On supports of evolution systems of measures for converging in law non-homogenous Markov processes

Grzegorz Guzik

Abstract


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.

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 equation

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