Tau functions and their applications

Examples -- KP flows and the Sato-Segal-Wilson Grassmannian -- The KP hierarchy and its standard reductions -- Infinite dimensional Grassmannians -- Fermionic representation of τ -functions and Baker functions -- Finite dimensional reductions of the infinite Grassmannian and their associated τ -func...

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Bibliographische Detailangaben
1. Verfasser: Harnad, John P. (VerfasserIn)
Weitere Verfasser: Balogh, Ferenc (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Cambridge, New York, NY Cambridge University Press 2021
Schriftenreihe:Cambridge monographs on mathematical physics
Schlagworte:
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Beschreibung
Zusammenfassung:Examples -- KP flows and the Sato-Segal-Wilson Grassmannian -- The KP hierarchy and its standard reductions -- Infinite dimensional Grassmannians -- Fermionic representation of τ -functions and Baker functions -- Finite dimensional reductions of the infinite Grassmannian and their associated τ -functions -- Other related integrable hierarchies -- Convolution symmetries -- Isomonodromic deformations -- Integrable integral operators and dual isomonodromic deformations -- Random matrix models I. Partition functions and correlators -- Random matrix models II. Level spacings -- Generating functions for characters, intersection indices and Brézin-Hikami matrix models -- Generating functions for weighted Hurwitz numbers : enumeration of branched coverings.
Beschreibung:Includes bibliographical references (page 494-509) and index
Beschreibung:xxvi, 521 Seiten
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ISBN:9781108492683
978-1-108-49268-3