On Vershik’s Standardness Criterion and Tsirelson’s Notion of Cosiness

@inproceedings{mery2001OnVS,
  title={On Vershik’s Standardness Criterion and Tsirelson’s Notion of Cosiness},
  author={Michel {\'E}mery and Walter Schachermayer},
  year={2001}
}
Building on work done by A. Vershik some thirty years ago, the insight into different types of filtrations has recently seen important progress, due in particular to B. Tsirelson, and L. Dubins, J. Feldman, M. Smorodinsky, B. Tsirelson. Key concepts are the notions of a standard filtration (due to A. Vershik) and of a cosy filtration (due to B. Tsirelson). We investigate the relation between these two concepts and try to provide a comprehensive and self-contained presentation of the topic. 
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