Found 208 Documents (Results 1–100)
A reflection formula for the Gaussian hypergeometric function of matrix argument. (English) Zbl 07852442
Reviewer: Showkat Ahmad (Sopore)
Hankel transform, \(\mathcal{K}\)-Bessel functions and zeta distributions in the Dunkl setting. (English) Zbl 1540.33015
Reviewer: Oğuz Yağcı (Kırıkkale)
New orthogonality relations for super-Jack polynomials and an associated Lassalle-Nekrasov correspondence. (English) Zbl 1535.33011
Reviewer: Dmitry Artamonov (Moskva)
Jacobi beta ensemble and \(b\)-Hurwitz numbers. (English) Zbl 1532.15030
Reviewer: Sho Matsumoto (Kagoshima)
Spectral theory of the Nazarov-Sklyanin Lax operator. (English) Zbl 1530.05190
Reviewer: Milica Andelić (Kuwait City)
A superpolynomial version of nonsymmetric Jack polynomials. (English) Zbl 1518.33008
Reviewer: Francisco Marcellán (Leganes)
On the multiplication of spherical functions of reductive spherical pairs of type A. (English) Zbl 1516.14095
Reviewer: Alessandro Ruzzi (Montreuil)
Integrality in the matching-Jack conjecture and the Farahat-Higman algebra. (English) Zbl 1515.05184
Generating series of non-oriented constellations and marginal sums in the Matching-Jack conjecture. (English) Zbl 1504.05293
Non-orientable branched coverings, \(b\)-Hurwitz numbers, and positivity for multiparametric Jack expansions. (English) Zbl 1498.05278
Explicit formulas for eigenvalues of Capelli operators for the Lie superalgebra \(\mathfrak{osp}(1|2n)\). (English) Zbl 1508.17013
Reviewer: Mee Seong Im (Annapolis)
Connections between vector-valued and highest weight Jack and Macdonald polynomials. (English) Zbl 1517.33007
Algorithm for the product of Jack polynomials and its application to the sphericity test. (English) Zbl 1487.62051
Joint moments of a characteristic polynomial and its derivative for the circular \(\beta \)-ensemble. (English) Zbl 1489.60007
MSC:
60B20
Free field realizations of the Virasoro primary fields of the extended W-algebras of type \(A_1\) at positive rational levels. (English) Zbl 1507.81165
AFLT-type Selberg integrals. (English) Zbl 1483.33007
Reviewer: Shintaro Yanagida (Nagoya)
Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation. (English) Zbl 1445.37043
On Jack’s lemma. (English) Zbl 1429.30007
Orthogonality of super-Jack Polynomials and a Hilbert space interpretation of deformed Calogero-Moser-Sutherland operators. (English) Zbl 1429.33021
Reviewer: Nicolae Cotfas (Bucureşti)
Macdonald cumulants, \(G\)-inversion polynomials and \(G\)-parking functions. (English) Zbl 1400.05266
Nonsymmetric Macdonald polynomials and a refinement of Kostka-Foulkes polynomials. (English) Zbl 1404.33017
Reviewer: Lalit Mohan Upadhyaya (Mussoorie)
Intertwinings of beta-Dyson Brownian motions of different dimensions. (English. French summary) Zbl 1391.60145
A linear system of differential equations related to vector-valued Jack polynomials on the torus. (English) Zbl 1366.33008
Moments of the eigenvalue densities and of the secular coefficients of \(\beta\)-ensembles. (English) Zbl 1362.15027
Shifted symmetric functions and multirectangular coordinates of Young diagrams. (English) Zbl 1362.05125
Limits for circular Jacobi beta-ensembles. (English) Zbl 1364.60016
Reviewer: Olivier Marchal (Saint-Etienne)
Combinatorial representation theory of Lie algebras. Richard Stanley’s work and the way it was continued. (English) Zbl 1364.05088
Hersh, Patricia (ed.) et al., The mathematical legacy of Richard P. Stanley. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2724-5/hbk; 978-1-4704-3477-9/ebook). 263-277 (2016).
