Xianfeng Ma

  1. Pre-image Variational Principle for Bundle Random Dynamical Systems.

    Authors: Xianfeng Ma, Ercai Chen
    Subjects: Dynamical Systems
    Abstract

    The pre-image topological pressure is defined for bundle random dynamical
    systems. A variational principle for it has also been given.

  2. Pre-image Variational Principle for Bundle Random Dynamical Systems.

    Authors: Xianfeng Ma, Ercai Chen
    Subjects: Dynamical Systems
    Abstract

    The pre-image topological pressure is defined for bundle random dynamical
    systems. A variational principle for it has also been given.

  3. Variational principle for subadditive sequence of potentials in bundle RDS.

    Authors: Xianfeng Ma, Ercai Chen
    Subjects: Dynamical Systems
    Abstract

    The topological pressure is defined for subadditive sequence of potentials in
    bundle random dynamical systems. A variational principle for the topological
    pressure is set up in a very weak condition. The result may have some
    applications in the study of multifractal analysis for random version of
    nonconformal dynamical systems.

  4. Variational principle for subadditive sequence of potentials in bundle RDS.

    Authors: Xianfeng Ma, Ercai Chen
    Subjects: Dynamical Systems
    Abstract

    The topological pressure is defined for subadditive sequence of potentials in
    bundle random dynamical systems. A variational principle for the topological
    pressure is set up in a very weak condition. The result may have some
    applications in the study of multifractal analysis for random version of
    nonconformal dynamical systems.

  5. Relative local variational principles for subadditive potentials.

    Authors: Xianfeng Ma, Ercai Chen
    Subjects: Dynamical Systems
    Abstract

    We prove two relative local variational principles of topological pressure
    functions $P(T,\mathcal{F},\mathcal{U},y)$ and$P(T,\mathcal{F},\mathcal{U}|Y)$
    for a given factor map $\pi$, an open cover $\mathcal{U} $ and a subadditive
    sequence of real-valued continuous functions $\mathcal{F}$.

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