%0 Journal Article %T A note on first passage probabilities of a L¨¦vy process reflected at a general barrier %A Zbigniew Palmowski %A Przemys£¿aw £¿wi£¿tek %J Mathematics %D 2014 %I arXiv %X In this paper we analyze a L\'evy process reflected at a general (possibly random) barrier. For this process we prove Central Limit Theorem for the first passage time. We also give the finite-time first passage probability asymptotics. %U http://arxiv.org/abs/1403.1025v1