Correction to: ``The dependence on the monodromy data of the isomonodromic tau function

DOI10.1007/s00220-020-03904-zzbMath1473.37087OpenAlexW3119569868MaRDI QIDQ2658944

Marco Bertola

Publication date: 25 March 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-020-03904-z

zbMATH Keywords

Riemann-Hilbert problemdeformationPainlevé II equationmonodromy mapisomonodromic tau functionMalgrange divisor

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (6)

On the tau function of the hypergeometric equation ⋮ Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus ⋮ Higgs fields, non-abelian Cauchy kernels and the Goldman symplectic structure ⋮ Extended Goldman symplectic structure in Fock-Goncharov coordinates ⋮ Tau-functions and monodromy symplectomorphisms ⋮ Stokes manifolds and cluster algebras

Cites Work

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• The dependence on the monodromy data of the isomonodromic tau function
• Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Monodromy dependence and connection formulae for isomonodromic tau functions
• Riemann-Hilbert approach to multi-time processes: the Airy and the Pearcey cases
• THE GAP PROBABILITIES OF THE TACNODE, PEARCEY AND AIRY POINT PROCESSES, THEIR MUTUAL RELATIONSHIP AND EVALUATION
• The Transition between the Gap Probabilities from the Pearcey to the Airy Process—a Riemann–Hilbert Approach
• Darboux Transformations and Random Point Processes: Fig. 1.
• Connection Problem for the Tau-Function of the Sine-Gordon Reduction of Painlevé-III Equation via the Riemann-Hilbert Approach

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