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The distribution of random motion at non-constant velocity in semi-Markov media

Zhytomyr State University Library

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Relation http://eprints.zu.edu.ua/26356/
 
Title The distribution of random motion at non-constant velocity in semi-Markov media
 
Creator Pogoruі, А. А.
Rodríguez-Dagnino, Ramón M.
 
Subject Mathematical Analysis
 
Description This paper deals with random motion at non-constant speed with
uniformly distributed directions where the direction alternations occur accord-
ing to renewal epochs of general distribution. We derive the renewal equation
for the characteristic function of the transition density of the multidimensional
motion. By using the renewal equation, we study the behavior of the transi-
tion density near the sphere of its singularity for two- and four-dimensional
cases and variable velocity and the three-dimensional case for constant veloc-
ity. As examples, we have derived the distribution for one-, two- and three-
dimensional random motion
 
Date 2015
 
Type Article
PeerReviewed
 
Format text
 
Language uk
english
 
Identifier http://eprints.zu.edu.ua/26356/1/The%20distribution%20of%20random%20motion.pdf
Pogoruі, А. А. and Rodríguez-Dagnino, Ramón M. (2015) The distribution of random motion at non-constant velocity in semi-Markov media. Random Oper. Stoch. Equ., 1 (1). pp. 1-13.