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Volumn 34, Issue 4, 2000, Pages 239-251

Operator Ergodic Theorems for Actions of Free Semigroups and Groups

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EID: 0034559708     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004116205980     Document Type: Article
Times cited : (17)

References (24)
  • 1
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • Gersten S. M., ed., M.S.R.I. Publ., Springer-Verlag
    • M. Gromov, "Hyperbolic groups, " In: Essays in Group Theory (Gersten S. M., ed.), M.S.R.I. Publ., Vol. 8, Springer-Verlag, 1987, pp. 75-263.
    • (1987) Essays in Group Theory , vol.8 , pp. 75-263
    • Gromov, M.1
  • 2
    • 0010700417 scopus 로고
    • Markov chains, skew-products and ergodic theorems for 'general' dynamical systems
    • V. I. Oseledets, "Markov chains, skew-products and ergodic theorems for 'general' dynamical systems, " Teor. Veroyatn. Primenen., 10, No. 3, 551-557 (1965).
    • (1965) Teor. Veroyatn. Primenen. , vol.10 , Issue.3 , pp. 551-557
    • Oseledets, V.I.1
  • 3
    • 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, " In: Proc. 2nd Berkeley Symposium Math. Stat. and Prob., 1951, pp. 247-261.
    • (1951) Proc. 2nd Berkeley Symposium Math. Stat. And Prob. , pp. 247-261
    • Kakutani, S.1
  • 4
    • 0037985441 scopus 로고    scopus 로고
    • Dynamical theory of growth in groups: Entropy, boundaries, examples
    • A. M. Vershik, "Dynamical theory of growth in groups: Entropy, boundaries, examples, " Usp. Mat. Nauk, 55, No. 4, 59-128 (2000).
    • (2000) Usp. Mat. Nauk , vol.55 , Issue.4 , pp. 59-128
    • Vershik, A.M.1
  • 6
    • 0039741963 scopus 로고    scopus 로고
    • Numerical characteristics of groups and the relations between them
    • A. M. Vershik, "Numerical characteristics of groups and the relations between them, " Zap. Nauchn. Sem. POMI, 256, 5-18 (1999).
    • (1999) Zap. Nauchn. Sem. POMI , vol.256 , pp. 5-18
    • Vershik, A.M.1
  • 8
    • 0040504861 scopus 로고    scopus 로고
    • Ergodic theorems for actions of a free group and a free semigroup
    • R. I. Grigorchuk, "Ergodic theorems for actions of a free group and a free semigroup, " Mat. Zametki, 65, No. 5, 779-782 (1999).
    • (1999) Mat. Zametki , vol.65 , Issue.5 , pp. 779-782
    • Grigorchuk, R.I.1
  • 9
    • 0010705024 scopus 로고
    • Uniform distribution of points on a sphere and certain ergodic properties of solutions of linear ordinary differential equations in a complex domain
    • V. I. Arnold and A. L. Krylov, "Uniform distribution of points on a sphere and certain ergodic properties of solutions of linear ordinary differential equations in a complex domain, " Dokl. Akad. Nauk SSSR, 148, No. 1, 9-12 (1963).
    • (1963) Dokl. Akad. Nauk SSSR , vol.148 , Issue.1 , pp. 9-12
    • Arnold, V.I.1    Krylov, A.L.2
  • 10
    • 0042729164 scopus 로고
    • σ-algebra of symmetric events for a countable Markov chain
    • L. A. Grigorenko, "σ-algebra of symmetric events for a countable Markov chain, " Teor. Veroyatn. Primenen., 24, No. 1, 198-204 (1979).
    • (1979) Teor. Veroyatn. Primenen. , vol.24 , Issue.1 , pp. 198-204
    • Grigorenko, L.A.1
  • 11
    • 85011893379 scopus 로고    scopus 로고
    • On the symmetric σ-algebra of a stationary Harris Markov process
    • Z. I. Bezhaeva and V. I. Oseledets, "On the symmetric σ-algebra of a stationary Harris Markov process, " Teor. Veroyatn. Primenen., 41, No. 4, 869-877 (1996).
    • (1996) Teor. Veroyatn. Primenen. , vol.41 , Issue.4 , pp. 869-877
    • Bezhaeva, Z.I.1    Oseledets, V.I.2
  • 12
    • 0005520639 scopus 로고
    • Convergence almost everywhere of operator averages
