Synchronization by noise for order-preserving random dynamical systems

@article{Flandoli2015SynchronizationBN,
  title={Synchronization by noise for order-preserving random dynamical systems},
  author={F. Flandoli and B. Gess and M. Scheutzow},
  journal={arXiv: Probability},
  year={2015}
}
  • F. Flandoli, B. Gess, M. Scheutzow
  • Published 2015
  • Mathematics
  • arXiv: Probability
  • We provide sufficient conditions for weak synchronization by noise for order-preserving random dynamical systems on Polish spaces. That is, under these conditions we prove the existence of a weak point attractor consisting of a single random point. This generalizes previous results in two directions: First, we do not restrict to Banach spaces and second, we do not require the partial order to be admissible nor normal. As a second main result and application we prove weak synchronization by… CONTINUE READING
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    References

    SHOWING 1-10 OF 52 REFERENCES
    Synchronization by noise
    • 42
    • PDF
    Order-preserving random dynamical systems: equilibria, attractors, applications
    • 75
    On the structure of attractors and invariant measures for a class of monotone random systems
    • 62
    The Global Random Attractor for a Class of Stochastic Porous Media Equations
    • 40
    • PDF
    Random Attractors for Degenerate Stochastic Partial Differential Equations
    • 47
    • PDF
    Attractors for random dynamical systems
    • 732
    Stabilization of Stationary Solutions of Evolution Equations by Noise
    • 6
    • Highly Influential