On the Lagrangian Structure of the Discrete Isospectral and Isomonodromic Transformations

DOI10.1093/imrn/rnn102zbMath1159.39006arXiv0711.0570OpenAlexW3098675757MaRDI QIDQ3530033

Anton Dzhamay

Publication date: 15 October 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0570

zbMATH Keywords

integrabilitymatrix polynomialsRiemann spheredifference Painlevé equationrational matrix functionsdiscrete Euler-Lagrange equationsisomonodromic dynamicisospectral dynamicLagrangian dynamicSakai's hierarchy

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Discrete version of topics in analysis (39A12)

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