On the Lebesgue nonlinear transformations
Ganikhodjaev, Nasir · Saburov, Mansoor · Muhitdinov, Ramazon
Original · EN
In this paper, we introduce a quadratic stochastic operators on the set of all probability measures of a measurable space. We study the dynamics of the Lebesgue quadratic stochastic operator on the set of all Lebesgue measures of the set [0,1]. Namely, we prove the regularity of the Lebesgue quadratic stochastic operators
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