Hamiltonian structure of rational isomonodromic deformation systems (Q6138697)

scientific article; zbMATH DE number 7734589

Language	Label	Description	Also known as
English	Hamiltonian structure of rational isomonodromic deformation systems	scientific article; zbMATH DE number 7734589

Statements

instance of

scholarly article

0 references

title

Hamiltonian structure of rational isomonodromic deformation systems (English)

0 references

0 references

0 references

0 references

Journal of Mathematical Physics

0 references

publication date

5 September 2023

0 references

full work available at URL

https://arxiv.org/abs/2212.06880

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Dual moment maps into loop algebras

0 references

Darboux coordinates and Liouville-Arnold integration in loop algebras

0 references

Completely integrable systems, Euclidean Lie algebras, and curves

0 references

Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations

0 references

Partition functions for matrix models and isomonodromic tau functions

0 references

Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem

0 references

Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions

0 references

Isomonodromic deformation of resonant rational connections

0 references

Symplectic manifolds and isomonodromic deformations

0 references

Quasi-Hamiltonian geometry of meromorphic connections

0 references

Simply-laced isomonodromy systems

0 references

The Painlevé Handbook

0 references

Monodromy- and spectrum-preserving deformations. I

0 references

Q3218540

0 references

Isomonodromic deformations: confluence, reduction and quantisation

0 references

Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions

0 references

The logarithmic asymptotics of the sixth Painlevé equation

0 references

A review of the sixth Painlevé equation

0 references

Q4284352

0 references

Dual isomonodromic deformations and moment maps to loop algebras

0 references

On the Bilinear Equations for Fredholm Determinants Appearing in Random Matrices

0 references

Hamiltonian structure of rational isomonodromic deformation systems

0 references

Random matrices, random processes and integrable systems

0 references

Tau Functions and their Applications

0 references

Integrable Fredholm operators and dual isomonodromic deformations

0 references

<i>R</i>-matrix construction of electromagnetic models for the Painlevé transcendents

0 references

Q4270916

0 references

Geometrical aspects of Schlesinger's equation

0 references

On the geometry of isomonodromic deformations

0 references

On the asymptotic analysis of the Painleve equations via the isomonodromy method

0 references

Monodromy dependence and connection formulae for isomonodromic tau functions

0 references

The isomonodromic deformation method in the theory of Painlevé equations

0 references

On Some Hamiltonian Properties of the Isomonodromic Tau Functions

0 references

Isomonodromic tau-functions from Liouville conformal blocks

0 references

Q3999049

0 references

Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function

0 references

Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II

0 references

The Second Painlevé Equation in the Large‐parameter Limit I: Local Asymptotic Analysis

0 references

The Painlevé Connection Problem: An Asymptotic Approach. I

0 references

Algebraic solutions of the sixth Painlevé equation

0 references

The Hamiltonian structure of the second Painlevé hierarchy

0 references

Discrete symmetries of systems of isomonodromic deformations of second-order Fuchsian differential equations

0 references

Polynomial Hamiltonians associated with Painleve equations. I

0 references

Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)

0 references

Reduction of Hamiltonian systems, affine Lie algebras and Lax equations

0 references

Q4745022

0 references

What is a classical r-matrix?

0 references

Loop groups and equations of KdV type

0 references

Q3997735

0 references

Q4256154

0 references

Q3786746

0 references

The symplectic and twistor geometry of the general isomonodromic deformation problem

0 references

Duality for the general isomonodromy problem

0 references

Identifiers

zbMATH Open document ID

0 references

0 references

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6138697