On the law of the iterated logarithm for Brownian motion on compact   manifolds
  By taking a functional analytic point of view, we consider a family of distributions (continuous linear functionals on smooth functions), denoted by $\{\mu_t,t>0\}$, 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 $\{\mu_t, t>0\}$. 
Cheng Ouyang and Jennifer Pajda-De La O
math.PR