Aprile, Francesco; Heslop, Paul Superconformal blocks in diverse dimensions and BC symmetric functions. (English) Zbl 07727587 Commun. Math. Phys. 402, No. 2, 995-1101 (2023). MSC: 81T60 81T40 62H20 05E05 17B22 53C18 33C45 03C45 83C80 PDFBibTeX XMLCite \textit{F. Aprile} and \textit{P. Heslop}, Commun. Math. Phys. 402, No. 2, 995--1101 (2023; Zbl 07727587) Full Text: DOI arXiv
Grava, Tamara; Mazzuca, Guido Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation. (English) Zbl 1521.37088 Commun. Math. Phys. 399, No. 3, 1689-1729 (2023). MSC: 37K60 39A36 33C47 15B52 60B20 PDFBibTeX XMLCite \textit{T. Grava} and \textit{G. Mazzuca}, Commun. Math. Phys. 399, No. 3, 1689--1729 (2023; Zbl 1521.37088) Full Text: DOI arXiv
van Diejen, J. F. Genus zero \(\widehat{\mathfrak{su}}(n)_m\) Wess-Zumino-Witten fusion rules via Macdonald polynomials. (English) Zbl 1519.81457 Commun. Math. Phys. 397, No. 3, 967-994 (2023). MSC: 81T40 05E05 05E10 18M20 20G43 33D52 62F10 PDFBibTeX XMLCite \textit{J. F. van Diejen}, Commun. Math. Phys. 397, No. 3, 967--994 (2023; Zbl 1519.81457) Full Text: DOI
Lamers, Jules; Pasquier, Vincent; Serban, Didina Spin-Ruijsenaars, \(q\)-deformed Haldane-Shastry and Macdonald polynomials. (English) Zbl 1519.82028 Commun. Math. Phys. 393, No. 1, 61-150 (2022). MSC: 82B23 20C08 20G42 33D52 81R50 PDFBibTeX XMLCite \textit{J. Lamers} et al., Commun. Math. Phys. 393, No. 1, 61--150 (2022; Zbl 1519.82028) Full Text: DOI arXiv
van Diejen, Jan Felipe; Görbe, Tamás Eigenfunctions of a discrete elliptic integrable particle model with hyperoctahedral symmetry. (English) Zbl 1496.37061 Commun. Math. Phys. 392, No. 1, 279-305 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 37J35 37J38 39A70 81Q80 81U15 33C47 PDFBibTeX XMLCite \textit{J. F. van Diejen} and \textit{T. Görbe}, Commun. Math. Phys. 392, No. 1, 279--305 (2022; Zbl 1496.37061) Full Text: DOI arXiv
Langmann, Edwin; Noumi, Masatoshi; Shiraishi, Junichi Construction of eigenfunctions for the elliptic Ruijsenaars difference operators. (English) Zbl 1495.81062 Commun. Math. Phys. 391, No. 3, 901-950 (2022). MSC: 81R12 33D52 81Q10 39A70 81V70 PDFBibTeX XMLCite \textit{E. Langmann} et al., Commun. Math. Phys. 391, No. 3, 901--950 (2022; Zbl 1495.81062) Full Text: DOI arXiv
Akemann, Gernot; Ebke, Markus; Parra, Iván Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels. (English) Zbl 1503.33008 Commun. Math. Phys. 389, No. 1, 621-659 (2022). MSC: 33C45 30C40 60B20 60G55 PDFBibTeX XMLCite \textit{G. Akemann} et al., Commun. Math. Phys. 389, No. 1, 621--659 (2022; Zbl 1503.33008) Full Text: DOI arXiv
Albion, Seamus P.; Rains, Eric M.; Warnaar, S. Ole AFLT-type Selberg integrals. (English) Zbl 1483.33007 Commun. Math. Phys. 388, No. 2, 735-791 (2021). Reviewer: Shintaro Yanagida (Nagoya) MSC: 33C70 05E05 33D05 33D52 81T13 81T40 81T60 PDFBibTeX XMLCite \textit{S. P. Albion} et al., Commun. Math. Phys. 388, No. 2, 735--791 (2021; Zbl 1483.33007) Full Text: DOI arXiv Link
Atai, Farrokh; Hallnäs, Martin; Langmann, Edwin Super-Macdonald polynomials: orthogonality and Hilbert space interpretation. (English) Zbl 1481.33014 Commun. Math. Phys. 388, No. 1, 435-468 (2021). Reviewer: Shintaro Yanagida (Nagoya) MSC: 33D52 33D45 81R12 PDFBibTeX XMLCite \textit{F. Atai} et al., Commun. Math. Phys. 388, No. 1, 435--468 (2021; Zbl 1481.33014) Full Text: DOI arXiv
Kwon, Jae-Hoon; Okado, Masato Higher level \(q\)-oscillator representations for \(U_q(C_n^{(1)})\), \(U_q(C^{(2)}(n+1))\) and \(U_q(B^{(1)}(0,n))\). (English) Zbl 1467.81044 Commun. Math. Phys. 385, No. 2, 1041-1082 (2021). MSC: 81Q10 81R50 17B37 17B67 42C05 PDFBibTeX XMLCite \textit{J.-H. Kwon} and \textit{M. Okado}, Commun. Math. Phys. 385, No. 2, 1041--1082 (2021; Zbl 1467.81044) Full Text: DOI arXiv
Olshanski, Grigori Macdonald-level extension of beta ensembles and large-\(N\) limit transition. (English) Zbl 1469.82023 Commun. Math. Phys. 385, No. 1, 595-631 (2021). MSC: 82C22 15B52 33C47 60B20 60G55 PDFBibTeX XMLCite \textit{G. Olshanski}, Commun. Math. Phys. 385, No. 1, 595--631 (2021; Zbl 1469.82023) Full Text: DOI arXiv
