We establish a functional limit theorem for joint laws of occupation time processes of infinite ergodic transformations, in the sense of strong distributional convergence. Our limit theorem is a functional and joint-distributional extention both of Aaronson's limit theorem of Darling--Kac type, and of Thaler's generalized arcsine laws of Lamperti type, at the same time. We apply it to obtain a functional limit theorem for joint laws of sojourns of interval maps near and away from indifferent fixed points. For the proof, we represent occupation times in terms of excursion lengths, and show a functional convergence of excursion lengths to stable L\'evy processes. 查看全文>>