Title: The distribution of local times of a Brownian bridge
Author: Jim Pitman 
Date: November 1998 
Pub: Séminaire de Probabilités XXXIII, 388-394, Lecture Notes in Math. 1709, Springer, 1999
Abstract:
L\'evy's approach to Brownian local times is used to give a simple derivation
of a formula of Borodin which determines the distribution of the local time 
at level x up to time 1 for a Brownian bridge of length 1 from 0 to b.
A number of identities in distribution involving functionals of
the bridge are derived from this formula.
A stationarity property of the bridge local times is derived by
a simple path transformation, and related to Ray's description of the 
local time process of Brownian motion stopped at an independent 
exponential time.