Ergodic averages and free 2 actions

Zoltán Buczolich

Fundamenta Mathematicae (1999)

  • Volume: 160, Issue: 3, page 247-254
  • ISSN: 0016-2736

How to cite


Buczolich, Zoltán. "Ergodic averages and free $ℤ^2$ actions." Fundamenta Mathematicae 160.3 (1999): 247-254. <>.

author = {Buczolich, Zoltán},
journal = {Fundamenta Mathematicae},
keywords = {measure preserving commuting ergodic transformations; nonatomic Lebesgue space; amenable group},
language = {eng},
number = {3},
pages = {247-254},
title = {Ergodic averages and free $ℤ^2$ actions},
url = {},
volume = {160},
year = {1999},

AU - Buczolich, Zoltán
TI - Ergodic averages and free $ℤ^2$ actions
JO - Fundamenta Mathematicae
PY - 1999
VL - 160
IS - 3
SP - 247
EP - 254
LA - eng
KW - measure preserving commuting ergodic transformations; nonatomic Lebesgue space; amenable group
UR -
ER -


  1. [Bu] Z. Buczolich, Arithmetic averages of rotations of measurable functions, Ergodic Theory Dynam. Systems 16 (1996), 1185-1196. Zbl0869.28008
  2. [M] P. Major, A counterexample in ergodic theory, Acta Sci. Math. (Szeged) 62 (1996), 247-258. Zbl0864.47002
  3. [OW] D. O. Ornstein and B. Weiss, Ergodic theory of amenable group actions. I: the Rohlin lemma, Bull. Amer. Math. Soc. 2 (1980), 161-164. Zbl0427.28018
  4. [P] W. F. Pfeffer, The Riemann Approach to Integration, Cambridge Univ. Press, Cambridge, 1993. Zbl0804.26005
  5. [S] R. Svetic, A function with locally uncountable rotation set, Acta Math. Hungar., to appear. Zbl0963.28013

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