Alexandra Bellow - Publications

Publications

1. Ergodic theory of random series, Doctoral dissertation, Yale University, June 1959.
2. Ionescu Tulcea, Alexandra (1959). "Sur le prolongement analytique des séries aléatoires". Comptes Rendus Acad. Sci. Paris 248: 3396–3397.
3. Ionescu Tulcea, Alexandra (1960). "Analytic continuation of random series". Journal Math. And Mech. 9: 339–410.
4. Ionescu Tulcea, Alexandra; C. Ionescu Tulcea (1961). "On the decomposition and integral representation of continuous linear operators". Annali de Matematica pura ed applicata 4 (53): 63–88.
5. Ionescu Tulcea, Alexandra; C. Ionescu Tulcea (1961). "On the lifting property I". Journal Math. Anal. and Applications 3 (3): 537–546. doi:10.1016/0022-247X(61)90075-0.
6. Ionescu Tulcea, Alexandra; C. Ionescu Tulcea (1962). "On the lifting property II, Representation of linear operators on the spaces L_r(E), 1 ≤ r < ∞". Journal Math. And Mech. 11: 773–796.
7. Contribution to information theory for abstract alphabets, Arkiv för Mathematik, 4, No.18, pp. 235–247 (1960).
8. (with C. Ionescu Tulcea) Abstract ergodic theorems, Proceedings Nat. Acad. Sci., U.S.A., pp. 204–206, February 1962.
9. Random series and spectra of measure-preserving transformations, Proceedings Internat. Symposium on Ergodic Theory held at Tulane Univ. October 1961, Academic Press, pp. 273–292 (1963) (Ergodic Theory, Editor: Fred B. Wright).
10. (with C. Ionescu Tulcea) Abstract ergodic theorems, Transactions Amer. Math. Soc., 107, pp. 107–124 (1963).
11. Un théorème de catégorie dans la théorie ergodique, Comptes Rendus Acad. Sci. Paris, 257, pp. 18–20 (1963).
12. (with C. Ionescu Tulcea) Problems and remarks concerning the lifting property, Technical Report, U.S. Army Research Office (Durham), (September 1963).
13. (with C. Ionescu Tulcea) On the lifting property III, Bulletin Amer. Math. Soc., 70, pp. 193–197 (1964).
14. (with C. Ionescu Tulcea) On the lifting property IV, Annales Inst. Fourier, 14, pp. 445–472 ( 1964).
15. Ergodic Properties of isometries in L_p spaces, 1 < p < ∞, Bulletin Amer. Math. Soc., 70 (3), pp. 366–371 (May 1964).
16. On the category of certain classes of transformations in ergodic theory, Transactions Amer. Math. Soc., 114, pp. 262–279 (1965).
17. On the lifting property V, Annals Math. Statistics, 36 (3), pp. 819–828 (1965).
18. (with C. Ionescu Tulcea) On the existence of a lifting commuting with the left translations of an arbitrary locallycompact group, Proceedings Fifth Berkeley Symposium on Math. Stat. And Probability, II, pp. 63–97, University of California Press (1967).
19. Sur le relèvement fort et la desintégration des mesures, Comptes Rendus Acad. Sci. Paris, 262, pp. 617–618 (March 1966).
20. Sur la domination des mesures et la desintégration des mesures, Comptes Rendus Acad. Sci. Paris, pp. 1442–1445 (June 1966).
21. Liftings compatible with topologies, Bulletin Soc. Math. de Grèce, 8, pp. 116–126 (1967).
22. On the lifting property (Invited address), Proceedings Symposium in Analysis, Queen’s University, Kingston, Ontario (June 1967).
23. (with C. Ionescu Tulcea) Liftings for abstract-valued functions and separable stochastic processes, Zeitschrift für Wahrscheinlichkeitstheorie, 13, (1969).
24. (with M. Moretz) Ergodic properties of semi-Markovian operators on the Z1- part, Zeitschrift für Wahr., 13, pp. 119–122 (1969).
25. (with C. Ionescu Tulcea) TOPICS IN THE THEORY OF LIFTINGS monograph, Springer-Verlag, Ergebnisse der Mathematik, Band 48, 1969.
26. On super-mean-valued functions and semi-polar sets, Journal Math. Anal. and Applications, 34, pp. 19–25 (1971).
27. On pointwise convergence, compactness and equicontinuity in the lifting topology I, Zeitschrift für Wahr., 26, pp. 197–205 (1973).
