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5 papers · 1 filter
Relations between Potts and RSOS models on a torus
Jean-Francois Richard, Jesper Lykke Jacobsen
We study the relationship between Q-state Potts models and staggered RSOS models of the A\_{p-1} type on a torus, with sqrt(Q)=2 cos(pi / p). In general the partition functions of…
The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry
Bertrand Eynard
This preprint is the introduction of my habilitation thesis for Paris7 university. It is a sumary of a collection of works on the 2 matrix model. In an introduction, 3 different an…
The general 1D Schrödinger equation as an exactly solvable problem
André Voros
We review an exact WKB resolution method for the stationary 1D Schrödinger equation with a general polynomial potential. This contribution covers already published material: we sup…
A short note about Morozov's formula
Bertrand Eynard
The purpose of this short note, is to rewrite Morozov's formula for correlation functions over the unitary group, in a much simpler form, involving the computation of a single dete…
Relaxation Time of Quantized Toral Maps
A. Fannjiang, S. Nonnenmacher, L. Wolowski
We introduce the notion of the relaxation time for noisy quantum maps on the 2d-dimensional torus - a generalization of previously studied dissipation time. We show that relaxation…