Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

On a problem in ergodic theory


Author: V. S. Varadarajan
Journal: Bull. Amer. Math. Soc. 68 (1962), 345-350
DOI: https://doi.org/10.1090/S0002-9904-1962-10803-9
MathSciNet review: 0148851
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. E. Bishop and K. de Leeuw, The representations of linear functionals by measures on sets of extreme points, Ann. Inst. Fourier Grenoble 9 (1959), 305-331. MR 114118
  • 2. D. Blackwell, On a class of probability spaces, Proc. 3rd Berkeley Sympos. Mathematical Statistics and Probability, 1954-1955, Vol. II, pp. 1-6, University of California Press, Berkeley and Los Angeles, 1956. MR 84882
  • 3. D. L. Burkholder and Y. S. Chow, Iterates of conditional expectation operators, Proc. Amer. Math. Soc. 12 (1961), 490-495. MR 142144
  • 4. G. Choquet, Existence et unicité des représentations intégrales. Séminaire Bourbaki, Décembre 1956, 139-01 to 139-15.
  • 5. B. De Finetti, La prévision, ses lois logiques, ses sources subjectives, Ann. Inst. Henri Poincaré 7 (1937), 1-68.
  • 6. J. L. Doob, Stochastic processes, Wiley, New York, 1953. MR 58896
  • 7. S. V. Fomin, On measures invariant under certain groups of transformations, Izv. Akad. Nauk. SSSR 14 (1950), 261-274. (Russian) MR 35925
  • 8. P. R. Halmos, Measure theory, Van Nostrand, New York, 1950. MR 33869
  • 9. E. Hewitt and L. J. Savage, Symmetric measures on cartesian products, Trans. Amer. Math. Soc. 80 (1955), 470-501. MR 76206
  • 10. E. Hopf, The general temporally discrete Markoff process, J. Rational Mech. Anal. 3 (1954), 13-45. MR 60181
  • 11. N. Kryloff and N. Bogoliouboff, La théorie générale de la mesure dans son application à l'étude des systemes dynamiques de la mécanique non linéaire, Ann. of Math. 38 (1937), 65-113. MR 1503326
  • 12. C. Kuratowski, Topologie. I, Warsaw, 1948.
  • 13. M. Loève, Probability theory, Van Nostrand, New York, 1955. MR 203748
  • 14. G. W. Mackey, Borel structures in groups and their duals, Trans. Amer. Math. Soc. 85 (1957), 134-165. MR 89999
  • 15. J. von Neumann, Zur Operatorenmethode in der klassischen Mechanik, Math. Ann. 33 (1932), 587-642. MR 1503078
  • 16. J. C. Oxtoby, Ergodic sets, Bull. Amer. Math. Soc. 58 (1952), 116-136. MR 47262


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1962-10803-9

American Mathematical Society