Garbali, Alexandr; de Gier, Jan The \(R\)-matrix of the quantum toroidal algebra \(U_{q,t}(\overset{..}{gl}_1)\) in the Fock module. (English) Zbl 1476.17006 Commun. Math. Phys. 384, No. 3, 1971-2008 (2021). Reviewer: Stepan Moskaliuk (Kyiv) MSC: 17B37 16T20 33D52 81R12 PDFBibTeX XMLCite \textit{A. Garbali} and \textit{J. de Gier}, Commun. Math. Phys. 384, No. 3, 1971--2008 (2021; Zbl 1476.17006) Full Text: DOI arXiv
Webb, Marcus; Olver, Sheehan Spectra of Jacobi operators via connection coefficient matrices. (English) Zbl 1518.47055 Commun. Math. Phys. 382, No. 2, 657-707 (2021). Reviewer: Adhemar Bultheel (Leuven) MSC: 47B36 47B35 47N40 46N40 65N12 65D05 PDFBibTeX XMLCite \textit{M. Webb} and \textit{S. Olver}, Commun. Math. Phys. 382, No. 2, 657--707 (2021; Zbl 1518.47055) Full Text: DOI arXiv
Koroteev, Peter A-type quiver varieties and ADHM moduli spaces. (English) Zbl 1456.14017 Commun. Math. Phys. 381, No. 1, 175-207 (2021). Reviewer: Shintaro Yanagida (Nagoya) MSC: 14D21 14N35 81T30 33D52 PDFBibTeX XMLCite \textit{P. Koroteev}, Commun. Math. Phys. 381, No. 1, 175--207 (2021; Zbl 1456.14017) Full Text: DOI arXiv
Fukuda, Masayuki; Ohkubo, Yusuke; Shiraishi, Jun’ichi Generalized Macdonald functions on Fock tensor spaces and duality formula for changing preferred direction. (English) Zbl 1458.81035 Commun. Math. Phys. 380, No. 1, 1-70 (2020). MSC: 81T13 81T60 33D52 30H20 17B69 PDFBibTeX XMLCite \textit{M. Fukuda} et al., Commun. Math. Phys. 380, No. 1, 1--70 (2020; Zbl 1458.81035) Full Text: DOI arXiv
Charlier, Christophe; Duits, M.; Kuijlaars, A. B. J.; Lenells, J. A periodic hexagon tiling model and non-Hermitian orthogonal polynomials. (English) Zbl 1446.52017 Commun. Math. Phys. 378, No. 1, 401-466 (2020). MSC: 52C20 05B45 42C05 15B52 PDFBibTeX XMLCite \textit{C. Charlier} et al., Commun. Math. Phys. 378, No. 1, 401--466 (2020; Zbl 1446.52017) Full Text: DOI arXiv
Atai, Farrokh Source identities and kernel functions for the deformed Koornwinder-van Diejen models. (English) Zbl 1444.81039 Commun. Math. Phys. 377, No. 3, 2191-2216 (2020). MSC: 81V70 81Q05 33D52 81R20 05E05 33C45 35P05 14D15 PDFBibTeX XMLCite \textit{F. Atai}, Commun. Math. Phys. 377, No. 3, 2191--2216 (2020; Zbl 1444.81039) Full Text: DOI arXiv
Zhan, Dapeng Two-curve Green’s function for 2-SLE: the interior case. (English) Zbl 1436.82011 Commun. Math. Phys. 375, No. 1, 1-40 (2020). MSC: 82B20 82B27 60J67 33C45 PDFBibTeX XMLCite \textit{D. Zhan}, Commun. Math. Phys. 375, No. 1, 1--40 (2020; Zbl 1436.82011) Full Text: DOI arXiv
Dragović, Vladimir; Radnović, Milena Periodic ellipsoidal billiard trajectories and extremal polynomials. (English) Zbl 1432.37056 Commun. Math. Phys. 372, No. 1, 183-211 (2019). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 37C83 37C27 33C47 PDFBibTeX XMLCite \textit{V. Dragović} and \textit{M. Radnović}, Commun. Math. Phys. 372, No. 1, 183--211 (2019; Zbl 1432.37056) Full Text: DOI arXiv
Katori, Makoto Two-dimensional elliptic determinantal point processes and related systems. (English) Zbl 1442.60054 Commun. Math. Phys. 371, No. 3, 1283-1321 (2019). MSC: 60G55 33C52 60B20 PDFBibTeX XMLCite \textit{M. Katori}, Commun. Math. Phys. 371, No. 3, 1283--1321 (2019; Zbl 1442.60054) Full Text: DOI arXiv
Cunden, Fabio Deelan; Mezzadri, Francesco; O’Connell, Neil; Simm, Nick Moments of random matrices and hypergeometric orthogonal polynomials. (English) Zbl 1427.60012 Commun. Math. Phys. 369, No. 3, 1091-1145 (2019). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 60B20 15B52 33C45 42C05 PDFBibTeX XMLCite \textit{F. D. Cunden} et al., Commun. Math. Phys. 369, No. 3, 1091--1145 (2019; Zbl 1427.60012) Full Text: DOI arXiv
Chang, Xiang-Ke; He, Yi; Hu, Xing-Biao; Li, Shi-Hao Partial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions. (English) Zbl 1414.82007 Commun. Math. Phys. 364, No. 3, 1069-1119 (2018). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 42C05 37K60 PDFBibTeX XMLCite \textit{X.-K. Chang} et al., Commun. Math. Phys. 364, No. 3, 1069--1119 (2018; Zbl 1414.82007) Full Text: DOI arXiv
Grünbaum, F. Alberto; Vinet, Luc; Zhedanov, Alexei Algebraic Heun operator and band-time limiting. (English) Zbl 1405.33025 Commun. Math. Phys. 364, No. 3, 1041-1068 (2018). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33D45 33D99 39B42 PDFBibTeX XMLCite \textit{F. A. Grünbaum} et al., Commun. Math. Phys. 364, No. 3, 1041--1068 (2018; Zbl 1405.33025) Full Text: DOI arXiv
