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dc:title "HTML Summary of #13316 \n\nSystem of interacting particles with Markovian switching\n\n";
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bibo:abstract "Most of the published articles on random motions have been devoted to the study\r\nof the telegraph process or its generalizations that describe the random motion of a\r\nsingle particle in Rn in a Markov or semi-Markov medium. However, up to our best\r\nknowledge, there are no published papers dealing with the interaction of two or more\r\nparticles which move according to the telegraph processes. In this paper, we construct\r\nthe system of telegraph processes with interactions, which can be interpreted as a\r\nmodel of ideal gas. In this model, we investigate the free path times of a family\r\nof particles, before they are collided with any other particle. We also study the\r\ndistribution of particles, which is described by telegraph processes with hard collisions\r\nand re\r\necting boundaries, and investigate its limiting properties."^^xsd:string;
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bibo:issue "34";
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bibo:volume "18";
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dct:date "2012";
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skos:prefLabel "Mathematical Analysis"@en,
"Математичний аналіз"@uk .
foaf:familyName "Pogoruі"^^xsd:string;
foaf:givenName "А. А."^^xsd:string;
foaf:name "А. А. Pogoruі"^^xsd:string;
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foaf:name "Theory of Stochastic Processes"^^xsd:string;
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