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We study ergodic properties of stochastic dissipative systems with additive noise. We show that the system is uniformly exponentially ergodic provided the growth of nonlinearity at infinity is faster than linear. The abstract result is applied to the stochastic reaction diffusion equation in $ℝ^{d}$ with $d \leq 3$ .

Uniformly ergodic A-contractions on Hilbert spaces

Laurian Suciu (2009)

Studia Mathematica

We study the concept of uniform (quasi-) A-ergodicity for A-contractions on a Hilbert space, where A is a positive operator. More precisely, we investigate the role of closedness of certain ranges in the uniformly ergodic behavior of A-contractions. We use some known results of M. Lin, M. Mbekhta and J. Zemánek, and S. Grabiner and J. Zemánek, concerning the uniform convergence of the Cesàro means of an operator, to obtain similar versions for A-contractions. Thus, we continue the study of A-ergodic...

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Une majoration sous-exponentielle pour la convergence de l'entropie des chaînes de Markov à trou spectral

Une remarque sur un théorème de Bourgain

Uniform Convergence of Operators and Grothendieck Spaces with the Dunford-Pettis Property.

Uniform Convergence of Operators on L... and Similar Spaces.

Uniform Ergodic Theormes for Markov Operators on C(X).

Uniform exponential ergodicity of stochastic dissipative systems

Uniformly ergodic A-contractions on Hilbert spaces

Uniformly ergodic theorem for commuting multioperators.

Unique ergodicity of irreducible Markov operators on C(X)

Uniquely ergodic quadratic differentials.

Using density matrices in classical dynamical systems

Currently displaying 1 – 11 of 11