On Standardness and I-cosiness

@article{Laurent2011OnSA,
title={On Standardness and I-cosiness},
author={St{\'e}phane Laurent},
journal={Lecture Notes in Mathematics},
year={2011},
volume={2006},
pages={127-186}
}
• S. Laurent
• Published 2011
• Mathematics
• Lecture Notes in Mathematics
The object of study of this work is the invariant characteristics of filtrations in discrete, negative time, pioneered by Vershik. We prove the equivalence between I-cosiness and standardness without using Vershik’s standardness criterion. The equivalence between I-cosiness and productness for homogeneous filtrations is further investigated by showing that the I-cosiness criterion is equivalent to Vershik’s first level criterion separately for each random variable. We also aim to derive the…
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