Ergodic Theorems for Noncommutative Dynamical Systems.
Ergodic theorems for subadditive superstationary families of random sets with values in Banach spaces
Under different compactness assumptions pointwise and mean ergodic theorems for subadditive superstationary families of random sets whose values are weakly (or strongly) compact convex subsets of a separable Banach space are presented. The results generalize those of [14], where random sets in are considered. Techniques used here are inspired by [3].
Ergodic theory and connections with analysis and probability.
Ergodic theory, entropy, and coding problems of information theory
Ergodic Theory for Complex Continued Fractions.
Ergodic theory for inner functions of the upper half plane
Ergodic theory for the one-dimensional Jacobi operator
We determine the number and properties of the invariant measures under the projective flow defined by a family of one-dimensional Jacobi operators. We calculate the derivative of the Floquet coefficient on the absolutely continuous spectrum and deduce the existence of the non-tangential limit of Weyl m-functions in the -topology.
Ergodic theory, semisimple Lie groups and foliations by manifolds of negative curvature
Ergodic transforms associated to general averages
Jones and Rosenblatt started the study of an ergodic transform which is analogous to the martingale transform. In this paper we present a unified treatment of the ergodic transforms associated to positive groups induced by nonsingular flows and to general means which include the usual averages, Cesàro-α averages and Abel means. We prove the boundedness in , 1 < p < ∞, of the maximal ergodic transforms assuming that the semigroup is Cesàro bounded in . For p = 1 we find that the maximal ergodic...
Ergodic -extensions over rational pure point spectrum, category and homomorphisms
Ergodicité d'une transformation cylindrique
Ergodicité intrinsèque de produits fibrés d'applications chaotiques unidimensionnelles
Ergodicity and asymptotically almost periodic solutions of some differential equations.
Ergodicity and extremality of AMS sources and channels.
Ergodicity and Weak-Mixing of Homogeneous Extensions of Measure-Preserving Transformations with Applications to Markov Shifts.
Ergodicity for piecewise smooth cocycles over toral rotations
Let α be an ergodic rotation of the d-torus . For any piecewise smooth function with sufficiently regular pieces the unitary operator Vh(x) = exp(2π if(x))h(x + α) acting on is shown to have a continuous non-Dirichlet spectrum if the gradient of f has nonzero integral. In particular, the resulting skew product must be ergodic. If in addition α is sufficiently well approximated by rational vectors and f is represented by a linear function with noninteger coefficients then the spectrum of V...
Ergodicity of a class of cylinder flows related to irregularities of distribution
Ergodické prelúdium
Ergodische Eigenschaften affiner Modulo-1-Transformationen.
Erratum to: On the Infinite Product Construction of Non-Singular Transformations of a Measure Space.