Found 35 Documents (Results 1–35)
On the Fredholm determinant of the confluent hypergeometric kernel with discontinuities. (English) Zbl 1541.37072
Generating function of monodromy symplectomorphism for \(2 \times 2\) Fuchsian systems and its WKB expansion. (English) Zbl 1531.34082
The sixth Painlevé equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds. (English) Zbl 1523.34101
Reviewer: Tsvetana Stoyanova (Sofia)
Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus. (English) Zbl 1542.37053
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel. (English) Zbl 1530.30037
Zeros of the isomonodromic tau functions in constructive conformal mapping of polycircular arc domains: the \(n\)-vertex case. (English) Zbl 1499.81084
MSC:
81T40
Edge distribution of thinned real eigenvalues in the real Ginibre ensemble. (English) Zbl 1498.60025
On the tau function of the hypergeometric equation. (English) Zbl 1508.34119
Reviewer: Tsvetana Stoyanova (Sofia)
Circular quiver gauge theories, isomonodromic deformations and \(W_N\) fermions on the torus. (English) Zbl 1509.81561
Fredholm determinant representation of the homogeneous Painlevé II \(\tau\)-function. (English) Zbl 1486.34171
Reviewer: Pieter Roffelsen (Melbourne)
Correction to: “The dependence on the monodromy data of the isomonodromic tau function”. (English) Zbl 1473.37087
Schwarz-Christoffel accessory parameter for quadrilaterals via isomonodromy. (English) Zbl 1519.30001
Gap probability of the circular unitary ensemble with a Fisher-Hartwig singularity and the coupled Painlevé V system. (English) Zbl 1451.60019
On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation. (English) Zbl 1450.34066
Reviewer: Yousuke Ohyama (Tokushima)
Connection formulas for the \(\lambda\) generalized Ising correlation functions. (English) Zbl 1504.82011
MSC:
82B20
The \(\tau\)-function of the Ablowitz-Segur family of solutions to Painlevé II as a Widom constant. (English) Zbl 1431.34096
On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential. (English) Zbl 1447.60038
Tau functions as Widom constants. (English) Zbl 1417.37245
Reviewer: Ahmed Lesfari (El Jadida)
Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system. (English) Zbl 1464.60009
Reviewer: Oleg K. Zakusilo (Kyïv)
Short distance asymptotics for a generalized two-point scaling function in the two-dimensional Ising model. (English) Zbl 1407.82018
Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions. (English) Zbl 1414.34072
Reviewer: Shun Shimomura (Yokohama)
Irregular conformal blocks and connection formulae for Painlevé V functions. (English) Zbl 1404.33020
Reviewer: Lalit Mohan Upadhyaya (Mussoorie)
On the connection problem for Painlevé. I. (English) Zbl 1383.34104
Reviewer: Davide Masoero (Lisboa)
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