On constants related to the choice of the local time at 0, and the corresponding Itô measure for Bessel processes with dimension d = 2(1 − α ), 0 < α < 1

Abstract

The precise choice of the local time at 0 for a Bessel process with dimensiond∈ ]0,2[ plays some role in explicit computations or limiting results involving excursion theory for these processes. Starting from one specific choice, and deriving the main related formulae, it is shown how the various multiplicative constants corresponding to other choices made in the literature enter into these formulae.