Integrable Fredholm operators and dual isomonodromic deformations

From MaRDI portal
Publication:1598136

DOI10.1007/s002200200614zbMath1008.34082arXivsolv-int/9706002OpenAlexW1983688054MaRDI QIDQ1598136

J. Harnad, Alexander R. Its

Publication date: 29 May 2002

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

Full work available at URL: https://arxiv.org/abs/solv-int/9706002



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (30)

On the Bilinear Equations for Fredholm Determinants Appearing in Random MatricesThe Malgrange form and Fredholm determinantsFredholm Determinant Evaluations of the Ising Model Diagonal Correlations and their λ GeneralizationNull octagon from Deift-Zhou steepest descentThe Fisher-Hartwig formula and entanglement entropyRiemann-Hilbert approach to multi-time processes: the Airy and the Pearcey casesNon-linear PDEs for gap probabilities in random matrices and KP theoryHard edge limit of the product of two strongly coupled random matricesIntegral operators, bispectrality and growth of Fourier algebrasHamiltonian structure of rational isomonodromic deformation systemsDiscrete gap probabilities and discrete Painlevé equations.Cauchy-Laguerre two-matrix model and the Meijer-\(G\) random point fieldNon-intersecting squared Bessel paths: Critical time and double scaling limitQuantum aspects of the integrability of the third Painlevé equation and a non-stationary time Schrödinger equation with the Morse potentialGap probabilities for the generalized Bessel process: a Riemann-Hilbert approachFredholm determinants and pole-free solutions to the noncommutative Painlevé II equationSchur function expansion for normal matrix model and associated discrete matrix modelsFermionic construction of tau functions and random processesCorrelation functions and momentum distribution of one-dimensional hard-core anyons in optical latticesWeighted Hurwitz numbers and topological recursionFredholm determinant and Nekrasov sum representations of isomonodromic tau functionsOn the scaling limit of a singular integral operatorFredholmness of Toeplitz operators and corona problemsPainlevé IV critical asymptotics for orthogonal polynomials in the complex planeThe Cauchy two-matrix model``Quantizations of the second Painlevé equation and the problem of the equivalence of its \(L-A\) pairsEntanglement entropy in quantum spin chains with finite range interactionτ-function of discrete isomonodromy transformations and probabilityWiener-Hopf factorization for a group of exponentials of nilpotent matricesRiemann-Hilbert approach to gap probabilities for the Bessel process




This page was built for publication: Integrable Fredholm operators and dual isomonodromic deformations