28. On pointwise convergence, compactness and equicontinuity II, Advances in Math., 12, pp. 171–177 ( Febr. 1974).
29. On measurability, pointwise convergence and compactness, (Invited address), AMS Meeting, April 1973 / Evanston, Bulletin Amer. Math. Soc., 80, pp. 231–236 (March 1974).
30. (with D. G. Austin and G. A. Edgar) Pointwise convergence in terms of convergence in expectation, Zeitschrift für Wahr., 30, pp. 17–26 (1974).
31. An L_p- inequality with application to Ergodic Theory, ( Invited paper), Houston Journal of Math., 1, pp. 153–159 (1975), (first issue).
32. A problem in L_p- spaces, Proceedings Internat. Conference on Measure Theory held at Oberwolfach June 1975, Springer-Verlag Lecture Notes Math. #541, pp. 381–388 (1976).
33. Concluding Remarks, Proceedings Internat. Conference on Measure Theory held at Oberwolfach June 1975, Springer-Verlag Lecture Notes Math. #541, pp. 429–430 (1976).
34. Stability properties of the class of asymptotic martingales, Bulletin Amer. Math,Soc., 82, No. 2, pp. 338–340 (March 1976).
35. On vector-valued asymptotic martingales, Proceedings Nat. Acad. Sci., U.S.A., 73, No. 6, pp. 1798–1799 (June 1976).
36. Several stability properties of the class of asymptotic martingales, Zeitschrift für Wahr., 37, pp. 275–290 (1977).
37. Les amarts uniformes, Comptes Rendus Acad, Sci. Paris, 284, Série A, pp. 1295–1298 (1977).
38. Uniform amarts: A class of asymptotic martingales for which strong almost sure convergence obtains, Zeitschrift für Wahr., 41, pp. 177–191 (1978).
39. Some aspects of the theory of vector-valued amarts (Keynote invited lecture), Vector Space Measures and Applications I, Proceedings of the 1977 Dublin Conference, Springer-Verlag Lecture Notes Math., #644, pp. 57–67 (1978).
40. Submartingale characterization of measurable cluster points (Invited paper), Advances in Probability, 4, pp. 69–80 (1978) ( Probability on Banach Spaces, Editor: James D. Kuelbs ).
41. (with A. Dvoretzky) A characterization of almost sure convergence, Proceedings Second Internat. Conference on Probability in Banach Spaces, Oberwolfach June 1978, Springer-Verlag Lecture Notes Math., #709, pp. 45–65 (1979).
42. (with H. Furstenberg) An application of number theory to ergodic theory and the construction of uniquely ergodic models, Israel Journal Math. ( special volume dedicated to the memory of Shlomo Horowitz ), 33, No.3-4, pp. 231–240 (1979).
43. Mesures de Radon et espaces relèvement compacts, Comptes Rendus Acad. Sci. Paris, 289, Série A, pp. 621–624 (1979).
44. Lifting compact spaces, Proceedings Conference on Measure Theory, Oberwolfach, July 1979, Springer-Verlag Lecture Notes Math., #794, pp. 233–253 (1980).
45. (with A. Dvoretzky) On martingales in the limit, Annals of Probability, 8, pp. 602–606 (1980).
46. Martingales, amarts and related stopping time techniques ( Invited survey lecture ), Proceedings Third Internat. Conference on Probability in Banach Spaces, Tufts University, August 1980, Springer-Verlag Lecture Notes Math., # 860, pp. 9–24 (1981).
47. ( with L. Egghe ) Inégalités de Fatou généralisées, Comptes Rendus Acad. Sci. Paris, #292, Série I, pp. 847–850 ( May 1981 ).
48. ( with L Egghe ) Generalized Fatou inequalities, Annales Inst. Henri Poincaré, Section B, XVIII, No. 4, pp. 335–365 ( December 1982 ).
49. Sur la structure des suites mauvaises universelles en Théorie Ergodique, Comptes Rendus Acad. Sci. Paris, 294, pp. 55–58 ( January 1982 ).
50. Two problems, Proceedings Conference on Measure Theory, Oberwolfach, June 1981, Springer-Verlag Lecture Notes Math., #945, pp. 429–431 (1982).
51. On “bad universal” sequences in ergodic theory (II), Measure theory and its Applications, Proceedings of a Conference held at Université de Sherbrooke, Quebec, Canada, June 1982, Springer-Verlag Lecture Notes Math, #1033, pp. 74–78 (1983)
52. Editor ( together with R. Beals, A. Beck and A. Hajian ), CONFERENCE IN MODERN ANALYSIS AND PROBABILITY held in June 1982 at Yale University in honor of Professor Shizuo Kakutani, on the occasion of his retirement, Contemporary Mathematics Series, AMS., 26 (1984).
