TY - JOUR
T1 - Continuous Spectrum for a Class of Smooth Mixing CMV Matrices
AU - Peng , Yaxin
JO - Communications in Mathematical Research 
VL - 1
SP - 25
EP - 29
PY - 2025
DA - 2025/03
SN - 41
DO - http://doi.org/10.4208/cmr.2024-0022
UR - https://global-sci.org/intro/article_detail/cmr/23928.html
KW - CMV matrix, continuous spectrum, Gordon lemma, super-recurrent.
AB - <p style="text-align: justify;">This note proves that the extended CMV matrices with Verblunsky
coefficient that is generated by a smooth volume preserving mixing dynamical
system and a Hölder sampling function have almost surely continuous spectrum.</p>