  We establish a functional limit theorem for the joint-law of occupations near
and away from indifferent fixed points of interval maps, and of waits for the
occupations away from these points, in the sense of strong distributional
convergence. It is a functional and joint-distributional extension of
Darling--Kac type limit theorem, of Lamperti type generalized arcsine laws for
occupation times, and of Dynkin and Lamperti type generalized arcsine laws for
waiting times, at the same time.