Córdova, Clay; Heidenreich, Ben; Popolitov, Alexandr; Shakirov, Shamil Orbifolds and exact solutions of strongly-coupled matrix models. (English) Zbl 1398.81204 Commun. Math. Phys. 361, No. 3, 1235-1274 (2018). Reviewer: Akira Asada (Takarazuka) MSC: 81T40 55N32 33C45 81R05 81R12 PDFBibTeX XMLCite \textit{C. Córdova} et al., Commun. Math. Phys. 361, No. 3, 1235--1274 (2018; Zbl 1398.81204) Full Text: DOI arXiv
Last, Yoram; Lukic, Milivoje \(\ell^2\) bounded variation and absolutely continuous spectrum of Jacobi matrices. (English) Zbl 1470.47026 Commun. Math. Phys. 359, No. 1, 101-119 (2018). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B36 42C05 PDFBibTeX XMLCite \textit{Y. Last} and \textit{M. Lukic}, Commun. Math. Phys. 359, No. 1, 101--119 (2018; Zbl 1470.47026) Full Text: DOI arXiv
Lee, Seung-Yeop; Yang, Meng Discontinuity in the asymptotic behavior of planar orthogonal polynomials under a perturbation of the Gaussian weight. (English) Zbl 1379.33017 Commun. Math. Phys. 355, No. 1, 303-338 (2017). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 34E10 PDFBibTeX XMLCite \textit{S.-Y. Lee} and \textit{M. Yang}, Commun. Math. Phys. 355, No. 1, 303--338 (2017; Zbl 1379.33017) Full Text: DOI arXiv
Borodin, Alexei; Olshanski, Grigori The ASEP and determinantal point processes. (English) Zbl 1369.60031 Commun. Math. Phys. 353, No. 2, 853-903 (2017). MSC: 60G55 60K35 33C45 42C05 PDFBibTeX XMLCite \textit{A. Borodin} and \textit{G. Olshanski}, Commun. Math. Phys. 353, No. 2, 853--903 (2017; Zbl 1369.60031) Full Text: DOI arXiv
Sun, Yi Traces of intertwiners for quantum affine \(\mathfrak{sl}_2\) and Felder-Varchenko functions. (English) Zbl 1393.17028 Commun. Math. Phys. 347, No. 2, 573-653 (2016). MSC: 17B37 17B67 33C52 PDFBibTeX XMLCite \textit{Y. Sun}, Commun. Math. Phys. 347, No. 2, 573--653 (2016; Zbl 1393.17028) Full Text: DOI arXiv
Bogatskiy, A.; Claeys, T.; Its, A. Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge. (English) Zbl 1371.33034 Commun. Math. Phys. 347, No. 1, 127-162 (2016). Reviewer: Edmundo J. Huertas (Madrid) MSC: 33E17 33C47 34M55 47B35 60B20 PDFBibTeX XMLCite \textit{A. Bogatskiy} et al., Commun. Math. Phys. 347, No. 1, 127--162 (2016; Zbl 1371.33034) Full Text: DOI arXiv
Breuer, Jonathan; Duits, Maurice Universality of mesoscopic fluctuations for orthogonal polynomial ensembles. (English) Zbl 1360.42014 Commun. Math. Phys. 342, No. 2, 491-531 (2016). MSC: 42C05 60B20 PDFBibTeX XMLCite \textit{J. Breuer} and \textit{M. Duits}, Commun. Math. Phys. 342, No. 2, 491--531 (2016; Zbl 1360.42014) Full Text: DOI arXiv
Huang, Hau-Wen Finite-dimensional irreducible modules of the universal Askey-Wilson algebra. (English) Zbl 1331.33036 Commun. Math. Phys. 340, No. 3, 959-984 (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33D45 06F25 13E15 17B37 20G42 PDFBibTeX XMLCite \textit{H.-W. Huang}, Commun. Math. Phys. 340, No. 3, 959--984 (2015; Zbl 1331.33036) Full Text: DOI arXiv
van Diejen, J. F.; Emsiz, E. Integrable boundary interactions for Ruijsenaars’ difference Toda chain. (English) Zbl 1361.37058 Commun. Math. Phys. 337, No. 1, 171-189 (2015). MSC: 37J35 33D52 70H40 PDFBibTeX XMLCite \textit{J. F. van Diejen} and \textit{E. Emsiz}, Commun. Math. Phys. 337, No. 1, 171--189 (2015; Zbl 1361.37058) Full Text: DOI arXiv
Robert, Didier; Thomann, Laurent Random weighted Sobolev inequalities and application to quantum ergodicity. (English) Zbl 1341.60074 Commun. Math. Phys. 335, No. 3, 1181-1209 (2015). MSC: 60H30 46E35 46E39 33C45 81Q05 PDFBibTeX XMLCite \textit{D. Robert} and \textit{L. Thomann}, Commun. Math. Phys. 335, No. 3, 1181--1209 (2015; Zbl 1341.60074) Full Text: DOI arXiv
Martínez-Finkelshtein, A.; Orive, R.; Rakhmanov, E. A. Phase transitions and equilibrium measures in random matrix models. (English) Zbl 1317.82012 Commun. Math. Phys. 333, No. 3, 1109-1173 (2015). Reviewer: Julien Poisat (Paris) MSC: 82B26 60B20 15B52 33C45 31A15 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Commun. Math. Phys. 333, No. 3, 1109--1173 (2015; Zbl 1317.82012) Full Text: DOI arXiv
