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Ergodic behaviour of stochastic parabolic equations
Authors:Jan Seidler
Affiliation:(1) Mathematical Institute, Academy of Sciences of the Czech republic, "Zcaron"itná 25, 115 67 Praha 1, Czech Republic
Abstract:The ergodic behaviour of homogeneous strong Feller irreducible Markov processes in Banach spaces is studied; in particular, existence and uniqueness of finite and sgr-finite invariant measures are considered. The results obtained are applied to solutions of stochastic parabolic equations.
Keywords:Markov processes  invariant measures  recurrence  stochastic parabolic equations
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