An algebraic group associated to an ergodic diffeomorphism

Robert J. Zimmer

Compositio Mathematica (1981)

  • Volume: 43, Issue: 1, page 59-69
  • ISSN: 0010-437X

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Zimmer, Robert J.. "An algebraic group associated to an ergodic diffeomorphism." Compositio Mathematica 43.1 (1981): 59-69. <http://eudml.org/doc/89493>.

@article{Zimmer1981,
author = {Zimmer, Robert J.},
journal = {Compositio Mathematica},
keywords = {algebraic group associated to an ergodic diffeomorphism; ergodic action of a Lie group; amenable action; essentially free action; tangential measure distality of order p},
language = {eng},
number = {1},
pages = {59-69},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {An algebraic group associated to an ergodic diffeomorphism},
url = {http://eudml.org/doc/89493},
volume = {43},
year = {1981},
}

TY - JOUR
AU - Zimmer, Robert J.
TI - An algebraic group associated to an ergodic diffeomorphism
JO - Compositio Mathematica
PY - 1981
PB - Sijthoff et Noordhoff International Publishers
VL - 43
IS - 1
SP - 59
EP - 69
LA - eng
KW - algebraic group associated to an ergodic diffeomorphism; ergodic action of a Lie group; amenable action; essentially free action; tangential measure distality of order p
UR - http://eudml.org/doc/89493
ER -

References

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  6. [6] Y. Guivarch: Croissance polynomiale et périodes des fonctions harmoniques. Bull. Soc. Math. France, 101 (1973), 333-379. Zbl0294.43003MR369608
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  10. [10] C.C. Moore and R.J. Zimmer: Groups admitting ergodic actions with generalized discrete spectrum. Inv. Math., 51 (1979), 171-188. Zbl0399.22005MR528022
  11. [11] V.I. Oseledec: A multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc., 19 (1968), 197-231. Zbl0236.93034MR240280
  12. [12] Ya B. Pesin: Characteristic Lyapunov exponents and smooth ergodic theory. Russian Math. Surveys, 32 (1977), 55-114. Zbl0383.58011
  13. [13] M.S. Ragunathan: A proof of Oseledec's multiplicative ergodic theorem. Israel J. Math., 32 (1979) 356-362. Zbl0415.28013
  14. [14] A. Ramsay: Virtual groups and group actions. Advances in Math., 6 (1971), 253-322. Zbl0216.14902MR281876
  15. [15] M. Rees: Tangentially distal flows, (Preprint). Zbl0438.58024
  16. [16] K. Schmidt: Cocycles on ergodic transformation groups. Macmillain Lectures in Math., no. 1, Macmillan Co. of India, Delhi, 1977. Zbl0421.28017MR578731
  17. [17] R.J. Zimmer: Extensions of ergodic group actions. Illinois J. Math., 20 (1976), 373-409. Zbl0334.28015MR409770
  18. [18] R.J. Zimmer: Ergodic actions with generalized discrete spectrum. Illinois J. Math., 20 (1976), 555-588. Zbl0349.28011MR414832
  19. [19] R.J. Zimmer: Amenable ergodic group actions and an application to Poisson boundaries of random walks. J. Funct. Anal., 27 (1978), 350-372. Zbl0391.28011MR473096
  20. [20] R.J. Zimmer: Induced and amenable ergodic actions of Lie groups. Ann. Scient. Ec. Norm. Sup., 11 (1978), 407-428. Zbl0401.22009MR521638

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