bounds on the heat content and on the torsional rigidity of a complete Riemannian manifold M, assuming a generalized Hardy inequality for the Dirichlet Laplacian on…
math.PR2001
Moderate deviations for the volume of the Wiener sausage
Michiel van den Berg, Erwin Bolthausen, Frank den Hollander
For a>0,let W^a(t) be the a-neighbourhood of standard Brownian motion in R^d starting at 0 and observed until time t.It is well-known that E|W^a(t)|~kappa_a t (t->infty) for d >= 3…