On the law of the iterated logarithm for Brownian motion on compact manifolds
Abstract
By taking a functional analytic point of view, we consider a family of distributions (continuous linear functionals on smooth functions), denoted by \μt,t>0\, associated to the law of iterated logarithm for Brownian motion on a compact manifold. We give a complete characterization of the collection of limiting distributions of \μt, t>0\.
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