메뉴 건너뛰기




Volumn 19, Issue 4, 1999, Pages 1037-1061

Sharp ergodic theorems for group actions and strong ergodicity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033460101     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385799133881     Document Type: Article
Times cited : (26)

References (32)
  • 2
    • 21944455398 scopus 로고    scopus 로고
    • On uniqueness of invariant means
    • M. Bekka. On uniqueness of invariant means. Proc. Amer. Math. Soc. 126 (1998), 507-514.
    • (1998) Proc. Amer. Math. Soc. , vol.126 , pp. 507-514
    • Bekka, M.1
  • 4
    • 51249186397 scopus 로고
    • Property (T) and asymptotically invariant sequences
    • A. Connes and B. Weiss. Property (T) and asymptotically invariant sequences. Israel. J. Math. 37(3) (1980), 209-210.
    • (1980) Israel. J. Math. , vol.37 , Issue.3 , pp. 209-210
    • Connes, A.1    Weiss, B.2
  • 5
    • 0000673785 scopus 로고
    • Counterexamples in ergodic theory and number theory
    • A. del-Junco and J. Rosenblatt. Counterexamples in ergodic theory and number theory. Math. Ann. 245 (1979), 185-197.
    • (1979) Math. Ann. , vol.245 , pp. 185-197
    • Del-Junco, A.1    Rosenblatt, J.2
  • 6
    • 84968515342 scopus 로고
    • On the ergodic mixing theorem
    • H. A. Dye. On the ergodic mixing theorem. Trans. Amer. Math. Soc. 118 (1965), 123-130.
    • (1965) Trans. Amer. Math. Soc. , vol.118 , pp. 123-130
    • Dye, H.A.1
  • 8
    • 84966245002 scopus 로고
    • A note on Borel's density theorem
    • H. Furstenberg. A note on Borel's density theorem. Proc. Amer. Math. Soc. 55 (1976), 209-212.
    • (1976) Proc. Amer. Math. Soc. , vol.55 , pp. 209-212
    • Furstenberg, H.1
  • 9
    • 0001988113 scopus 로고
    • Vanishing of matrix coefficients
    • R. E. Howe and C. C. Moore. Vanishing of matrix coefficients. J. Func. Anal. 32 (1979), 72-96.
    • (1979) J. Func. Anal. , vol.32 , pp. 72-96
    • Howe, R.E.1    Moore, C.C.2
  • 11
    • 0039817381 scopus 로고
    • Random ergodic theorems and Markoff processes with a stable distribution
    • S. Kakutani. Random ergodic theorems and Markoff processes with a stable distribution. Proc. Second Berkeley Symp., 1955, pp. 247-261.
    • (1955) Proc. Second Berkeley Symp. , pp. 247-261
    • Kakutani, S.1
  • 12
    • 0000974959 scopus 로고
    • On power bounded operators
    • Y. Katznelson and L. Tzafriri. On power bounded operators. J. Func. Anal. 68(3) (1986), 313-328.
    • (1986) J. Func. Anal. , vol.68 , Issue.3 , pp. 313-328
    • Katznelson, Y.1    Tzafriri, L.2
  • 14
    • 85033965884 scopus 로고    scopus 로고
    • Logarithm laws for flows on homogeneous spaces
    • To appear
    • D. Y. Kleinbock and G. A. Margulis. Logarithm laws for flows on homogeneous spaces. Invent. Math. To appear.
    • Invent. Math.
    • Kleinbock, D.Y.1    Margulis, G.A.2
  • 15
    • 0039518933 scopus 로고
    • On the speed of convergence in the ergodic theorem
    • U. Krengel. On the speed of convergence in the ergodic theorem. Monatsh. Math. 86(1) (1979), 3-6.
    • (1979) Monatsh. Math. , vol.86 , Issue.1 , pp. 3-6
    • Krengel, U.1
  • 18
    • 51249191164 scopus 로고
    • Mixing properties of a class of skew-products
    • I. Meilijson. Mixing properties of a class of skew-products. Israel. J. Math. 19 (1974), 266-270.
    • (1974) Israel. J. Math. , vol.19 , pp. 266-270
    • Meilijson, I.1
  • 19
    • 0011006992 scopus 로고
    • Ergodicity of flows on homogeneous spaces
    • C. C. Moore. Ergodicity of flows on homogeneous spaces. Amer. J. Math. 88 (1966), 154-178.
    • (1966) Amer. J. Math. , vol.88 , pp. 154-178
    • Moore, C.C.1
  • 20
    • 84960595026 scopus 로고
    • Coboundaries and homomorphisms for non-singular actions and a problem of H. Helson
