%0 Journal Article %A Pogorui, A. A. %D 2012 %F zu2:13381 %I ROSE %J Mathematics Subject Classification %K Random evolution, Brownian motion, Semi-Markov process %N 20 %P 119-126 %T Evolution in multidimensional spaces %U http://eprints.zu.edu.ua/13381/ %X In this paper, we study evolutions in multidimensional spaces. By reducing multidimensional cases to one-dimensional, the properties of random evolutions in some semi-Markov media are studied.