TY - JOUR
T1 - Rigidity times for a weakly mixing dynamical system which are not rigidity times for any irrational rotation
AU - Fayad, Bassam
AU - Kanigowski, Adam
N1 - Publisher Copyright:
© Cambridge University Press, 2014.
PY - 2015/8/4
Y1 - 2015/8/4
N2 - We construct an increasing sequence of natural numbers with the property that is dense in for any , and a continuous measure on the circle such that . Moreover, for every fixed , the set is infinite. This is a sufficient condition for the existence of a rigid, weakly mixing dynamical system whose rigidity time is not a rigidity time for any system with a discrete part in its spectrum.
AB - We construct an increasing sequence of natural numbers with the property that is dense in for any , and a continuous measure on the circle such that . Moreover, for every fixed , the set is infinite. This is a sufficient condition for the existence of a rigid, weakly mixing dynamical system whose rigidity time is not a rigidity time for any system with a discrete part in its spectrum.
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U2 - 10.1017/etds.2014.40
DO - 10.1017/etds.2014.40
M3 - Article
AN - SCOPUS:84949317275
SN - 0143-3857
VL - 35
SP - 2529
EP - 2534
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
IS - 8
ER -