Found 78 Documents (Results 1–78)
Symmetric function generalizations of the \(q\)-Baker-Forrester ex-conjecture and Selberg-type integrals. (English) Zbl 1540.05170
Jacobi beta ensemble and \(b\)-Hurwitz numbers. (English) Zbl 1532.15030
Reviewer: Sho Matsumoto (Kagoshima)
Characteristic polynomials of random truncations: moments, duality and asymptotics. (English) Zbl 1517.15026
\(K\)-invariant Hilbert modules and singular vector bundles on bounded symmetric domains. (English) Zbl 1534.32013
Reviewer: Jacques Faraut (Paris)
Electronic transport in three-terminal chaotic systems with a tunnel barrier. (English) Zbl 1514.82187
Cointegration in large VARs. (English) Zbl 1539.62265
Algebras of non-local screenings and diagonal Nichols algebras. (English) Zbl 1505.16041
Reviewer: Sonia Natale (Córdoba)
Semiclassical treatment of quantum chaotic transport with a tunnel barrier. (English) Zbl 1519.81212
AFLT-type Selberg integrals. (English) Zbl 1483.33007
Reviewer: Shintaro Yanagida (Nagoya)
Eigenvalues of \(K\)-invariant Toeplitz operators on bounded symmetric domains. (English) Zbl 1487.47051
Reviewer: David Békollè (Yaoundé)
Positive intertwiners for Bessel functions of type B. (English) Zbl 1470.33012
Reviewer: E. K. Narayanan (Bangalore)
Quantum groups and Nichols algebras acting on conformal field theories. (English) Zbl 1461.81058
Reviewer: Uwe Franz (Besançon)
On the eigenfunctions of hyperbolic quantum Calogero-Moser-Sutherland systems in a Morse potential. (English) Zbl 1441.81149
Some martingales associated with multivariate Jacobi processes and Aomoto’s Selberg integral. (English) Zbl 1445.60056
Singular vectors of the Ding-Iohara-Miki algebra. (English. Russian original) Zbl 1432.81044
Theor. Math. Phys. 199, No. 1, 475-500 (2019); translation from Teor. Mat. Fiz. 199, No. 1, 3-32 (2019).
Densities of the extreme eigenvalues of Beta-MANOVA matrices. (English) Zbl 1451.60016
Reviewer: Ravi Sreenivasan (Mysore)
Orbifolds and exact solutions of strongly-coupled matrix models. (English) Zbl 1398.81204
Reviewer: Akira Asada (Takarazuka)
Moments of the eigenvalue densities and of the secular coefficients of \(\beta\)-ensembles. (English) Zbl 1362.15027
Moments of the position of the maximum for GUE characteristic polynomials and for log-correlated Gaussian processes. (English) Zbl 1347.60059
Multivariate Jacobi polynomials and the Selberg integral. II. (English. Russian original) Zbl 1347.43004
J. Math. Sci., New York 215, No. 6, 755-768 (2016) and Zap. Nauchn. Semin. POMI 436, 199-218 (2015).
Reviewer: Valery V. Karachik (Chelyabinsk)
Gaussian fluctuations of Young diagrams and structure constants of Jack characters. (English) Zbl 1338.60017
\(\beta\)-deformed matrix models and 2d/4d correspondence. (English) Zbl 1334.81063
Teschner, Jörg (ed.), New dualities of supersymmetric gauge theories. Cham: Springer (ISBN 978-3-319-18768-6/hbk; 978-3-319-18769-3/ebook). Mathematical Physics Studies, 121-157 (2016).