    • N. Dunford and J. T. Schwartz, "Convergence almost everywhere of operator averages, " J. Rational Mech. Anal., 5, 129-178 (1956).
    • (1956) J. Rational Mech. Anal. , vol.5 , pp. 129-178
    • Dunford, N.1    Schwartz, J.T.2
  • 13
    • 0003037291 scopus 로고
    • The general temporally discrete Markoff process
    • E. Hopf, "The general temporally discrete Markoff process, " J. Rational Mech. Anal., 3, 13-45 (1954).
    • (1954) J. Rational Mech. Anal. , vol.3 , pp. 13-45
    • Hopf, E.1
  • 14
    • 0040234615 scopus 로고
    • A local limit theorem for classical Markov chains
    • A. N. Kolmogorov, "A local limit theorem for classical Markov chains, " Izv. Akad. Nauk SSSR, Ser. Mat., 13, No. 4, 281-300 (1949); English transl, in Select. Transl. Math. Statist. Probab., Vol. 2, Amer. Math. Soc., 1962, pp. 109-129.
    • (1949) Izv. Akad. Nauk SSSR, Ser. Mat. , vol.13 , Issue.4 , pp. 281-300
    • Kolmogorov, A.N.1
  • 15
    • 0042228273 scopus 로고
    • English transl
    • A. N. Kolmogorov, "A local limit theorem for classical Markov chains, " Izv. Akad. Nauk SSSR, Ser. Mat., 13, No. 4, 281-300 (1949); English transl, in Select. Transl. Math. Statist. Probab., Vol. 2, Amer. Math. Soc., 1962, pp. 109-129.
    • (1962) Select. Transl. Math. Statist. Probab., Vol. 2, Amer. Math. Soc. , vol.2 , pp. 109-129
  • 16
    • 0042228270 scopus 로고
    • The local limit theorem for Markov chains and regularity type conditions
    • B. M. Gurevich, "The local limit theorem for Markov chains and regularity type conditions, " Teor. Veroyatn. Primenen., 13, No. 1, 183-190 (1968).
    • (1968) Teor. Veroyatn. Primenen. , vol.13 , Issue.1 , pp. 183-190
    • Gurevich, B.M.1
  • 17
    • 84968521657 scopus 로고
    • Harmonic analysis and pointwise ergodic theorems for non-commuting transformations
    • A. Nevo, "Harmonic analysis and pointwise ergodic theorems for non-commuting transformations, " J. Amer. Math. Soc., 7, 875-902 (1994).
    • (1994) J. Amer. Math. Soc. , vol.7 , pp. 875-902
    • Nevo, A.1
  • 18
    • 0000506625 scopus 로고
    • The combinatorial structure of cocompact discrete hyperbolic groups
    • J. Cannon, "The combinatorial structure of cocompact discrete hyperbolic groups, " Geom. Dedicata, 16, 123-148 (1984).
    • (1984) Geom. Dedicata , vol.16 , pp. 123-148
    • Cannon, J.1
  • 19
    • 0002010929 scopus 로고
    • A generalization of Birkhoff's pointwise ergodic theorem
    • A. Nevo and E. M. Stein, "A generalization of Birkhoff's pointwise ergodic theorem, " Acta Math., 173, 135-154 (1994).
    • (1994) Acta Math. , vol.173 , pp. 135-154
    • Nevo, A.1    Stein, E.M.2
  • 20
    • 0000989072 scopus 로고
    • Généralisation d'un théorème de von Neumann
    • Y. Guivarc'h, "Généralisation d'un théorème de von Neumann, " C. R. Acad. Sci Paris, 268, 1020-1023 (1969).
    • (1969) C. R. Acad. Sci Paris , vol.268 , pp. 1020-1023
    • Guivarc'h, Y.1
  • 21
    • 0043230424 scopus 로고
    • Means of iterated transformations in reflexive vector spaces
    • E. R. Lorch, "Means of iterated transformations in reflexive vector spaces, " Bull. Amer. Math. Soc., 45, 945-947 (1939).
    • (1939) Bull. Amer. Math. Soc. , vol.45 , pp. 945-947
    • Lorch, E.R.1
  • 22
    • 0003665284 scopus 로고
    • Walter de Gruyter, Berlin-New York
    • U. Krengel, Ergodic Theorems, Walter de Gruyter, Berlin-New York, 1985.
    • (1985) Ergodic Theorems
    • Krengel, U.1
  • 23
    • 0010242424 scopus 로고    scopus 로고
    • Ergodic theorems for several maps
    • A. Bufetov, "Ergodic theorems for several maps, " Usp. Mat. Nauk, 54, No. 4, 159-160 (1999).
    • (1999) Usp. Mat. Nauk , vol.54 , Issue.4 , pp. 159-160
    • Bufetov, A.1


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