%0 Journal Article %1 jimpitman1986asymptotic %A Jim Pitman, Marc Yor %D 1986 %I Institute of Mathematical Statistics %J The Annals of Probability %K Brownian_motion occupation_times two_dimensional_diffusion winding_number %N 3 %P 733-779 %T Asymptotic Laws of Planar Brownian Motion %U http://www.jstor.org/stable/2244132 %V 14 %X Recent results on the asymptotic distribution of winding and crossing numbers are presented as part of a larger framework of asymptotic laws for planar Brownian motion. The approach is via random time changes, martingale calculus, and excursion theory.

@article{jimpitman1986asymptotic, abstract = {Recent results on the asymptotic distribution of winding and crossing numbers are presented as part of a larger framework of asymptotic laws for planar Brownian motion. The approach is via random time changes, martingale calculus, and excursion theory.}, added-at = {2016-02-09T22:16:48.000+0100}, author = {Jim Pitman, Marc Yor}, biburl = {https://www.bibsonomy.org/bibtex/28c297676e841cf8262ea24c95fc590d9/peter.ralph}, interhash = {c75b77fa38e46e873543bce103eb85a0}, intrahash = {8c297676e841cf8262ea24c95fc590d9}, issn = {00911798}, journal = {The Annals of Probability}, keywords = {Brownian_motion occupation_times two_dimensional_diffusion winding_number}, number = 3, pages = {733-779}, publisher = {Institute of Mathematical Statistics}, timestamp = {2016-02-09T22:16:48.000+0100}, title = {Asymptotic Laws of Planar {Brownian} Motion}, url = {http://www.jstor.org/stable/2244132}, volume = 14, year = 1986 }