A product formula for certain Littlewood-Richardson coefficients for Jack and Macdonald polynomials. (English) Zbl 1352.05186
The Capelli problem for \(\mathfrak{gl}(m|n)\) and the spectrum of invariant differential operators. (English) Zbl 1347.17005
Moments of the position of the maximum for GUE characteristic polynomials and for log-correlated Gaussian processes. (English) Zbl 1347.60059
Gaussian fluctuations of Young diagrams and structure constants of Jack characters. (English) Zbl 1338.60017
Selberg integrals, super-hypergeometric functions and applications to \(\beta\)-ensembles of random matrices. (English) Zbl 1328.15049
Reviewer: Andreas Arvanitoyeorgos (Patras)
Relations among two methods for computing the partition function of the two-dimensional one-component plasma. (English) Zbl 1327.82084
Mixing time of Metropolis chain based on random transposition walk converging to multivariate Ewens distribution. (English) Zbl 1330.60089
Asymptotics for products of characteristic polynomials in classical \(\beta\)-ensembles. (English) Zbl 1311.15033
Reviewer: Francisco Marcellán (Leganes)
Integral properties of zonal spherical functions, hypergeometric functions and invariant polynomials. (English) Zbl 1298.62084
Towards the proof of AGT relations with the help of the generalized Jack polynomials. (English) Zbl 1296.81113
Vertex operator realization of Jack symmetric functions. (English) Zbl 1298.05317
Bai, Chengming (ed.) et al., Symmetries and groups in contemporary physics. Proceedings of the XXIX international colloquium on group-theoretical methods in physics, Tianjin, China, August 20–26, 2012. Hackensack, NJ: World Scientific (ISBN 978-981-4518-54-3/hbk; 978-981-4518-56-7/ebook). Nankai Series in Pure, Applied Mathematics and Theoretical Physics 11, 607-610 (2013).
Meixner matrix ensembles. (English) Zbl 1296.60005
MSC:
60B20
On Kerov polynomials for Jack characters. (English) Zbl 1294.05171
Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24–28, 2013. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 539-550, electronic only (2013).
Probability densities and distributions for spiked and general variance Wishart \(\beta\)-ensembles. (English) Zbl 1281.15042
Skew orthogonal polynomials for the real and quaternion real Ginibre ensembles and generalizations. (English) Zbl 1279.15028
Reviewer: Carlos Gabriel Pacheco (México D. F.)
Expanded Vandermonde powers and sum rules for the two-dimensional one-component plasma. (English) Zbl 1259.82113
Reviewer: Claudia-Veronika Meister (Darmstadt)
MSC:
82D10
Asympotics of spherical functions for large rank: an introduction. (English) Zbl 1267.43006
Krötz, Bernhard (ed.) et al., Representation theory, complex analysis, and integral geometry. Outgrowth of the special term “Harmonic analysis, representation theory, and integral geometry” held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn, Germany during the summer of 2007. Basel: Birkhäuser (ISBN 978-0-8176-4816-9/hbk; 978-0-8176-4817-6/ebook). 251-275 (2012).
Reviewer: Tom ter Elst (Auckland)
The largest eigenvalue of real symmetric, Hermitian and Hermitian self-dual random matrix models with rank one external source. I. (English) Zbl 1246.15036
Reviewer: Chen Mu-Fa (Beijing)
Dual combinatorics of zonal polynomials. (English. French summary) Zbl 1355.05252
Proceedings of the 23rd international conference on formal power series and algebraic combinatorics, FPSAC 2011, Reykjavik, Iceland, June 13–17, 2011. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 317-328 (2011).
On duality and negative dimensions in the theory of Lie groups and symmetric spaces. (English) Zbl 1272.53045
Dirichlet distribution and orbital measures. (English) Zbl 1229.60008
Reviewer: Chrysoula G. Kokologiannaki (Patras)
Generalized Jack polynomials and the representation theory of rational Cherednik algebras. (English) Zbl 1230.05285
On vertex operator realizations of Jack functions. (English) Zbl 1221.17031
Reviewer: Ozren Perše (Zagreb)
Towards a combinatorial representation theory for the rational Cherednik algebra of type \(G(r,p,n)\). (English) Zbl 1227.05265
Dynamics of one-dimensional quantum systems. Inverse-square interaction models. (English) Zbl 1187.81108
Cambridge: Cambridge University Press (ISBN 978-0-521-81598-7/hbk; 978-0-511-59682-7/ebook). xii, 474 p. (2009).
Reviewer: Paninjukunnath Achuthan (Madras)
A normalization formula for the Jack polynomials in superspace and an identity on partitions. (English) Zbl 1189.05172
Reviewer: Vesselin Drensky (Sofia)
Multiplication of polynomials on Hermitian symmetric spaces and Littlewood-Richardson coefficients. (English) Zbl 1206.14071
Reviewer: Vladimir L. Popov (Moskva)
Transforms, polynomials and integrable models associated with reflection groups. (English) Zbl 1168.44301
Hilgert, Joachim (ed.) et al., Proceedings of the fourth German-Japanese symposium on infinite dimensional harmonic analysis IV. On the interplay between representation theory, random matrices, special functions, and probability, Tokyo, Japan, September 10–14, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-281-8/hbk). 47-62 (2009).
Reflection groups in analysis and applications. (English) Zbl 1191.33006
Reviewer: Valery V. Karachik (Chelyabinsk)
A positivity conjecture for Jack polynomials. (English) Zbl 1173.33311
Reviewer: Adem Kilicman (Serdang Selangor)
Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde. (English) Zbl 1168.33002
Reviewer: B. Döring (Düsseldorf)
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