Zamaere, Christine Berkesch; Griffeth, Stephen; Sam, Steven V. Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal. (English) Zbl 1294.81387 Commun. Math. Phys. 330, No. 1, 415-434 (2014). MSC: 81V70 33D52 22E70 81R15 PDFBibTeX XMLCite \textit{C. B. Zamaere} et al., Commun. Math. Phys. 330, No. 1, 415--434 (2014; Zbl 1294.81387) Full Text: DOI arXiv
Fonseca, Tiago; Zinn-Justin, Paul Higher spin polynomial solutions of quantum Knizhnik-Zamolodchikov equation. (English) Zbl 1306.81054 Commun. Math. Phys. 328, No. 3, 1079-1115 (2014). Reviewer: Gastón Andrés García (La Plata) MSC: 81R10 17B67 33D52 PDFBibTeX XMLCite \textit{T. Fonseca} and \textit{P. Zinn-Justin}, Commun. Math. Phys. 328, No. 3, 1079--1115 (2014; Zbl 1306.81054) Full Text: DOI arXiv
Kozhan, Rostyslav Meromorphic continuations of finite gap Herglotz functions and periodic Jacobi matrices. (English) Zbl 1294.30091 Commun. Math. Phys. 327, No. 3, 921-950 (2014). MSC: 30F99 42C05 33C45 PDFBibTeX XMLCite \textit{R. Kozhan}, Commun. Math. Phys. 327, No. 3, 921--950 (2014; Zbl 1294.30091) Full Text: DOI arXiv
Berman, Robert J. Determinantal point processes and fermions on complex manifolds: large deviations and bosonization. (English) Zbl 1337.60093 Commun. Math. Phys. 327, No. 1, 1-47 (2014). Reviewer: Evgueni Spodarev (Ulm) MSC: 60G55 60F10 60G57 60B20 60K40 58Z05 81T99 PDFBibTeX XMLCite \textit{R. J. Berman}, Commun. Math. Phys. 327, No. 1, 1--47 (2014; Zbl 1337.60093) Full Text: DOI arXiv
Cafasso, Mattia; de la Iglesia, Manuel D. Non-commutative Painlevé equations and Hermite-type matrix orthogonal polynomials. (English) Zbl 1357.81108 Commun. Math. Phys. 326, No. 2, 559-583 (2014). MSC: 81R12 33C45 33E12 PDFBibTeX XMLCite \textit{M. Cafasso} and \textit{M. D. de la Iglesia}, Commun. Math. Phys. 326, No. 2, 559--583 (2014; Zbl 1357.81108) Full Text: DOI arXiv
Bertola, M.; Gekhtman, M.; Szmigielski, J. Cauchy-Laguerre two-matrix model and the Meijer-\(G\) random point field. (English) Zbl 1303.82018 Commun. Math. Phys. 326, No. 1, 111-144 (2014). MSC: 82B41 15B52 15A18 15A15 60B20 33C45 PDFBibTeX XMLCite \textit{M. Bertola} et al., Commun. Math. Phys. 326, No. 1, 111--144 (2014; Zbl 1303.82018) Full Text: DOI arXiv
Nazarov, M. L.; Sklyanin, E. K. Sekiguchi-Debiard operators at infinity. (English) Zbl 1408.81016 Commun. Math. Phys. 324, No. 3, 831-849 (2013). MSC: 81R15 33C20 33C52 05E05 37K10 81V70 PDFBibTeX XMLCite \textit{M. L. Nazarov} and \textit{E. K. Sklyanin}, Commun. Math. Phys. 324, No. 3, 831--849 (2013; Zbl 1408.81016) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F. Non-intersecting squared Bessel paths: Critical time and double scaling limit. (English) Zbl 1245.60044 Commun. Math. Phys. 308, No. 1, 227-279 (2011). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60G17 60B20 60G55 42C05 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., Commun. Math. Phys. 308, No. 1, 227--279 (2011; Zbl 1245.60044) Full Text: DOI arXiv
Lukic, Milivoje Orthogonal polynomials with recursion coefficients of generalized bounded variation. (English) Zbl 1237.42017 Commun. Math. Phys. 306, No. 2, 485-509 (2011). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 42C05 35J10 PDFBibTeX XMLCite \textit{M. Lukic}, Commun. Math. Phys. 306, No. 2, 485--509 (2011; Zbl 1237.42017) Full Text: DOI arXiv
Bożejko, Marek; Lytvynov, Eugene Meixner class of non-commutative generalized stochastic processes with freely independent values. II: The generating function. (English) Zbl 1218.46038 Commun. Math. Phys. 302, No. 2, 425-451 (2011). MSC: 46L53 46L54 81S25 PDFBibTeX XMLCite \textit{M. Bożejko} and \textit{E. Lytvynov}, Commun. Math. Phys. 302, No. 2, 425--451 (2011; Zbl 1218.46038) Full Text: DOI arXiv
Martínez-Finkelshtein, A.; Rakhmanov, E. A. Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials. (English) Zbl 1226.30005 Commun. Math. Phys. 302, No. 1, 53-111 (2011). Reviewer: Andrei A. Kapaev (Trieste) MSC: 30C15 30F30 31A15 42C05 34M03 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{E. A. Rakhmanov}, Commun. Math. Phys. 302, No. 1, 53--111 (2011; Zbl 1226.30005) Full Text: DOI arXiv
Maltsev, Anna Universality limits of a reproducing kernel for a half-line Schrödinger operator and clock behavior of eigenvalues. (English) Zbl 1200.35067 Commun. Math. Phys. 298, No. 2, 461-484 (2010). MSC: 35J10 81Q10 39A10 PDFBibTeX XMLCite \textit{A. Maltsev}, Commun. Math. Phys. 298, No. 2, 461--484 (2010; Zbl 1200.35067) Full Text: DOI arXiv Link
