TY - JOUR
T1 - FLUCTUATIONS OF ERGODIC AVERAGES
AU - Kalikow, Steven
AU - Weiss, Benjamin
N1 - Publisher Copyright:
© 1999 University of Illinois at Urbana-Champaign.
PY - 1999/9/1
Y1 - 1999/9/1
N2 - We discuss universal estimates for the probability that there are many fluctuations in the ergodic averages of L1 functions. Our methods involve an effective Vitali covering type of theorem and are valid for Zd actions, for any d∈N. For nonnegative functions we get an exponential decay for the probability of a large number of fluctuations.
AB - We discuss universal estimates for the probability that there are many fluctuations in the ergodic averages of L1 functions. Our methods involve an effective Vitali covering type of theorem and are valid for Zd actions, for any d∈N. For nonnegative functions we get an exponential decay for the probability of a large number of fluctuations.
UR - http://www.scopus.com/inward/record.url?scp=85218238294&partnerID=8YFLogxK
U2 - 10.1215/ijm/1255985104
DO - 10.1215/ijm/1255985104
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AN - SCOPUS:85218238294
SN - 0019-2082
VL - 43
SP - 480
EP - 488
JO - Illinois Journal of Mathematics
JF - Illinois Journal of Mathematics
IS - 3
ER -