Nualart, David, 1951-Vives i Santa Eulàlia, Josep, 1963-2019-04-262019-04-2619920214-1493https://hdl.handle.net/2445/132481In this note we prove that the Local Time at zero for a multipararnetric Wiener process belongs to the Sobolev space Dk- z-,,2 for any e > 0. We do this computing its Wiener chaos expansion We see also that this expansion converges almost surely . Finally, using the same teclrnique we prove similar results for a renormalized Local Time for the auto¡ ntersections of a planar Brownian motion.10 p.application/pdfeng(c) Universitat Autònoma de Barcelona, 1992Caos (Teoria de sistemes)Chaotic behavior in systemsinfo:eu-repo/semantics/article0730662019-04-26info:eu-repo/semantics/openAccess