Mo, M. Y. Universality in the two matrix model with a monomial quartic and a general even polynomial potential. (English) Zbl 1179.81136 Commun. Math. Phys. 291, No. 3, 863-894 (2009). MSC: 81T30 81T10 60B20 42C05 PDFBibTeX XMLCite \textit{M. Y. Mo}, Commun. Math. Phys. 291, No. 3, 863--894 (2009; Zbl 1179.81136) Full Text: DOI arXiv
Adler, Mark; van Moerbeke, Pierre; Vanhaecke, Pol Moment matrices and multi-component KP, with applications to random matrix theory. (English) Zbl 1185.42026 Commun. Math. Phys. 286, No. 1, 1-38 (2009). Reviewer: Ferenc Weisz (Budapest) MSC: 42C05 82B41 82B44 PDFBibTeX XMLCite \textit{M. Adler} et al., Commun. Math. Phys. 286, No. 1, 1--38 (2009; Zbl 1185.42026) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F. Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights. (English) Zbl 1188.60018 Commun. Math. Phys. 286, No. 1, 217-275 (2009). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60G17 60G99 42C05 60J35 82B41 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., Commun. Math. Phys. 286, No. 1, 217--275 (2009; Zbl 1188.60018) Full Text: DOI arXiv
Miña-Díaz, Erwin An expansion for polynomials orthogonal over an analytic Jordan curve. (English) Zbl 1180.30042 Commun. Math. Phys. 285, No. 3, 1109-1128 (2009). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 30E10 30C10 30E15 30C15 PDFBibTeX XMLCite \textit{E. Miña-Díaz}, Commun. Math. Phys. 285, No. 3, 1109--1128 (2009; Zbl 1180.30042) Full Text: DOI arXiv
Sergeev, A. N.; Veselov, A. P. Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials. (English) Zbl 1180.33024 Commun. Math. Phys. 288, No. 2, 653-675 (2009). Reviewer: Wolfram Koepf (Kassel) MSC: 33D52 PDFBibTeX XMLCite \textit{A. N. Sergeev} and \textit{A. P. Veselov}, Commun. Math. Phys. 288, No. 2, 653--675 (2009; Zbl 1180.33024) Full Text: DOI arXiv Link
Borodin, Alexei; Strahov, Eugene Correlation kernels for discrete symplectic and orthogonal ensembles. (English) Zbl 1190.82005 Commun. Math. Phys. 286, No. 3, 933-977 (2009). MSC: 82B10 82B44 33C45 42C05 30C10 15B52 PDFBibTeX XMLCite \textit{A. Borodin} and \textit{E. Strahov}, Commun. Math. Phys. 286, No. 3, 933--977 (2009; Zbl 1190.82005) Full Text: DOI arXiv Link
Baik, Jinho; Buckingham, Robert; DiFranco, Jeffery Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function. (English) Zbl 1221.33032 Commun. Math. Phys. 280, No. 2, 463-497 (2008). Reviewer: Andrei A. Kapaev (Trieste) MSC: 33E17 34M55 47B35 15B52 PDFBibTeX XMLCite \textit{J. Baik} et al., Commun. Math. Phys. 280, No. 2, 463--497 (2008; Zbl 1221.33032) Full Text: DOI arXiv
Ryckman, E. Erratum: A strong Szegő theorem for Jacobi matrices. (English) Zbl 1137.47025 Commun. Math. Phys. 275, No. 2, 581-585 (2007). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B36 39A70 42C05 47A10 PDFBibTeX XMLCite \textit{E. Ryckman}, Commun. Math. Phys. 275, No. 2, 581--585 (2007; Zbl 1137.47025) Full Text: DOI
Spiridonov, V. P.; Tsujimoto, S.; Zhedanov, A. S. Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials. (English) Zbl 1136.37041 Commun. Math. Phys. 272, No. 1, 139-165 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37K60 33E05 37K10 45C05 42C05 PDFBibTeX XMLCite \textit{V. P. Spiridonov} et al., Commun. Math. Phys. 272, No. 1, 139--165 (2007; Zbl 1136.37041) Full Text: DOI
Kasatani, M.; Pasquier, V. On polynomials interpolating between the stationary state of a \(O (n)\) model and a Q.H.E. ground state. (English) Zbl 1136.82008 Commun. Math. Phys. 276, No. 2, 397-435 (2007). MSC: 82B20 33C52 81R10 PDFBibTeX XMLCite \textit{M. Kasatani} and \textit{V. Pasquier}, Commun. Math. Phys. 276, No. 2, 397--435 (2007; Zbl 1136.82008) Full Text: DOI arXiv
Anshelevich, Michael Free Meixner states. (English) Zbl 1133.33001 Commun. Math. Phys. 276, No. 3, 863-899 (2007). Reviewer: Pushpa N. Rathie (Brasilia) MSC: 33C47 PDFBibTeX XMLCite \textit{M. Anshelevich}, Commun. Math. Phys. 276, No. 3, 863--899 (2007; Zbl 1133.33001) Full Text: DOI arXiv
