Contributions to Ergodic Theory and Probability

Proceedings of the First Midwestern Conference on Ergodic Theory held at the Ohio State University, March 27-30, 1970
Mitarbeit:Sucheston, L.

• Broschiertes Buch

Produktbeschreibung

Continuous flows in the plane.- New conditions for existence of invariant measures in ergodic theory.- Approximation and spectral multiplicity.- Approximation and invariance.- On some applications of probability methods to additive number theoretic problems.- Example of an ergodic measure preserving transformation on an infinite measure space.- Some results on convergence rates for weighted averages.- A note on ?-finite invariant measures.- Super-mean-valued functions and semipolar sets.- Liftings and derivation bases.- Lipschitz functions and the prevalence of strict ergodicity for continuous-time flows.- Weak ratio convergence of measures in infinite measure spaces.- Transformations without finite invariant measure have finite strong generators.- On the Araki-Woods asymptotic ratio set and non-singular transformations of a measure space.- Imbedding Bernoulli shifts in flows.- On the existence of a ?-finite invariant measure under a generalized Harris condition.- The Ambrose-Kakutani theorem and the poisson process.- Generalized martingales.- Local ergodic theorems for N-parameter semigroups of operators.

Produktdetails

• Lecture Notes in Mathematics 160
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-05188-6
• 1970
• Seitenzahl: 290
• Erscheinungstermin: 1. Januar 1970
• Englisch
• Abmessung: 235mm x 155mm x 16mm
• Gewicht: 472g
• ISBN-13: 9783540051886
• ISBN-10: 3540051880
• Artikelnr.: 23380574

Inhaltsangabe

Continuous flows in the plane.- New conditions for existence of invariant measures in ergodic theory.- Approximation and spectral multiplicity.- Approximation and invariance.- On some applications of probability methods to additive number theoretic problems.- Example of an ergodic measure preserving transformation on an infinite measure space.- Some results on convergence rates for weighted averages.- A note on ?-finite invariant measures.- Super-mean-valued functions and semipolar sets.- Liftings and derivation bases.- Lipschitz functions and the prevalence of strict ergodicity for continuous-time flows.- Weak ratio convergence of measures in infinite measure spaces.- Transformations without finite invariant measure have finite strong generators.- On the Araki-Woods asymptotic ratio set and non-singular transformations of a measure space.- Imbedding Bernoulli shifts in flows.- On the existence of a ?-finite invariant measure under a generalized Harris condition.- The Ambrose-Kakutani theorem and the poisson process.- Generalized martingales.- Local ergodic theorems for N-parameter semigroups of operators.