Ergodic theorems along sequences and Hardy fields

Proceedings of the National Academy of Sciences of the United States of America

Volumn 93, Issue 16, 1996, Pages 8205-8207

  Boshernitzan, Michael ^a   Wierdl, Máté ^b  

^a RICE UNIVERSITY   (United States)

^b University of Memphis   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; FOURIER ANALYSIS; MATHEMATICS; MOLECULE; PRIORITY JOURNAL; STATISTICS; THEORY; VELOCITY;

EID: 0029775621     PISSN: 00278424     EISSN: None     Source Type: Journal    
DOI: 10.1073/pnas.93.16.8205     Document Type: Article

References (20)

1. Bourgain, J. (1989) Publ. Math. Inst. Hautes Études Sci. 69, 5-45.
2. Bourgain, J. (1993) III. J. Math. 37, 624-636.
3. Lacey, M., Petersen, K., Rudolph, D. & Wierdl, M. (1994) Ann. Inst. Henri Poincare 30, 353-395.
4. Bourgain, J. (1988) Isr. J. Math. 61, 39-72.
5. Bourgain, J. (1988) Isr. J. Math. 61, 73-84.
6. Wierdl, M. (1989) Ph.D. thesis (Ohio State Univ., Columbus, OH).
7. Boshernitzan, M. (1994) J. Anal. Math. 62, 225-240.
8. Hardy, G. (1924) Orders of Infinity (Cambridge Thaets in Math, and Math. Phys., Cambridge, U.K.), 2nd Ed., Vol. 12.
9. Boshernitzan, M. (1981) J. Anal. Math. 39, 235-255.
10. Boshernitzan, M. (1981) J. Anal. Math. 41, 130-167.
11. Boshernitzan, M. (1987) J. London Math. Soc. 35, 109-120.
12. Rosenlicht, M. (1983) J. Math. Anal. Appl. 93, 297-311.
13. Rosenlicht, M. (1983) Trans. Am. Math. Soc. 280, 659-671.
14. Khovanskii, A. G. (1991) Translations of Mathematical Monographs (Am. Math. Soc., Providence, RI), Vol. 88.
15. Boshernitzan, M. (1984) Am. J. Math. 106, 1067-1089.
16. Baker, R. C. (1984) Proc. London Math. Soc. 49, 87-110.
17. Karacuba, A. (1973) Proc. Steklov. Inst. 112, 251-265.
18. Jones, R. & Wierdl, M. (1994) Ergodic Theor. Dyn. Syst. 14, 515-535.
19. Bergelson, V., Boshernitzan, M. & Bourgain, J. (1994) J. Anal. Math. 62, 30-46.
20. Boshernitzan, M., Jones, R. & Wierdl, M. (1996) Proceedings of Conference on Ergodic Theory and Probability, June 1993 (Ohio State Univ., Columbus), in press.