systems of sticky particles, interacting particle systems, motion in random media, stochastic processes, limit theorems.
UDC:
519.21
Subject:
Probability theory, stochastic processes.
Main publications:
Vysotsky V. V. (2007) Clustering in a stochastic model of one-dimensional gas. Preprint, accepted to the Annals of Applied Probability.
Vysotsky V. (2006) A functional limit theorem for the position of a particle in a Lorentz type model. Markov Processes and Related Fields, v. 12, pp. 767–790.
Vysotsky V. V. (2006) On energy and clusters in stochastic systems of sticky gravitating particles. Theory of Probability and Its Applications, v. 50, pp. 265–283.
V. V. Vysotsky, “The area of exponential random walk and partial sums of uniform order statistics”, Zap. Nauchn. Sem. POMI, 341 (2007), 48–67; J. Math. Sci. (N. Y.), 147:4 (2007), 6873–6883
V. V. Vysotsky, “Energy and number of clusters in stochastic systems of sticky gravitating particles”, Teor. Veroyatnost. i Primenen., 50:2 (2005), 241–265; Theory Probab. Appl., 50:2 (2006), 265–283
V. V. Vysotsky, “A limit theorem for the position of a particle in the Lorentz model”, Zap. Nauchn. Sem. POMI, 328 (2005), 42–68; J. Math. Sci. (N. Y.), 139:3 (2006), 6520–6534
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