Mixing on rank-one transformations

Darren Creutz, and Cesar E. Silva. "Mixing on rank-one transformations." Studia Mathematica 199.1 (2010): 43-72. <http://eudml.org/doc/285459>.

@article{DarrenCreutz2010,
abstract = {We prove that mixing on rank-one transformations is equivalent to "the uniform convergence of ergodic averages (as in the mean ergodic theorem) over subsequences of partial sums". In particular, all polynomial staircase transformations are mixing.},
author = {Darren Creutz, Cesar E. Silva},
journal = {Studia Mathematica},
language = {eng},
number = {1},
pages = {43-72},
title = {Mixing on rank-one transformations},
url = {http://eudml.org/doc/285459},
volume = {199},
year = {2010},
}

TY - JOUR
AU - Darren Creutz
AU - Cesar E. Silva
TI - Mixing on rank-one transformations
JO - Studia Mathematica
PY - 2010
VL - 199
IS - 1
SP - 43
EP - 72
AB - We prove that mixing on rank-one transformations is equivalent to "the uniform convergence of ergodic averages (as in the mean ergodic theorem) over subsequences of partial sums". In particular, all polynomial staircase transformations are mixing.
LA - eng
UR - http://eudml.org/doc/285459
ER -