
3. Double scaling limits for (e)merging singularities

Extension of recently obtained results on double scaling asymptotics in the context of (e)merging Fisher-Hartwig singularities for Toeplitz and Wiener-Hopf operators.
1. Problem 3.1.

(E)merging singularites at singular points: consider a symbol $f_t$, $t>0$, with a fixed Fisher-Hartwig singularity at $z=1$ such that, for $t\to 0$, additional singularites (e)merge at this point. What are the double-scaling asymptotics for the truncated Toeplitz determinants for such symbols?
• Problem 3.2.

Spectral density (clustering asyptotics) for non-selfadjoint Toeplitz operators and the study of related double scaling asymptotics.

Cite this as: AimPL: Fisher-Hartwig asymptotics and Szego expansions, available at http://aimpl.org/fhszego.