Weakly mixing rank-one transformations conjugate to their squares

Alexandre I. Danilenko. "Weakly mixing rank-one transformations conjugate to their squares." Studia Mathematica 187.1 (2008): 75-93. <http://eudml.org/doc/285124>.

@article{AlexandreI2008,
abstract = {Utilizing the cut-and-stack techniques we construct explicitly a weakly mixing rigid rank-one transformation T which is conjugate to T². Moreover, it is proved that for each odd q, there is such a T commuting with a transformation of order q. For any n, we show the existence of a weakly mixing T conjugate to T² and whose rank is finite and greater than n.},
author = {Alexandre I. Danilenko},
journal = {Studia Mathematica},
keywords = {; F); rank-one transformation},
language = {eng},
number = {1},
pages = {75-93},
title = {Weakly mixing rank-one transformations conjugate to their squares},
url = {http://eudml.org/doc/285124},
volume = {187},
year = {2008},
}

TY - JOUR
AU - Alexandre I. Danilenko
TI - Weakly mixing rank-one transformations conjugate to their squares
JO - Studia Mathematica
PY - 2008
VL - 187
IS - 1
SP - 75
EP - 93
AB - Utilizing the cut-and-stack techniques we construct explicitly a weakly mixing rigid rank-one transformation T which is conjugate to T². Moreover, it is proved that for each odd q, there is such a T commuting with a transformation of order q. For any n, we show the existence of a weakly mixing T conjugate to T² and whose rank is finite and greater than n.
LA - eng
KW - ; F); rank-one transformation
UR - http://eudml.org/doc/285124
ER -