A LIMIT THEOREM FOR OCCUPATION MEASURES OF LÉVY PROCESSES IN COMPACT GROUPS-Reference-Cited by-同舟云学术

A LIMIT THEOREM FOR OCCUPATION MEASURES OF LÉVY PROCESSES IN COMPACT GROUPS

Published:2012-12-18 Issue:01 Volume:13 Page:1250008
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

BERGER ARNO¹,EVANS STEVEN N.²

Affiliation:

1. Mathematical and Statistical Sciences, University of Alberta, Edmonton AB, T6G 2G1, Canada

2. Department of Statistics #3860, 367 Evans Hall, University of California, Berkeley, CA 94720-3860, USA

Abstract

A short proof utilizing dynamical systems techniques is given of a necessary and sufficient condition for the normalized occupation measure of a Lévy process in a metrizable compact group to be asymptotically uniform with probability one.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493712500086

Reference31 articles.

1. Lévy Processes and Stochastic Calculus

2. Mesure invariante sur les classes r�currentes des processus de Markov

3. A basic theory of Benford’s Law

4. Dichotomy and infinite combinatorics: the theorems of Steinhaus and Ostrowski

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