%0 Journal Article %T Modified discrete random walk with absorption %A Theo van Uem %J Mathematics %D 2009 %I arXiv %X We obtain expected number of arrivals, probability of arrival, absorption probabilities and expected time before absorption for a modified discrete random walk on the (sub)set of integers. In a [pqrs] random walk the particle can move one step forward or backward, stay for a moment in the same state or it can be absorbed immediately in the current state. M[pqrs] is a modified version, where probabilities on both sides of a multiple function barrier M are of different [pqrs] type. %U http://arxiv.org/abs/0903.0364v1