Geodesic
On exponential convergence to a stationary measure for a class of random dynamical systems
Journées équations aux dérivées partielles (2001), article no. 9, 10 p. Cet article a éte moissonné depuis la source Numdam

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For a class of random dynamical systems which describe dissipative nonlinear PDEs perturbed by a bounded random kick-force, I propose a “direct proof” of the uniqueness of the stationary measure and exponential convergence of solutions to this measure, by showing that the transfer-operator, acting in the space of probability measures given the Kantorovich metric, defines a contraction of this space.

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     author = {Kuksin, Sergei B.},
     title = {On exponential convergence to a stationary measure for a class of random dynamical systems},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {9},
     pages = {1--10},
     year = {2001},
     publisher = {Universit\'e de Nantes},
     doi = {10.5802/jedp.593},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/jedp.593/}
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Kuksin, Sergei B. On exponential convergence to a stationary measure for a class of random dynamical systems. Journées équations aux dérivées partielles (2001), article  no. 9, 10 p.. doi: 10.5802/jedp.593

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