Asymptotic windings of Brownian motion around the windings in a compact Riemannian variety of dimension 3 (Q1338748)

Let \(M\) be a three-dimensional compact manifold and let \(X\) be its Brownian motion. The author considers a loop \({\mathcal L}\) and studies the long-time behaviour of \(X\) when it lives in a tubular neighbourhood of \({\mathcal L}\). As an application he obtains the behaviour of \(t^{-1} \int_ 0^ t \omega (X_ s)\), where \(\omega\) is a closed 1-form on the complement of a compact submanifold with codimension 2.