Abstract
Let (Xtn) be a Poisson sequence of independent Brownian motions in ℝd,d≧3; Let ℒ be a compact oriented submanifold of ℝd, of dimensiond−2 and volume l; let Φt be the sum of the windings of (Xsn, 0≦s≦t) around ℒ; then Φt/t converges in law towards a Cauchy variable of parameter l/2. A similar result is valid when the winding is replaced by the integral of a harmonic 1-form in ℝd∖ℒ.
Full Text
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call