A. A. Pogorui, Ramón M. Rodríguez-Dagnino
December 1, 2006
In this paper we study a continuous time random walk in a n-dimensional parallelepiped with pairs of boundaries [ a i , b i ]. In a pair of boundaries the particle can move in any of two directions with different velocities and We consider a special type of boundary which can trap the particle for a random time, and we found the limiting distribution of this random motion for the position of the particle. Our formulation allows us to find the limiting distribution for a broad class of alternating semi-Markov processes.