<mods:mods version="3.3" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-3.xsd" xmlns:mods="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><mods:titleInfo><mods:title>Multidimensional Random Motion with Uniformly&#13;
Distributed Changes of Direction and Erlang Steps</mods:title></mods:titleInfo><mods:name type="personal"><mods:namePart type="given">А. А.</mods:namePart><mods:namePart type="family">Pogoruі</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods:name type="personal"><mods:namePart type="given">Ramón М.</mods:namePart><mods:namePart type="family">Rodríguez-Dagnіno</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods:abstract>In this paper we study transport processes in Rn; n ¸ 1, having non-exponential&#13;
distributed sojourn times or non-Markovian step durations. We use the idea that&#13;
the probabilistic properties of a random vector are completely determined by&#13;
those of its projection on a ¯xed line, and using this idea we avoid many of the&#13;
di±culties appearing in the analysis of these problems in higher dimensions. As&#13;
a particular case, we ¯nd the probability density function in three dimensions&#13;
for 2-Erlang distributed sojourn times.</mods:abstract><mods:classification authority="lcc">Mathematical Analysis</mods:classification><mods:originInfo><mods:dateIssued encoding="iso8061">2010-11</mods:dateIssued></mods:originInfo><mods:originInfo><mods:publisher>Zhytomyr State University</mods:publisher></mods:originInfo><mods:genre>Article</mods:genre></mods:mods>