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- W2011776512 abstract "We study ergodic properties of nonlinear Markov chains and stochastic McKean--Vlasov equations. For nonlinear Markov chains we obtain sufficient conditions for existence and uniqueness of an invariant measure and uniform ergodicity. We also prove optimality of these conditions. For stochastic McKean--Vlasov equations we establish exponential convergence of their solutions to stationarity in the total variation metric under Veretennikov--Khasminskii-type conditions." @default.
- W2011776512 created "2016-06-24" @default.
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- W2011776512 date "2014-01-01" @default.
- W2011776512 modified "2023-09-26" @default.
- W2011776512 title "On Ergodic Properties of Nonlinear Markov Chains and Stochastic McKean--Vlasov Equations" @default.
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- W2011776512 doi "https://doi.org/10.1137/s0040585x97986825" @default.
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