Complementability and maximality in different contexts: ergodic theory, Brownian and poly-adic filtrations
Probability
2018-09-24 v2
Abstract
The notions of complementability and maximality were introduced in 1974 by Ornstein and Weiss in the context of the automorphisms of a probability space, in 2008 by Brossard and Leuridan in the context of the Brownian filtrations, and in 2017 by Leuridan in the context of the poly-adic filtrations indexed by the non-positive integers. We present here some striking analogies and also some differences existing between these three contexts.
Cite
@article{arxiv.1802.03757,
title = {Complementability and maximality in different contexts: ergodic theory, Brownian and poly-adic filtrations},
author = {Christophe Leuridan},
journal= {arXiv preprint arXiv:1802.03757},
year = {2018}
}
Comments
40 pages