On invariant measures of nonlinear Markov processes.
Ahmed, N.U., Ding, Xinhong (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Ahmed, N.U., Ding, Xinhong (1993)
Journal of Applied Mathematics and Stochastic Analysis
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B. Maslowski, I. Simão (1997)
Colloquium Mathematicae
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Bohdan Maslowski (1987)
Časopis pro pěstování matematiky
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Bohdan Maslowski, Jan Seidler (1998)
Archivum Mathematicum
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The paper presents a review of some recent results on uniqueness of invariant measures for stochastic differential equations in infinite-dimensional state spaces, with particular attention paid to stochastic partial differential equations. Related results on asymptotic behaviour of solutions like ergodic theorems and convergence of probability laws of solutions in strong and weak topologies are also reviewed.