Catching small sets under Flows
Martin H. Ellis, J. Michael Steele (1979)
Annales de l'I.H.P. Probabilités et statistiques
Similarity:
Displaying similar documents to “On the existence of cohomologous continuous cocycles for cocycles with values in some Lie groups”
Catching small sets under Flows
Kingman's subadditive ergodic theorem
J. Michael Steele (1989)
Annales de l'I.H.P. Probabilités et statistiques
Similarity:
Ergodic theory, semisimple Lie groups and foliations by manifolds of negative curvature
Robert J. Zimmer (1982)
Publications Mathématiques de l'IHÉS
Similarity:
Construction of non-constant and ergodic cocycles
Mahesh Nerurkar (2000)
Colloquium Mathematicae
Similarity:
We construct continuous G-valued cocycles that are not cohomologous to any compact constant via a measurable transfer function, provided the underlying dynamical system is rigid and the range group G satisfies a certain general condition. For more general ergodic aperiodic systems, we also show that the set of continuous ergodic cocycles is residual in the class of all continuous cocycles provided the range group G is a compact connected Lie group. The first construction is based on...
Addendum to the article “On ballistic diffusions in random environment”
Lian Shen (2004)
Annales de l'I.H.P. Probabilités et statistiques
Similarity:
On the classification of dynamical systems
Dang-Ngoc-Nghiem (1973)
Annales de l'I.H.P. Probabilités et statistiques
Similarity:
On μ-compatible metrics and measurable sensitivity
Ilya Grigoriev, Marius Cătălin Iordan, Amos Lubin, Nathaniel Ince, Cesar E. Silva (2012)
Colloquium Mathematicae
Similarity:
We introduce the notion of W-measurable sensitivity, which extends and strictly implies canonical measurable sensitivity, a measure-theoretic version of sensitive dependence on initial conditions. This notion also implies pairwise sensitivity with respect to a large class of metrics. We show that nonsingular ergodic and conservative dynamical systems on standard spaces must be either W-measurably sensitive, or isomorphic mod 0 to a minimal uniformly rigid isometry. In the finite measure-preserving...