    • C. C. Moore and K. Schmidt. Coboundaries and homomorphisms for non-singular actions and a problem of H. Helson. Proc. Lond. Math. Soc. 40(3) (1980), 443-475.
    • (1980) Proc. Lond. Math. Soc. , vol.40 , Issue.3 , pp. 443-475
    • Moore, C.C.1    Schmidt, K.2
  • 21
    • 0001934330 scopus 로고
    • Folner's conditions for amenable semi-groups
    • I. Namioka. Folner's conditions for amenable semi-groups. Math. Scand. 15 (1964), 18-28.
    • (1964) Math. Scand. , vol.15 , pp. 18-28
    • Namioka, I.1
  • 22
    • 84972533485 scopus 로고
    • Functional central limit theorems for strictly stationary processes satisfying the strong mixing conditions
    • H. Oodaira and K-I. Yoshihara. Functional central limit theorems for strictly stationary processes satisfying the strong mixing conditions. Kodai Math. Sem. Rep. 24 (1972), 259-269.
    • (1972) Kodai Math. Sem. Rep. , vol.24 , pp. 259-269
    • Oodaira, H.1    Yoshihara, K.-I.2
  • 23
    • 51249179168 scopus 로고
    • Entropy and isomorphism theorems for actions of amenable groups
    • D. Ornstein and B. Weiss. Entropy and isomorphism theorems for actions of amenable groups. J. Anal Math. 48 (1987), 1-141.
    • (1987) J. Anal Math. , vol.48 , pp. 1-141
    • Ornstein, D.1    Weiss, B.2
  • 24
    • 84966235302 scopus 로고
    • Ergodic theory of amenable groups actions I. The Rohlin lemma
    • D. Ornstein and B. Weiss. Ergodic theory of amenable groups actions I. The Rohlin lemma. Bull. Amer. Math. Soc. 2 (1980), 161-164.
    • (1980) Bull. Amer. Math. Soc. , vol.2 , pp. 161-164
    • Ornstein, D.1    Weiss, B.2
  • 25
    • 0002991617 scopus 로고
    • The Shannon-McMillan-Breimann theorem for a class of amenable groups
    • D. Ornstein and B. Weiss. The Shannon-McMillan-Breimann theorem for a class of amenable groups. Israel. J. Math. 44(1) (1983), 53-60.
    • (1983) Israel. J. Math. , vol.44 , Issue.1 , pp. 53-60
    • Ornstein, D.1    Weiss, B.2
  • 26
    • 0003177092 scopus 로고
    • Uniqueness of invariant means for measure preserving transformations
    • J. Rosenblatt. Uniqueness of invariant means for measure preserving transformations. Trans. Amer. Math. Soc. 265 (1981), 623-636.
    • (1981) Trans. Amer. Math. Soc. , vol.265 , pp. 623-636
    • Rosenblatt, J.1
  • 27
    • 84958426430 scopus 로고
    • Amenability, Kazhdan's property (T), strong ergodicity and invariant means for ergodic group actions
    • K. Schmidt. Amenability, Kazhdan's property (T), strong ergodicity and invariant means for ergodic group actions. Ergod. Th. & Dynam. Sys. 1 (1981), 223-236.
    • (1981) Ergod. Th. & Dynam. Sys. , vol.1 , pp. 223-236
    • Schmidt, K.1
  • 29
    • 22644450240 scopus 로고    scopus 로고
    • Invariant measures for algebraic actions, Zariski dense subgroups and Kazhdan's property (T)
    • Y. Shalom. Invariant measures for algebraic actions, Zariski dense subgroups and Kazhdan's property (T). Trans. Amer. Math. Soc. 351(8) (1999), 3387-3412.
    • (1999) Trans. Amer. Math. Soc. , vol.351 , Issue.8 , pp. 3387-3412
    • Shalom, Y.1
  • 30
    • 0001001924 scopus 로고
    • On the convergence rate in the central limit theorem for weakly dependent random variables
    • A. N. Tihomirov. On the convergence rate in the central limit theorem for weakly dependent random variables. Theor. Prob. Appl. 25(4) (1980), 790-808.
    • (1980) Theor. Prob. Appl. , vol.25 , Issue.4 , pp. 790-808
    • Tihomirov, A.N.1
  • 32
    • 84953751498 scopus 로고
    • Cambridge University Press
    • A. Zygmund. Trigonometric Series, vol. 2. Cambridge University Press, 1959.
    • (1959) Trigonometric Series , vol.2
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.