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…