On Vershik's standardness criterion and Tsirelson's notion of cosiness

 Access to full text

 Full (PDF)

1. [1] D. Aldous& M. Barlow. On countable dense random sets. Séminaire de Probabilités XV, Lecture Notes in Mathematics850, Springer1981. Zbl0457.60030
2. [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 Mathematics1686, Springer1998. Zbl0914.60064
3. [3] S. Beghdadi-Sakrani & M. Émery. On certain probabilities equivalent to coin-tossing, d'après Schachermayer. Séminaire de Probabilités XXXIII, Lecture Notes in Mathematics1709, Springer1999. Zbl0947.60080
4. [4] N. Belili. Dualité du problème des marges et ses applications. Séminaire de Probabilités XXXIII, Lecture Notes in Mathematics1709, Springer1999. Zbl0949.62011MR1768011
5. [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. Zbl0870.60078
6. [6] H. Dym & H.P. McKean. Gaussian Processes, Function Theory, and the Inverse Spectral Problem. Academic Press, 1976. Zbl0327.60029
7. [7] M. Émery & W. Schachermayer. Brownian filtrations are not stable under equivalent time-changes. Séminaire de Probabilités XXXIII, Lecture Notes in Mathematics1709, Springer1999. Zbl0949.60087
8. [8] J. Feldman. Decreasing sequences of σ-fields: product type, standard, and prestandard. ESI preprint, 1998. 
9. [9] J. Feldman & M. Smorodinsky. Decreasing sequences of measurable partitions: product type, standard, and prestandard. Ergodic Theory and Dynamical Systems20, 1079-1090, 2000. Zbl0969.37002
10. [10] D.N. Hoover. Extending probability spaces and adapted distributions. Séminaire de Probabilités XXVI, Lecture Notes in Mathematics1526, Springer1992. Zbl0776.60048MR1232018
11. [11] S. Rachev & L. Rüschendorf. Mass Transportation Problems. Springer, 1998 (2 volumes). Zbl0990.60500
12. [12] D. Revuz & M. Yor. Continuous Martingales and Brownian Motion. Springer1991, 1994, 1999. Zbl0731.60002
13. [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. Zbl0033.16904MR30584
14. [14] M. Smorodinsky. Processes with no standard extension. Israel J. Math.107, 327-331, 1998. Zbl0921.60074MR1658583
15. [15] B. Tsirelson. Triple points: From non-Brownian filtrations to harmonic measures. GAFA, Geom. funct. anal.7, 1096-1142, 1997. Zbl0902.31004MR1487755
16. [16] B. Tsirelson. About Yor's problem. Unpublished preprint, Tel Aviv University. 
17. [17] A.M. Vershik. Approximation in measure theory. Doctor Thesis, Leningrad1973. Expanded and updated english version: The theory of decreasing sequences of measurable partitions. St. Petersburg Math. J.6, 705-761, 1995. Zbl0853.28009
18. [18] J. Warren. On the joining of sticky Brownian motion. Séminaire de Probabilités XXXIII, Lecture Notes in Mathematics1709, Springer1999. Zbl0945.60086MR1767999
19. [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. Zbl0509.60002MR699981

1. Christophe Leuridan, Filtration d'une marche aléatoire stationnaire sur le cercle
2. Walter Schachermayer, Addendum to the paper : “On certain probabilities equivalent to Wiener measure”
3. M. Émery, On certain almost brownian filtrations
4. Shiqi Song, Optional splitting formula in a progressively enlarged filtration
5. Michel Émery, Espaces probabilisés filtrés : de la théorie de Vershik au mouvement brownien, via des idées de Tsirelson