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

290 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein
• ISBN: 9783540051886
• Sprache: Englisch
• Erscheinungsdatum: 01.01.1970
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: L. Sucheston