On Vershik's standardness criterion and Tsirelson's notion of cosiness
Émery, Michel ; Schachermayer, Walter
Séminaire de probabilités de Strasbourg, Tome 35 (2001), p. 265-305 / Harvested from Numdam
@article{SPS_2001__35__265_0,
     author = {\'Emery, Michel and Schachermayer, Walter},
     title = {On Vershik's standardness criterion and Tsirelson's notion of cosiness},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     volume = {35},
     year = {2001},
     pages = {265-305},
     mrnumber = {1837293},
     zbl = {1001.60039},
     language = {en},
     url = {http://dml.mathdoc.fr/item/SPS_2001__35__265_0}
}
Émery, Michel; Schachermayer, Walter. On Vershik's standardness criterion and Tsirelson's notion of cosiness. Séminaire de probabilités de Strasbourg, Tome 35 (2001) pp. 265-305. http://gdmltest.u-ga.fr/item/SPS_2001__35__265_0/

[1] D. Aldous & M. Barlow. On countable dense random sets. Séminaire de Probabilités XV, Lecture Notes in Mathematics 850, Springer 1981. | Numdam | Zbl 0457.60030

[2] M.T. Barlow, M. Émery F.B. Knight, S. Song & M. Yor. Autour d'un théorème de Tsirelson sur des filtrations browniennes et non browniennes. Séminaire de Probabilités XXXII, Lecture Notes in Mathematics 1686, Springer 1998. | Numdam | Zbl 0914.60064

[3] S. Beghdadi-Sakrani & M. Émery. On certain probabilities equivalent to coin-tossing, d'après Schachermayer. Séminaire de Probabilités XXXIII, Lecture Notes in Mathematics 1709, Springer 1999. | Numdam | Zbl 0947.60080

[4] N. Belili. Dualité du problème des marges et ses applications. Séminaire de Probabilités XXXIII, Lecture Notes in Mathematics 1709, Springer 1999. | Numdam | MR 1768011 | Zbl 0949.62011

[5] L. Dubins, J. Feldman, M. Smorodinsky & B. Tsirelson. Decreasing sequences of σ-fields and a measure change for Brownian motion. Ann. Prob. 24, 882-904, 1996. | Zbl 0870.60078

[6] H. Dym & H.P. Mckean. Gaussian Processes, Function Theory, and the Inverse Spectral Problem. Academic Press, 1976. | Zbl 0327.60029

[7] M. Émery & W. Schachermayer. Brownian filtrations are not stable under equivalent time-changes. Séminaire de Probabilités XXXIII, Lecture Notes in Mathematics 1709, Springer 1999. | Numdam | Zbl 0949.60087

[8] J. Feldman. Decreasing sequences of σ-fields: product type, standard, and prestandard. ESI preprint, 1998.

[9] J. Feldman & M. Smorodinsky. Decreasing sequences of measurable partitions: product type, standard, and prestandard. Ergodic Theory and Dynamical Systems 20, 1079-1090, 2000. | Zbl 0969.37002

[10] D.N. Hoover. Extending probability spaces and adapted distributions. Séminaire de Probabilités XXVI, Lecture Notes in Mathematics 1526, Springer 1992. | Numdam | MR 1232018 | Zbl 0776.60048

[11] S. Rachev & L. Rüschendorf. Mass Transportation Problems. Springer, 1998 (2 volumes). | Zbl 0990.60500

[12] D. Revuz & M. Yor. Continuous Martingales and Brownian Motion. Springer 1991, 1994, 1999. | Zbl 0731.60002

[13] V.A. Rohlin. On the fundamental ideas of measure theory. Mat. Sb. 25, 107-150, 1949. English translation: A.M.S. Transl. 71, 3-55, 1952. | MR 30584 | Zbl 0033.16904

[14] M. Smorodinsky. Processes with no standard extension. Israel J. Math. 107, 327-331, 1998. | MR 1658583 | Zbl 0921.60074

[15] B. Tsirelson. Triple points: From non-Brownian filtrations to harmonic measures. GAFA, Geom. funct. anal. 7, 1096-1142, 1997. | MR 1487755 | Zbl 0902.31004

[16] B. Tsirelson. About Yor's problem. Unpublished preprint, Tel Aviv University.

[17] A.M. Vershik. Approximation in measure theory. Doctor Thesis, Leningrad 1973. Expanded and updated english version: The theory of decreasing sequences of measurable partitions. St. Petersburg Math. J. 6, 705-761, 1995. | Zbl 0853.28009

[18] J. Warren. On the joining of sticky Brownian motion. Séminaire de Probabilités XXXIII, Lecture Notes in Mathematics 1709, Springer 1999. | Numdam | MR 1767999 | Zbl 0945.60086

[19] H. Von Weizsäcker. Exchanging the order of taking suprema and countable intersections of σ-algebras. Ann. Institut H. Poincaré Section B, 19, 91-100, 1983. | Numdam | MR 699981 | Zbl 0509.60002