On the Pointwise Ergodic Behaviour of Transformations Preserving Infinite Measures

Jon Aaronson

Publications mathématiques et informatique de Rennes (1977)

  • Issue: 3, page 1-22

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Aaronson, Jon. "On the Pointwise Ergodic Behaviour of Transformations Preserving Infinite Measures." Publications mathématiques et informatique de Rennes (1977): 1-22. <http://eudml.org/doc/274637>.

@article{Aaronson1977,
author = {Aaronson, Jon},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {3},
pages = {1-22},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {On the Pointwise Ergodic Behaviour of Transformations Preserving Infinite Measures},
url = {http://eudml.org/doc/274637},
year = {1977},
}

TY - JOUR
AU - Aaronson, Jon
TI - On the Pointwise Ergodic Behaviour of Transformations Preserving Infinite Measures
JO - Publications mathématiques et informatique de Rennes
PY - 1977
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - 3
SP - 1
EP - 22
LA - eng
UR - http://eudml.org/doc/274637
ER -

References

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  1. [1] J. Aaronson : On the ergodic theory of non-integrable functions and infinite measure spaces. Israel Journal of Mathematics22, n°2 (1977) pp 163-173 Zbl0376.28018MR444899
  2. [2] J. Aaronson : Rational ergodicity and a metric invariant for Markov shifts. Israel Journal of Mathematics. pp 93-123 Zbl0376.28011MR584018
  3. [3] J. Aaronson : Ergodic theory for inner functions of the upper half plane. Submitted to Ann. I.H.P. Zbl0378.28009
  4. [4] S.D. Chatterji : A general strong law. Inventiones Maths. 9 (1970) pp 235-245. Zbl0193.09301MR266276
  5. [5] W. Feller : Introduction to Probability Theory and its applications, vol. 2Wi-ley, N.Y. (1966) Zbl0138.10207MR210154
  6. [6] A. Hajian, Y. Ito and S. Kakutani : Invariant measures and orbits of dissipative transformations. Advances in Math.9 (1972) pp 52-66 Zbl0236.28010MR302860
  7. [7] E. Hopf : Ergodentheorie : ChelseaN.Y. (1948) Zbl0185.29001JFM63.0786.07
  8. [8] S. Kakutani : Induced measure preserving transformations, Proc. Imp. Acad. Sci.Tokyo19 (1943) pp 635-641 Zbl0060.27406MR14222
  9. [9] J. Komlos : A generalisation of a problem of Steinhaus. Acta. Math. Acad. Sci. Hung.18 (1967) pp 217-229 Zbl0228.60012MR210177
  10. [10] E. Seneta : Regularly varying functions : SpringerLecture notes508, Berlin (1976) Zbl0324.26002MR453936

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