Titlebook: Contributions to Ergodic Theory and Probability; Proceedings of the F Louis Sucheston Conference proceedings 1970 Springer-Verlag Berlin He

Glaci冰

Some results on convergence rates for weighted averages,

synovitis

臭名昭著

abnegate

Inflammation

Lipschitz functions and the prevalence of strict ergodicity for continuous-time flows,ebra isomorphism, as a strictly ergodic homeomorphism in some compact metric set. The present paper provides the analogous result for continuous-time flows: neglecting some measure algebra isomorphism, weakly mixing flows in separable probability spaces can be considered as shift flows on strictly e

overture

Transformations without finite invariant measure have finite strong generators,riant probability measure μ. << μ, then the system of sets A for which ζ ={A,A.} is a strong generator (i.e. for which A, TA, T.A, … generates . mod μ) is dense in every increasing exhaustive subalgebra . of . (i.e. in every . ⊑ . with T.. ↑ .). In particular for .=. it follows that nonsingular tran

分发

,On the existence of a σ-finite invariant measure under a generalized Harris condition,tion which was later given an essentially equivalent measure-theoretic form (see [2], [4], [5], and [8]). The latter includes the assumption that if T is the L. operator induced by the system, then the L. norm of T is one. The present paper weakens this assumption replacing it by: lim inf T. h < ∞ a

不利

Local ergodic theorems for N-parameter semigroups of operators, semigroup of positive contraction operators on L.(Θ,.,μ), then for all f є L.(Θ) . converges almost everywhere as ε + 0 + . The theorem will also be proved for semigroups of non-positive L. contractions which are also L. contracting. Examples are given to show that the maximal ergodic lemmas which

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