On Vershik's standardness criterion and Tsirelson's notion of cosiness.
Emery, Michel ; Schachermayer, Walter
HAL, hal-00129657 / Harvested from HAL
Text on HAL
"Besides exposing Vershik's theory of standard filtrations and his theorem on lacunary isomorphism, we show that standardness is equivalent to a variant (called I-cosiness) of Tsirelson's notion of cosiness; we show that I-cosiness is strictly stronger than another variant used in earlier works. We also answer a question of von Weizs/"acker on germ sigma-fields. "
Publié le : 2000-02-28
Classification:  filtration,  germ sigma-field,  "filtration,  standard filtration,  cosy filtration,  germ sigma-field",  60G99, 60G25,  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] 
@article{hal-00129657,
     author = {Emery, Michel and Schachermayer, Walter},
     title = {On Vershik's standardness criterion and Tsirelson's notion of cosiness.},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00129657}
}

Emery, Michel; Schachermayer, Walter. On Vershik's standardness criterion and Tsirelson's notion of cosiness.. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00129657/