53. ( with V. Losert ) On sequences of density zero in ergodic theory, Contemporary Math. Series, AMS, 26, pp. 49–60 (1984).
54. ( with V. Losert ) The weighted pointwise ergodic theorem and the individual ergodic theorem along subsequences, Transactions Amer. Math. Soc., 288, No.1, pp. 307–345 (1985).
55. For the historical record, Proceedings Conference on Measure theory, Oberwolfach, June 1983, Springer-Verlag Lecture Notes Math., #1089, (1985).
56. ( with D. G. Austin and N. Bouzar ) The Fatou inequality revisited: variations on a theme by A. Dvoretzky, Proceedings Fifth Internat. Conference on Probability in Banach Spaces, Tufts University, July 1984, Springer-Verlag Lecture Notes Math. (1985).
57. Perturbation of a sequeence, Advances in Math., 78, No.2, pp. 131–139, (1989).
58. ( with. R. Jones and J. Rosenblatt ), Convergence for moving averages, Ergodic Th. & Dynam. Syst., 10, pp. 43–62 (1990).
59. Editor ( together with R.L. Jones ), ALMOST EVERYWHERE CONVERGENCE II, Proceedings Internat. Conference on Almost Everywhere Convergence in Probability and Ergodic Theory, Evanston, Illinois, October 1989, Academic Press, Inc. 1991.
60. ( with U. Krengel ) On Hopf’s ergodic theorem for particles with different velocities, ALMOST EVERYWHERE CONVERGENCE II everywhere convergence II, Proceedings Internat. Conference on Almost Everywhere Convergence in Probability and Ergodic Theory, Evanston, October 1989, pp. 41–47, Academic Press, Inc. (1991).
61. ( with R. Jones and J. Rosenblatt ), Almost everywhere convergence of weighted averages, Math. Annalen, 293, pp. 399–426 (1992)
62. ( with M. Akcoglu, A. del Junco and R. Jones ), Divergence of averages obtained by sampling a flow, Proceedings Amer. Math. Soc., 118, pp. 499–505 (1993).
63. ( with R. Jones and J. Rosenblatt ), Almost everywhere convergenve of convolution powers, Ergodic Th. & Dynam. Syst., 14, pp. 415–432 (1994).
64. ( with A. P. Calderón and U. Krengel ), Hopf’s ergodic theorem for particles with different velocities and the “strong sweeping out property”, Canadian Math. Bulletin, 38, No.1, pp. 11–15 (1995).
65. ( with M. Akcoglu, R. Jones, V. Losert, K. Reinhold-Larsson and M. Wierdl ), The strong sweeping out property for lacunary sequences, Riemann sums, convolution powers and related matters, Ergodic Th. & Dynam. Syst., 16, pp. 207–253 (1996).
66. ( with R. Jones ), A Banach Principle for L∞, Advances in Math., 120, No.1, pp. 155–172 (1996).
67. Transference Principles in Ergodic Theory, HARMONIC ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS, Essays in honor of Alberto P. Calderón to celebrate his 75th birthday, Chicago Lectures in Math. Series, The University of Chicago Press, pp. 27–39, 1999 ( Editors: Michael Christ, Carlos E. Kenig and Cora Sadosky ).
68. ( with Alberto P. Calderón ), A Weak-Type Inequality for Convolution Products, in the same volume as the previous paper, pp. 41–48.
69. ( with U. Krengel ) On the L1- behavior of the maximal operator for the class of martingales adapted to a given filtration, Illinois Journal Math., 43, No.3, pp. 568–581 (1999).
70. ( with M. Akcoglu, J. Baxter and R. Jones ), On restricted weak-type (1,1); the discrete case, Israel Journal Math., 124, pp. 285–297 (2001).
71. From Riemann to Lebesgue by a.s. averaging, Invited talk given at the 6th Congress of Romanian Mathematicians, held June 28-July 4, 2007, Bucharest, Romania, Proceedings of the Congress, Vol 1, Editura Acad Rom., Bucharest, 2009).
72. Editor ( together with Carlos E. Kenig and Paul Malliavin ), SELECTED PAPERS OF ALBERTO P. CALDERÓN WITH COMMENTARY, 639 pages, Collected Works 21, Amer. Math. Society, 2008.