Bergelson's theorem for weakly mixing C*-dynamical systems

Rocco Duvenhage. "Bergelson's theorem for weakly mixing C*-dynamical systems." Studia Mathematica 192.3 (2009): 235-257. <http://eudml.org/doc/284408>.

@article{RoccoDuvenhage2009,
abstract = {We study a nonconventional ergodic average for asymptotically abelian weakly mixing C*-dynamical systems, related to a second iteration of Khinchin's recurrence theorem obtained by Bergelson in the measure-theoretic case. A noncommutative recurrence theorem for such systems is obtained as a corollary.},
author = {Rocco Duvenhage},
journal = {Studia Mathematica},
keywords = {nonconventional ergodic average; recurrence; weakly mixing -dynamical system; asymptotic abelian; -dynamical system},
language = {eng},
number = {3},
pages = {235-257},
title = {Bergelson's theorem for weakly mixing C*-dynamical systems},
url = {http://eudml.org/doc/284408},
volume = {192},
year = {2009},
}

TY - JOUR
AU - Rocco Duvenhage
TI - Bergelson's theorem for weakly mixing C*-dynamical systems
JO - Studia Mathematica
PY - 2009
VL - 192
IS - 3
SP - 235
EP - 257
AB - We study a nonconventional ergodic average for asymptotically abelian weakly mixing C*-dynamical systems, related to a second iteration of Khinchin's recurrence theorem obtained by Bergelson in the measure-theoretic case. A noncommutative recurrence theorem for such systems is obtained as a corollary.
LA - eng
KW - nonconventional ergodic average; recurrence; weakly mixing -dynamical system; asymptotic abelian; -dynamical system
UR - http://eudml.org/doc/284408
ER -