3 citations · 4 across the 5 of their papers we have counts for
6 papers
Anderson localization for CMV matrices with Verblunsky coefficients defined by the hyperbolic toral automorphism
Yanxue Lin, Shuzheng Guo, Daxiong Piao
In this paper, we prove the large deviation estimates and Anderson localization for CMV matrices on with Verblunsky coefficients defined dynamically by the h…
Anderson localization for the quasi-periodic CMV matrices with Verblunsky coefficients defined by the skew-shift
Yanxue Lin, Daxiong Piao, Shuzheng Guo
In this paper, we study quasi-periodic CMV matrices with Verblunsky coefficients given by the skew-shift. We prove the positivity of Lyapunov exponents and Anderson localization fo…
On Simon's Hausdorff Dimension Conjecture
David Damanik, Jake Fillman, Shuzheng Guo +1
Barry Simon conjectured in 2005 that the Szegő matrices, associated with Verblunsky coefficients obeying for…
Simon's OPUC Hausdorff Dimension Conjecture
David Damanik, Shuzheng Guo, Darren C. Ong
We show that the Szegő matrices, associated with Verblunsky coefficients obeying for some , are b…
Subordinacy Theory for Extended CMV Matrices
Shuzheng Guo, David Damanik, Darren C. Ong
We develop subordinacy theory for extended CMV matrices. That is, we provide explicit supports for the singular and absolutely continuous parts of the canonical spectral measure as…
Generic Spectral Results for CMV Matrices with Dynamically Defined Verblunsky Coefficients
Licheng Fang, David Damanik, Shuzheng Guo
We consider CMV matrices with dynamically defined Verblunsky coefficients. These coefficients are obtained by continuous sampling along the orbits of an ergodic transformation. We…