Excursions of a \(BES_ o(d)\) and its drift term \((0<d<1)\)
Let X be a \(BES_ 0(d)\) \((0<d<1)\) with canonical decomposition \(X=B+(d- 1)H\), where B is a Brownian motion and H locally of zero energy. The process (X;H) is shown to have local time at (0,0), and the characteristic measure of its excursions (in Itô's sense) is described. This study leads us to new determinations of the space variable-process defined by the occupation densities of H taken at some optional times.
scientific article; zbMATH DE number 4088660
scientific article