Ryckman, E. A strong Szegő theorem for Jacobi matrices. (English) Zbl 1133.47025 Commun. Math. Phys. 271, No. 3, 791-820 (2007); erratum ibid. 275, No. 2, 581-585 (2007). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B36 39A70 42C05 47A10 PDFBibTeX XMLCite \textit{E. Ryckman}, Commun. Math. Phys. 271, No. 3, 791--820 (2007; Zbl 1133.47025) Full Text: DOI arXiv
van de Bult, F. J.; Rains, E. M.; Stokman, J. V. Properties of generalized univariate hypergeometric functions. (English) Zbl 1144.33007 Commun. Math. Phys. 275, No. 1, 37-95 (2007). Reviewer: Vivek Sahai (Lucknow) MSC: 33C70 33D52 PDFBibTeX XMLCite \textit{F. J. van de Bult} et al., Commun. Math. Phys. 275, No. 1, 37--95 (2007; Zbl 1144.33007) Full Text: DOI arXiv
Claeys, T.; Vanlessen, M. Universality of a double scaling limit near singular edge points in random matrix models. (English) Zbl 1136.82023 Commun. Math. Phys. 273, No. 2, 499-532 (2007). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B44 60H25 81Q50 82B10 15B52 37A60 42C05 PDFBibTeX XMLCite \textit{T. Claeys} and \textit{M. Vanlessen}, Commun. Math. Phys. 273, No. 2, 499--532 (2007; Zbl 1136.82023) Full Text: DOI arXiv
Shiraishi, Jun’ichi A family of integral transformations and basic hypergeometric series. (English) Zbl 1103.33011 Commun. Math. Phys. 263, No. 2, 439-460 (2006). MSC: 33D52 33D67 81R50 82B23 05E05 PDFBibTeX XMLCite \textit{J. Shiraishi}, Commun. Math. Phys. 263, No. 2, 439--460 (2006; Zbl 1103.33011) Full Text: DOI arXiv
Bleher, Pavel; Kuijlaars, Arno B. J. Large \(n\) limit of Gaussian random matrices with external source. I. (English) Zbl 1124.82309 Commun. Math. Phys. 252, No. 1-3, 43-76 (2004). MSC: 82B41 15A42 42C05 60F99 PDFBibTeX XMLCite \textit{P. Bleher} and \textit{A. B. J. Kuijlaars}, Commun. Math. Phys. 252, No. 1--3, 43--76 (2004; Zbl 1124.82309) Full Text: DOI arXiv
Ruijsenaars, S. N. M. A generalized hypergeometric function. II: Asymptotics and \(D_4\) symmetry. (English) Zbl 1092.33017 Commun. Math. Phys. 243, No. 3, 389-412 (2003). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33D45 33Cxx 33D60 39A13 PDFBibTeX XMLCite \textit{S. N. M. Ruijsenaars}, Commun. Math. Phys. 243, No. 3, 389--412 (2003; Zbl 1092.33017) Full Text: DOI
Simon, Barry; Zlatoš, Andrej Sum rules and the Szegő condition for orthogonal polynomials on the real line. (English) Zbl 1046.42017 Commun. Math. Phys. 242, No. 3, 393-423 (2003). Reviewer: Marcel G. de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{B. Simon} and \textit{A. Zlatoš}, Commun. Math. Phys. 242, No. 3, 393--423 (2003; Zbl 1046.42017) Full Text: DOI arXiv Link
Bertola, M.; Eynard, B.; Harnad, J. Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem. (English) Zbl 1046.34098 Commun. Math. Phys. 243, No. 2, 193-240 (2003). MSC: 34M50 34M55 33C50 35Q15 PDFBibTeX XMLCite \textit{M. Bertola} et al., Commun. Math. Phys. 243, No. 2, 193--240 (2003; Zbl 1046.34098) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Vanlessen, M. Universality for eigenvalue correlations at the origin of the spectrum. (English) Zbl 1041.82007 Commun. Math. Phys. 243, No. 1, 163-191 (2003). MSC: 82B44 15B52 42C05 81Q10 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{M. Vanlessen}, Commun. Math. Phys. 243, No. 1, 163--191 (2003; Zbl 1041.82007) Full Text: DOI arXiv
Loutsenko, Igor Integrable dynamics of charges related to the bilinear hypergeometric equation. (English) Zbl 1065.37059 Commun. Math. Phys. 242, No. 1-2, 251-275 (2003). MSC: 37N20 34A26 81R12 37J35 33C52 78A35 PDFBibTeX XMLCite \textit{I. Loutsenko}, Commun. Math. Phys. 242, No. 1--2, 251--275 (2003; Zbl 1065.37059) Full Text: DOI arXiv
Ruijsenaars, S. N. M. Factorized weight functions vs. factorized scattering. (English) Zbl 1005.81090 Commun. Math. Phys. 228, No. 3, 467-494 (2002). MSC: 81U15 35Q51 37K10 81R12 33C52 35P25 PDFBibTeX XMLCite \textit{S. N. M. Ruijsenaars}, Commun. Math. Phys. 228, No. 3, 467--494 (2002; Zbl 1005.81090) Full Text: DOI
Accardi, Luigi; Franz, Uwe; Skeide, Michael Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras. (English) Zbl 1006.60064 Commun. Math. Phys. 228, No. 1, 123-150 (2002). Reviewer: Zagorka Lozanov-Crvenković (Novi Sad) MSC: 60H40 81S25 60G51 17B99 33C45 PDFBibTeX XMLCite \textit{L. Accardi} et al., Commun. Math. Phys. 228, No. 1, 123--150 (2002; Zbl 1006.60064) Full Text: DOI
