<oai_dc:dc xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
        <dc:relation>http://eprints.zu.edu.ua/13316/</dc:relation>
        <dc:title>System of interacting particles with Markovian switching</dc:title>
        <dc:creator>Pogoruі, А. А.</dc:creator>
        <dc:subject>Mathematical Analysis</dc:subject>
        <dc:description>Most of the published articles on random motions have been devoted to the study&#13;
of the telegraph process or its generalizations that describe the random motion of a&#13;
single particle in Rn in a Markov or semi-Markov medium. However, up to our best&#13;
knowledge, there are no published papers dealing with the interaction of two or more&#13;
particles which move according to the telegraph processes. In this paper, we construct&#13;
the system of telegraph processes with interactions, which can be interpreted as a&#13;
model of ideal gas. In this model, we investigate the free path times of a family&#13;
of particles, before they are collided with any other particle. We also study the&#13;
distribution of particles, which is described by telegraph processes with hard collisions&#13;
and re&#13;
ecting boundaries, and investigate its limiting properties.</dc:description>
        <dc:date>2012</dc:date>
        <dc:type>Article</dc:type>
        <dc:type>PeerReviewed</dc:type>
        <dc:format>text</dc:format>
        <dc:language>uk</dc:language>
        <dc:identifier>http://eprints.zu.edu.ua/13316/1/art1820_09.pdf</dc:identifier>
        <dc:identifier>  Pogoruі, А. А.  (2012) System of interacting particles with Markovian switching.  Theory of Stochastic Processes, 18 (34).  pp. 83-95.      </dc:identifier>
        <dc:language>english</dc:language></oai_dc:dc>