Monotone Jacobi parameters and non-Szego weights

Yury Kreimer, Yoram Last, Barry Simon

We relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Typical of our results is that for $a_n\equiv 1$, $b_n=-C{n}^{-\beta }$ ($0<β< \frac23)…