Ergodicity of a class of cylinder flows related to irregularities of distribution

Peter Hellekalek

Compositio Mathematica (1987)

  • Volume: 61, Issue: 2, page 129-136
  • ISSN: 0010-437X

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Hellekalek, Peter. "Ergodicity of a class of cylinder flows related to irregularities of distribution." Compositio Mathematica 61.2 (1987): 129-136. <http://eudml.org/doc/89817>.

@article{Hellekalek1987,
author = {Hellekalek, Peter},
journal = {Compositio Mathematica},
keywords = {irregularities of distribution of generalized van der Corput sequences; ergodicity of cylinder flows; generalized von Neumann-Kakutani adding machine-transformation; generalized q-adic digit representation; torus},
language = {eng},
number = {2},
pages = {129-136},
publisher = {Martinus Nijhoff Publishers},
title = {Ergodicity of a class of cylinder flows related to irregularities of distribution},
url = {http://eudml.org/doc/89817},
volume = {61},
year = {1987},
}

TY - JOUR
AU - Hellekalek, Peter
TI - Ergodicity of a class of cylinder flows related to irregularities of distribution
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 61
IS - 2
SP - 129
EP - 136
LA - eng
KW - irregularities of distribution of generalized van der Corput sequences; ergodicity of cylinder flows; generalized von Neumann-Kakutani adding machine-transformation; generalized q-adic digit representation; torus
UR - http://eudml.org/doc/89817
ER -

References

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  1. Anzai, H.: Ergodic skew product transformations on the torus. Osaka Math. J.3 (1951) 83-99. Zbl0043.11203MR40594
  2. Conze, J.P.: Ergodicité d'une transformation cylindrique. Bull. Soc. Math. France108 (1980) 441-456. Zbl0462.28013MR614319
  3. Hellekalek, P.: Regularities in the distribution of special sequences. J. Number Th.18 (1984) 41-55. Zbl0531.10055MR734436
  4. Hewitt, E. and Ross, K.A.: Abstract Harmonic Analysis, Volume I. Springer-Verlag, Heidelberg- New York-Berlin (1963). Zbl0213.40103MR551496
  5. Liardet, P.: Résultats et problèmes de régularité de distributions. In: Théorie élémentaire et analytique des nombres. Journées Mathématiques SMF-CNRS. Valenciennes (1982). 
  6. Liardet, P.: Regularities of distribution. To appear in Comp. Math. Zbl0619.10053MR883484
  7. Oren, I.: Ergodicity of cylinder flows arising from irregularities of distribution. Israel J. Math.44 (1983) 127-138. Zbl0563.28010MR693356
  8. Petersen, K.: On a series of cosecants related to a problem in ergodic theory. Comp. Math.26 (1973) 313-317. Zbl0269.10030MR325927
  9. Petersen, K.: Ergodic Theory. Cambridge University Press, Cambridge, England (1983). Zbl0507.28010MR833286
  10. Schmidt, K.: Lectures on cocycles of ergodic transformation groups. Preprint, University of Warwick, Conventry, England (1976). MR578731

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