%0 Journal Article %T Two-Limit Problems for Almost Semi-Continuous Processes Defined on a Markov Chain %A Ievgen Karnaukh %J Mathematics %D 2009 %I arXiv %X We consider almost upper semi-continuous processes defined on a finite Markov chain. The distributions of the functionals associated with the exit from a finite interval are studied. We also consider some modification of these processes. %U http://arxiv.org/abs/0909.1420v1