%0 Journal Article
%A Pogoruі, А. А.
%A Rodríguez-Dagnіno, Ramón М.
%D 2010
%F zu2:13312
%I Zhytomyr State University
%J Electrical and Computer Engineering
%P 1-8
%T Multidimensional Random Motion with Uniformly  Distributed Changes of Direction and Erlang Steps
%U http://eprints.zu.edu.ua/13312/
%X In this paper we study transport processes in Rn; n ¸ 1, having non-exponential  distributed sojourn times or non-Markovian step durations. We use the idea that  the probabilistic properties of a random vector are completely determined by  those of its projection on a ¯xed line, and using this idea we avoid many of the  di±culties appearing in the analysis of these problems in higher dimensions. As  a particular case, we ¯nd the probability density function in three dimensions  for 2-Erlang distributed sojourn times.