%0 Journal Article
%T Convergence of excursion point processes and its applications to functional limit theorems of Markov processes on a half-line
%A Kouji Yano
%J Mathematics
%D 2007
%I arXiv
%R 10.3150/08-BEJ132
%X Invariance principles are obtained for a Markov process on a half-line with continuous paths on the interior. The domains of attraction of the two different types of self-similar processes are investigated. Our approach is to establish convergence of excursion point processes, which is based on It\^{o}'s excursion theory and a recent result on convergence of excursion measures by Fitzsimmons and the present author.
%U http://arxiv.org/abs/0705.3588v4