Bourget, Alain; Toth, John A. Asymptotic statistics of zeroes for the Lamé ensemble. (English) Zbl 1056.33008 Commun. Math. Phys. 222, No. 3, 475-493 (2001). MSC: 33C45 81R12 PDFBibTeX XMLCite \textit{A. Bourget} and \textit{J. A. Toth}, Commun. Math. Phys. 222, No. 3, 475--493 (2001; Zbl 1056.33008) Full Text: DOI
Golinskii, Leonid; Nevai, Paul Szegö difference equations, transfer matrices and orthogonal polynomials on the unit circle. (English) Zbl 0998.42015 Commun. Math. Phys. 223, No. 2, 223-259 (2001). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 39A05 47B99 34A30 34L40 PDFBibTeX XMLCite \textit{L. Golinskii} and \textit{P. Nevai}, Commun. Math. Phys. 223, No. 2, 223--259 (2001; Zbl 0998.42015) Full Text: DOI
Berg, Christian; Ruffing, Andreas Generalized \(q\)-Hermite polynomials. (English) Zbl 0989.81004 Commun. Math. Phys. 223, No. 1, 29-46 (2001). MSC: 81P10 33D45 81R50 47B39 33D90 PDFBibTeX XMLCite \textit{C. Berg} and \textit{A. Ruffing}, Commun. Math. Phys. 223, No. 1, 29--46 (2001; Zbl 0989.81004) Full Text: DOI
Borodin, Alexei; Olshanski, Grigori Distributions on partitions, point processes, and the hypergeometric kernel. (English) Zbl 0966.60049 Commun. Math. Phys. 211, No. 2, 335-358 (2000). Reviewer: Peter Forrester (Parkville) MSC: 60G55 33C45 PDFBibTeX XMLCite \textit{A. Borodin} and \textit{G. Olshanski}, Commun. Math. Phys. 211, No. 2, 335--358 (2000; Zbl 0966.60049) Full Text: DOI arXiv
Spiridonov, Vyacheslav; Zhedanov, Alexei Spectral transformation chains and some new biorthogonal rational functions. (English) Zbl 0989.33008 Commun. Math. Phys. 210, No. 1, 49-83 (2000). Reviewer: Marcel G.de Bruin (Delft) MSC: 33C45 33D45 42C05 PDFBibTeX XMLCite \textit{V. Spiridonov} and \textit{A. Zhedanov}, Commun. Math. Phys. 210, No. 1, 49--83 (2000; Zbl 0989.33008) Full Text: DOI
Adler, M.; van Moerbeke, P. Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems. (English) Zbl 1063.37057 Commun. Math. Phys. 207, No. 3, 589-620 (1999). MSC: 37K10 17B81 33C90 37K15 37K40 42C05 47B36 81V70 PDFBibTeX XMLCite \textit{M. Adler} and \textit{P. van Moerbeke}, Commun. Math. Phys. 207, No. 3, 589--620 (1999; Zbl 1063.37057) Full Text: DOI arXiv
Ruijsenaars, S. N. M. A generalized hypergeometric function satisfying four analytic difference equations of Askey-Wilson type. (English) Zbl 0944.33014 Commun. Math. Phys. 206, No. 3, 639-690 (1999). Reviewer: Peter Forrester (Parkville MSC: 33D45 39A10 PDFBibTeX XMLCite \textit{S. N. M. Ruijsenaars}, Commun. Math. Phys. 206, No. 3, 639--690 (1999; Zbl 0944.33014) Full Text: DOI
Hoppe, Jens; Yau, Shing-Tung Some properties of matrix harmonics on \(S^2\). (English) Zbl 0984.43005 Commun. Math. Phys. 195, No. 1, 67-77 (1998). Reviewer: Eugene S.Kryachko (Heverlee-Leuven) MSC: 43A99 53Z05 PDFBibTeX XMLCite \textit{J. Hoppe} and \textit{S.-T. Yau}, Commun. Math. Phys. 195, No. 1, 67--77 (1998; Zbl 0984.43005) Full Text: DOI
Dunkl, Charles F. Orthogonal polynomials of types \(A\) and \(B\) and related Calogero models. (English) Zbl 0936.33006 Commun. Math. Phys. 197, No. 2, 451-487 (1998). Reviewer: D.M.Bressoud (St.Paul) MSC: 33C80 81V70 33C45 33-02 81U15 PDFBibTeX XMLCite \textit{C. F. Dunkl}, Commun. Math. Phys. 197, No. 2, 451--487 (1998; Zbl 0936.33006) Full Text: DOI arXiv
Uglov, Denis Yangian Gelfand-Zetlin bases, \({\mathfrak gl}_N\)-Jack polynomials and computation of dynamical correlation functions in the spin Calogero-Sutherland model. (English) Zbl 0962.17012 Commun. Math. Phys. 191, No. 3, 663-696 (1998). MSC: 17B37 33D80 39A70 05E35 17B81 81V70 PDFBibTeX XMLCite \textit{D. Uglov}, Commun. Math. Phys. 191, No. 3, 663--696 (1998; Zbl 0962.17012) Full Text: DOI arXiv
Rösler, Margit Generalized Hermite polynomials and the heat equation for Dunkl operators. (English) Zbl 0908.33005 Commun. Math. Phys. 192, No. 3, 519-542 (1998). Reviewer: N.Jacob (Erlangen) MSC: 33C45 35R10 43A99 PDFBibTeX XMLCite \textit{M. Rösler}, Commun. Math. Phys. 192, No. 3, 519--542 (1998; Zbl 0908.33005) Full Text: DOI arXiv
Geronimo, J. S.; Johnson, R. An inverse problem associated with polynomials orthogonal on the unit circle. (English) Zbl 0943.42017 Commun. Math. Phys. 193, No. 1, 125-150 (1998). Reviewer: Roland Wisk (Berlin) MSC: 42C05 33C47 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{R. Johnson}, Commun. Math. Phys. 193, No. 1, 125--150 (1998; Zbl 0943.42017) Full Text: DOI
