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9781470473969 Academic Inspection Copy

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

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
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
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