MSC:
81T10
Selberg integrals, super-hypergeometric functions and applications to \(\beta\)-ensembles of random matrices. (English) Zbl 1328.15049
Reviewer: Andreas Arvanitoyeorgos (Patras)
Asymptotics for products of characteristic polynomials in classical \(\beta\)-ensembles. (English) Zbl 1311.15033
Reviewer: Francisco Marcellán (Leganes)
Eigenvalue distributions of beta-Wishart matrices. (English) Zbl 1306.15033
Reviewer: Costică Moroşanu (Iaşi)
Towards the proof of AGT relations with the help of the generalized Jack polynomials. (English) Zbl 1296.81113
Wronskian type determinants of orthogonal polynomials, Selberg type formulas and constant term identities. (English) Zbl 1292.33013
Reviewer: Francisco Marcellán (Leganes)
2d-4d connection between \(q\)-Virasoro/\(W\) block at root of unity limit and instanton partition function on ALE space. (English) Zbl 1284.81172
ADE subalgebras of the triplet vertex algebra \(\mathcal{W}(p)\): \(A\)-series. (English) Zbl 1306.17014
Reviewer: Ching Hung Lam (Taipei)
MSC:
17B69
Limit theorems for beta-Jacobi ensembles. (English) Zbl 1278.60013
Reviewer: Zakhar Kabluchko (Ulm)
Hilbert spaces of holomorphic functions on generalized Cartan-Hartogs domains. (English) Zbl 1264.32003
Reviewer: Zywomir Dinew (Kraków)
MSC:
32A25
32A07
Smallest eigenvalue distributions for two classes of {\(\beta\)}-Jacobi ensembles. (English) Zbl 1278.15009
Multivariate Jacobi polynomials and the Selberg integral. (English. Russian original) Zbl 1306.43006
Funct. Anal. Appl. 46, No. 4, 262-278 (2012); translation from Funkts. Anal. Prilozh. 46, No. 4, 31-50 (2012).
Reviewer: Vadim Gorin (Moskva)
Global fluctuations for linear statistics of \({\beta}\)-Jacobi ensembles. (English) Zbl 1268.60009
Reviewer: Carlos Gabriel Pacheco (México D. F.)
\(\epsilon\)-corrected Seiberg-Witten prepotential obtained from half-genus expansion in \(\beta \)-deformed matrix model. (English) Zbl 1247.81386
On combinatorial expansion of the conformal blocks arising from AGT conjecture. (English) Zbl 1242.81119
Asymptotics of Selberg-like integrals by lattice path counting. (English) Zbl 1217.82070
Reviewer: Claudia-Veronika Meister (Darmstadt)
Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory. (English) Zbl 1208.81177
Method of generating q-expansion coefficients for conformal block and \({\mathcal N}=2\) Nekrasov function by \(\beta \)-deformed matrix model. (English) Zbl 1206.81102
The \({\mathfrak{sl}}_3\) Selberg integral. (English) Zbl 1194.33014
Reviewer: P. K. Banerji (Jodhpur)
A Selberg integral for the Lie algebra \(A_n\). (English) Zbl 1243.33053
Reviewer: Valentina Golubeva (Moskva)
On a Selberg-Schur integral. (English) Zbl 1179.33030
The importance of the Selberg integral. (English) Zbl 1154.33002
Reviewer: R. B. Paris (Dundee)
On the evaluation of some Selberg-like integrals. (English) Zbl 1156.22008
Reviewer: Anton Deitmar (Tübingen)
On absolute moments of characteristic polynomials of a certain class of complex random matrices. (English) Zbl 1185.15033
Orthogonality of Jack polynomials in superspace. (English) Zbl 1123.05092
Reviewer: Vesselin Drensky (Sofia)
Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants. (English) Zbl 1158.81353
MSC:
81T45
57M27
A Dyson constant term orthogonality relation. (English) Zbl 0942.05004
Reviewer: L.A.Székely (Columbia/South Carolina)
Askey-Wilson polynomials by means of a \(q\)-Selberg type integral. (English) Zbl 0942.33011
Reviewer: Marcel G.de Bruin (Delft)
MSC:
33D45
Connection coefficients, matchings, maps and combinatorial conjectures for Jack symmetric functions. (English) Zbl 0858.05097
Reviewer: N.I.Osetinski (Moskva)
An integral for the product of two Selberg-Jack symmetric polynomials. (English) Zbl 0788.33007
Reviewer: R.Askey (Madison)
MSC:
33C70
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