Asymptotics of Hankel Determinants with a Multi-cut Regular Potential and Fisher-Hartwig Singularities

Christophe Charlier, Lund University, Sweden. Benjamin Fahs, KTH Royal Institute of Technology, Lindstedtsvagen, Sweden. Christian Webb, University of Helsinki, Finland. Mo Dick Wong, Durham University, United Kingdom

• Chapters;1. Introduction; 2. Preliminaries; 3. Lie Groups and Coadjoint Orbits; 4. Dimension of Generic Coadjoint Orbits; 5. Action-Angle Variables;6. Correspondence between $\mathcal {T}_{*}^{(k,k^{\prime })}$ and Extended Algebro-Geometric Data;7. Solving the Equation via Factorization Problems; A. The Periodic Toda Lattice