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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…
math.PR2001
A Central Limit Theorem for Convolution Equations and Weakly Self-Avoiding Walks
Erwin Bolthausen, Christine Ritzmann
The main result of this paper is a general central limit theorem for distributions defined by certain renewal type equations. We apply this to weakly self-avoiding random walks. We…