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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).