On supports of evolution systems of measures for converging in law non-homogenous Markov processes
Keywords
Core of an evolution semiattractor, set-valued process, two-parameters semigroup of Markov operators, evolution system of measures, stochastic flow, time-dependent stochastic partial differential equationAbstract
We obtain an explicit form of supports of strongly mixing evolution system of measures naturally connected with non-homogenous Markov process induced by time-dependent SPDEs. We show that considered supports one can get as a net of limit sets determined by a two-parameters semigroup of set-valued maps induced by transition probabilities.References
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