2018
Том 70
№ 12

All Issues

Limit distributions of conflict dynamical system with point spectra

Koshmanenko V. D., Voloshyna V. O.


Abstract

We construct a model of conflict dynamical system whose limit states are associated with singular distributions. We prove that a criterion for appearance of a point spectrum in the limit distribution is the strategy of fixed priority. In all other cases, the limit distributions are pure singular continuous.

Citation Example: Koshmanenko V. D., Voloshyna V. O. Limit distributions of conflict dynamical system with point spectra // Ukr. Mat. Zh. - 2018. - 70, № 12. - pp. 1615-1624.