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 $\{{\alpha }_n{\}}_{n\in {\mathbb{Z}}_{+}}$ obeying ${\sum }_{n=0}^{\infty }{n}^{\gamma }|{\alpha }_n{|}^2<\infty$ for…