Exchanging the order of taking suprema and countable intersections of σ-algebras

 Access to full text

 Full (PDF)

1. [1] S. Albeverio and R. Høegh-Krohn, The global Markov property for euclidean and lattice fields. Physics letters, t. 84B, 1979, p. 89-90. Zbl0443.60099MR533849
2. [2] H. Föllmer, On the global Markov property, L. Streit (ed.): Quantum fields-algebras, -processesSpringer:Wien, 1980. Zbl0457.60077MR601817
3. [3] S. Goldstein, Remarks on the Global MarkovProperty. Comm. math. Phys., t. 74, 1980, p. 223-234. Zbl0429.60097MR578041
4. [4] K. Ito and M. Nisio, On stationary solutions of a stochastic differential equation.J. Math., Kyoto Univ., t. 4, 1964, p. 1-75. Zbl0131.16402MR177456
5. [5] G. Kallianpur and V. Mandrekhar, The Markov property for generalized Gaussian random fields. Ann. Inst. Fourier (Grenoble), t. 24, 1974, p. 143-167. Zbl0275.60054MR405569
6. [6] R. Kotecky and D. Preiss, Markoff property of generalized random fields. 7th Winter School on Abstract Analysis. Math. Inst. of the Cz. Acad. of Sciences, Praha, 1979. 
7. [7] H. Künsch, Gaussian Markov random fields. J. of the Fac. of Sciences. Univ. of Tokyo, Sec. IA, t. 26, 1979, p. 53-73. Zbl0408.60038MR539773
8. [8] D. Maharam, An example on tail fields. In: Measure Theory, Applications to Stochastic Analysis (G. Kallianpur and D. Kölzow, eds.). Lecture Notes in Math., 695, Springer, Berlin, etc., 1978, p. 215. Zbl0401.60002MR527090
9. [9] P.A. Meyer et M. Yor, Sur la théorie de la prédiction, et le problème de décomposition des tribus F0t+. Sém. de Probabilités X. Lecture Notes in Math., 511, Springer, Berlin, etc., 1976. Zbl0332.60025
10. [10] E. Nelson, Probability theory and Euclidean field theory in G. Velo, A. Wightman (eds.). Lecture Notes in Physics, 25, Springer, Berlin, etc., 1973. Zbl0367.60108MR395513
11. [11] D. Ornstein and B. Weiss, Every transformation is bilaterally deterministic. Isr. J. of Math., t. 21, 1975, p. 154-158. Zbl0325.28016MR382600
12. [12] M. Rosenblatt, Stationary processes as shifts of functions of independent random variables.J. Math. Mech., t. 8, 1959, p. 665-681. Zbl0092.33601MR114249
13. [13] B.S. Tsirel'son, An example of a stochastic differential equation having no strong solution. Theory of probability and its applications, t. 20, 1975, p. 416-418. Zbl0353.60061
14. [14] v. H. Weizsäcker, A simple example concerning the global Markov Property of lattice random fields. 8th Winter School on Abstract Analysis. Math. Inst. of the Cz. Acad of Sciences, Praha, 1980. 
15. [15] G. Winkler, The number of phases of inhomogeneous Markov fields with finite state space on N and Z and their behaviour at infinity. To appear in Math. Nachr. Zbl0488.60100MR657885

1. Michel Émery, Walter Schachermayer, Brownian filtrations are not stable under equivalent time-changes
2. Thierry Jeulin, Marc Yor, Filtration des ponts browniens et équations différentielles stochastiques linéaires
3. Thierry Jeulin, Marc Yor, Une décomposition non-canonique du drap brownien
4. Christophe Leuridan, Filtration d'une marche aléatoire stationnaire sur le cercle
5. A. Budhiraja, Asymptotic stability, ergodicity and other asymptotic properties of the nonlinear filter
6. Marc Malric, Propriétés d'échange et fins d'ensembles optionnels
7. Martin T. Barlow, Jim Pitman, Marc Yor, On Walsh's brownian motions
8. Jean Brossard, Michel Émery, Christophe Leuridan, Maximal brownian motions
9. Michel Émery, Walter Schachermayer, A remark on Tsirelson's stochastic differential equation
10. Shiqi Song, Optional splitting formula in a progressively enlarged filtration