Seminars: S. P. Suetin, Some formulas of relative asymptotics for the partition function in the multi-cut case

SEMINARS


Seminar on Complex Analysis (Gonchar Seminar) March 19, 2012 18:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)

Some formulas of relative asymptotics for the partition function in the multi-cut case S. P. Suetin Steklov Mathematical Institute, Russian Academy of Sciences
Abstract: In the case of a regular polynomial potential $Q(x)$ for its small perturbation of type $Q(x;t)=Q(x)+tx$, $t$ – a small parameter, we obtain some formulas of "relative asymptotics" for the corresponding partition function $Z_n(t)$ as $n\to\infty$ (see attached file). *Related articles:* Widom's formula for the leading coefficient of a polynomial which is orthonormal with respect to a varying weight A. V. Komlov, S. P. Suetin Uspekhi Mat. Nauk, 2012, 67:1(403), 183–184