Painleve III: A Case Study in the Geometry of Meromorphic Connections
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Painleve III: A Case Study in the Geometry of Meromorphic Connections
Guest, Martin; Hertling, Claus
Springer International Publishing AG
10/2017
204
Mole
Inglês
9783319665252
15 a 20 dias
3343
Descrição não disponível.
1. Introduction.- 2.- The Riemann-Hilbert correspondence for P3D6 bundles.- 3. (Ir)Reducibility.- 4. Isomonodromic families.- 5. Useful formulae: three 2 x 2 matrices.- 6. P3D6-TEP bundles.- 7. P3D6-TEJPA bundles and moduli spaces of their monodromy tuples.- 8. Normal forms of P3D6-TEJPA bundles and their moduli spaces.- 9. Generalities on the Painleve? equations.- 10. Solutions of the Painleve? equation PIII (0, 0, 4, ?4).- 13. Comparison with the setting of Its, Novokshenov, and Niles.- 12. Asymptotics of all solutions near 0.- ...Bibliography. Index.
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Painleve III;movable poles;isomonodromic connections;Riemann-Hilbert map;monodromy data;TERP-structures;ordinary differential equations
1. Introduction.- 2.- The Riemann-Hilbert correspondence for P3D6 bundles.- 3. (Ir)Reducibility.- 4. Isomonodromic families.- 5. Useful formulae: three 2 x 2 matrices.- 6. P3D6-TEP bundles.- 7. P3D6-TEJPA bundles and moduli spaces of their monodromy tuples.- 8. Normal forms of P3D6-TEJPA bundles and their moduli spaces.- 9. Generalities on the Painleve? equations.- 10. Solutions of the Painleve? equation PIII (0, 0, 4, ?4).- 13. Comparison with the setting of Its, Novokshenov, and Niles.- 12. Asymptotics of all solutions near 0.- ...Bibliography. Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
