# Filtrations at the threshold of standardness

@article{Ceillier2012FiltrationsAT, title={Filtrations at the threshold of standardness}, author={Gael Ceillier and Christophe Leuridan}, journal={Probability Theory and Related Fields}, year={2012}, volume={158}, pages={785-808} }

A. Vershik discovered that filtrations indexed by the non-positive integers may have a paradoxical asymptotic behaviour near the time $$-\infty $$, called non-standardness. For example, two dyadic filtrations with trivial tail $$\sigma $$-field are not necessarily isomorphic. Yet, from any essentially separable filtration indexed by the non-positive integers, one can extract a subsequence which is a standard filtration. In this paper, we focus on the non-standard filtrations which become…

## 2 Citations

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