메뉴 건너뛰기




Volumn 95, Issue , 2005, Pages 63-103

Ergodic averaging sequences

Author keywords

[No Author keywords available]

Indexed keywords


EID: 22144450657     PISSN: 00217670     EISSN: 15658538     Source Type: Journal    
DOI: 10.1007/BF02791497     Document Type: Article
Times cited : (61)

References (21)
  • 1
    • 51249179969 scopus 로고
    • An extension of Hardy's class of 'orders of infinity'
    • M. Boshernitzan, An extension of Hardy's class of 'orders of infinity', J. Analyse Math. 39 (1981), 235-255.
    • (1981) J. Analyse Math. , vol.39 , pp. 235-255
    • Boshernitzan, M.1
  • 2
    • 51249180049 scopus 로고
    • New'orders of infinity'
    • M. Boshernitzan, New 'orders of infinity', J. Analyse Math. 41 (1981), 130-167.
    • (1981) J. Analyse Math. , vol.41 , pp. 130-167
    • Boshernitzan, M.1
  • 3
    • 51249166486 scopus 로고
    • Uniform distribution and Hardy fields
    • M. Boshernitzan, Uniform distribution and Hardy fields, J. Analyse Math. 62 (1994), 225-240.
    • (1994) J. Analyse Math. , vol.62 , pp. 225-240
    • Boshernitzan, M.1
  • 4
    • 85044090795 scopus 로고    scopus 로고
    • Integer and fractional parts of good averaging sequences in ergodic theory
    • (V. Bergelson, P. March and J. Rosenblatt, eds.), de Gruyter, Berlin
    • M. Boshernitzan, R. L. Jones and M. Wierdl, Integer and fractional parts of good averaging sequences in ergodic theory, in Convergence in Ergodic Theory and Probability (Columbus, OH, 1993) (V. Bergelson, P. March and J. Rosenblatt, eds.), de Gruyter, Berlin, 1996, pp. 117-132.
    • (1996) Convergence in Ergodic Theory and Probability (Columbus, OH, 1993) , pp. 117-132
    • Boshernitzan, M.1    Jones, R.L.2    Wierdl, M.3
  • 5
    • 0029775621 scopus 로고    scopus 로고
    • Ergodic theorems along sequences and Hardy fields
    • M. Boshernitzan and M. Wierdl, Ergodic theorems along sequences and Hardy fields, Proc. Nat. Acad. Sci. U.S.A. 93 (1996), no. 16, 8205-8207.
    • (1996) Proc. Nat. Acad. Sci. U.S.A. , vol.93 , Issue.16 , pp. 8205-8207
    • Boshernitzan, M.1    Wierdl, M.2
  • 6
    • 51649148795 scopus 로고
    • Point-wise ergodic theorems for arithmetic sets (appendix: The return time theorem)
    • J. Bourgain, Point-wise ergodic theorems for arithmetic sets (appendix: The return time theorem), Publ. Math. I.H.E.S. 69 (1989), 5-45.
    • (1989) Publ. Math. I.H.E.S. , vol.69 , pp. 5-45
    • Bourgain, J.1
  • 7
    • 0041176689 scopus 로고
    • The distribution of polynomials over finite fields
    • S. D. Cohen, The distribution of polynomials over finite fields, Acta Arith. 17 (1970), 255-271.
    • (1970) Acta Arith. , vol.17 , pp. 255-271
    • Cohen, S.D.1
  • 8
    • 0000931057 scopus 로고
    • Problème de Waring avec exposants non entiers
    • J. M. Deshouillers, Problème de Waring avec exposants non entiers, Bull. Soc. Math. France 101 (1973), 285-295.
    • (1973) Bull. Soc. Math. France , vol.101 , pp. 285-295
    • Deshouillers, J.M.1
  • 10
    • 0039640864 scopus 로고
    • Convergence and divergence of ergodic averages
    • R. Jones and M. Wierdl, Convergence and divergence of ergodic averages, Ergodic Theory Dynam. Systems 14 (1994), 515-535.
    • (1994) Ergodic Theory Dynam. Systems , vol.14 , pp. 515-535
    • Jones, R.1    Wierdl, M.2
  • 12
    • 0031160974 scopus 로고    scopus 로고
    • On an inequality due to Bourgain
    • M. Lacey, On an inequality due to Bourgain, Illinois J. Math. 41 (1997), 231-236.
    • (1997) Illinois J. Math. , vol.41 , pp. 231-236
    • Lacey, M.1
  • 13
    • 84871163783 scopus 로고
    • On the sequence of integer parts of a good sequence for the ergodic theorem
    • E. Lesigne, On the sequence of integer parts of a good sequence for the ergodic theorem, Comment. Math. Univ. Carolin. 36 (1995), 737-743.
    • (1995) Comment. Math. Univ. Carolin. , vol.36 , pp. 737-743
    • Lesigne, E.1
  • 14
    • 22144434534 scopus 로고
    • On a paper of Blum, Eisenberg, and Hahn concerning ergodic theory and the distribution of sequences in the Bohr group
    • H. Niederreiter, On a paper of Blum, Eisenberg, and Hahn concerning ergodic theory and the distribution of sequences in the Bohr group, Acta Sci. Math. (Szeged) 37 (1975), 103-108.
    • (1975) Acta Sci. Math. (Szeged) , vol.37 , pp. 103-108
    • Niederreiter, H.1
  • 16
    • 0002347553 scopus 로고
    • Pointwise ergodic theorems via harmonic analysis
    • (K. Petersen and I. Salama, eds.), London Mathematical Society Lecture Note Series, Cambridge Univ. Press
    • J. Rosenblatt and M. Wierdl, Pointwise ergodic theorems via harmonic analysis, in Ergodic Theory and its Connections with Harmonic Analysis (K. Petersen and I. Salama, eds.), London Mathematical Society Lecture Note Series, no. 205, Cambridge Univ. Press, 1995, pp. 5-151.
    • (1995) Ergodic Theory and Its Connections with Harmonic Analysis , Issue.205 , pp. 5-151
    • Rosenblatt, J.1    Wierdl, M.2
  • 17
    • 0001759079 scopus 로고
    • Maximal inequalities of weak type
    • S. Sawyer, Maximal inequalities of weak type, Ann. of Math. 84 (1966), 157-174.
    • (1966) Ann. of Math. , vol.84 , pp. 157-174
    • Sawyer, S.1
  • 18
    • 84871159723 scopus 로고
    • La convergence presque sûre des moyennes ergodiques suivant certaines soussuites d'entiers (d'après Jean Bourgain)
    • Exp. No. 719, 133-153, Séminaire Bourbaki
    • J.-P. Thouvenot, La convergence presque sûre des moyennes ergodiques suivant certaines soussuites d'entiers (d'après Jean Bourgain), Astérisque (1990), no. 189-190, Exp. No. 719, 133-153, Séminaire Bourbaki, Vol. 1989/90.
    • (1990) Astérisque , vol.1989-1990 , Issue.189-190
    • Thouvenot, J.-P.1
  • 20
    • 0001740140 scopus 로고
    • Neue zahlentheoretische Abschatzungen II
    • J. G. Van der Corput, Neue zahlentheoretische Abschatzungen II, Math. Z. 29 (1929), 397-426.
    • (1929) Math. Z. , vol.29 , pp. 397-426
    • Van Der Corput, J.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.