van Diejen, J. F. Confluent hypergeometric orthogonal polynomials related to the rational quantum Calogero system with harmonic confinement. (English) Zbl 0917.33008 Commun. Math. Phys. 188, No. 2, 467-497 (1997). Reviewer: D.Duverney (Lille) MSC: 33C50 81V70 PDFBibTeX XMLCite \textit{J. F. van Diejen}, Commun. Math. Phys. 188, No. 2, 467--497 (1997; Zbl 0917.33008) Full Text: DOI arXiv
Grünbaum, F. Alberto; Haine, Luc Some functions that generalize the Askey-Wilson polynomials. (English) Zbl 0871.33009 Commun. Math. Phys. 184, No. 1, 173-202 (1997). Reviewer: V.L.Deshpande (Amalner) MSC: 33D45 39A10 33C45 PDFBibTeX XMLCite \textit{F. A. Grünbaum} and \textit{L. Haine}, Commun. Math. Phys. 184, No. 1, 173--202 (1997; Zbl 0871.33009) Full Text: DOI
Hosono, S.; Lian, B. H.; Yau, S.-T. GKZ-generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces. (English) Zbl 0870.14028 Commun. Math. Phys. 182, No. 3, 535-577 (1996). Reviewer: I.V.Dolgachev (Ann Arbor) MSC: 14J32 14M25 14D05 14J70 81T30 33C50 PDFBibTeX XMLCite \textit{S. Hosono} et al., Commun. Math. Phys. 182, No. 3, 535--577 (1996; Zbl 0870.14028) Full Text: DOI arXiv
Koelink, H. T.; Verding, J. Spectral analysis and the Haar functional on the quantum \(SU(2)\) group. (English) Zbl 0848.22029 Commun. Math. Phys. 177, No. 2, 399-415 (1996). MSC: 22E70 17B37 81R50 PDFBibTeX XMLCite \textit{H. T. Koelink} and \textit{J. Verding}, Commun. Math. Phys. 177, No. 2, 399--415 (1996; Zbl 0848.22029) Full Text: DOI arXiv
Klimyk, A. U.; Kachurik, I. I. Spectra, eigenvectors and overlap functions for representation operators of \(q\)-deformed algebras. (English) Zbl 0846.17013 Commun. Math. Phys. 175, No. 1, 89-111 (1996). MSC: 17B37 33D45 33D80 PDFBibTeX XMLCite \textit{A. U. Klimyk} and \textit{I. I. Kachurik}, Commun. Math. Phys. 175, No. 1, 89--111 (1996; Zbl 0846.17013) Full Text: DOI
Freund, Peter G. O.; Zabrodin, Anton V. The spectral problem for the \(q\)-Knizhnik-Zamolodchikov equation and continuous \(q\)-Jacobi polynomials. (English) Zbl 0832.35106 Commun. Math. Phys. 173, No. 1, 17-42 (1995). MSC: 35P25 82B23 35Q58 81U20 81T30 33D45 PDFBibTeX XMLCite \textit{P. G. O. Freund} and \textit{A. V. Zabrodin}, Commun. Math. Phys. 173, No. 1, 17--42 (1995; Zbl 0832.35106) Full Text: DOI arXiv
Nica, Alexandru A one-parameter family of transforms, linearizing convolution laws for probability distributions. (English) Zbl 0818.60096 Commun. Math. Phys. 168, No. 1, 187-207 (1995). MSC: 60K40 PDFBibTeX XMLCite \textit{A. Nica}, Commun. Math. Phys. 168, No. 1, 187--207 (1995; Zbl 0818.60096) Full Text: DOI
Lance, E. Christopher An explicit description of the fundamental unitary for \(SU(2)_ q\). (English) Zbl 0818.17014 Commun. Math. Phys. 164, No. 1, 1-15 (1994). MSC: 17B37 33D45 46L89 PDFBibTeX XMLCite \textit{E. C. Lance}, Commun. Math. Phys. 164, No. 1, 1--15 (1994; Zbl 0818.17014) Full Text: DOI
Tracy, Craig A.; Widom, Harold Fredholm determinants, differential equations and matrix models. (English) Zbl 0813.35110 Commun. Math. Phys. 163, No. 1, 33-72 (1994). Reviewer: G.Jumarie (Montreal) MSC: 35Q53 33C10 33C45 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, Commun. Math. Phys. 163, No. 1, 33--72 (1994; Zbl 0813.35110) Full Text: DOI arXiv
Reach, Michael Generating difference equations with the Darboux transformations. (English) Zbl 0697.39005 Commun. Math. Phys. 119, No. 3, 385-402 (1988). Reviewer: R.C.Singh Chandel MSC: 39A70 47B39 33C45 PDFBibTeX XMLCite \textit{M. Reach}, Commun. Math. Phys. 119, No. 3, 385--402 (1988; Zbl 0697.39005) Full Text: DOI
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. Almost periodic Jacobi matrices associated with Julia sets for polynomials. (English) Zbl 0574.58016 Commun. Math. Phys. 99, 303-317 (1985). Reviewer: I.N.Baker MSC: 37B99 28D05 42C05 30D05 PDFBibTeX XMLCite \textit{M. F. Barnsley} et al., Commun. Math. Phys. 99, 303--317 (1985; Zbl 0574.58016) Full Text: DOI
Bessis, D.; Moussa, P. Orthogonality properties of iterated polynomial mappings. (English) Zbl 0523.30019 Commun. Math. Phys. 88, 503-529 (1983). MSC: 30D05 28D05 33C45 30B70 30E05 42C05 PDFBibTeX XMLCite \textit{D. Bessis} and \textit{P. Moussa}, Commun. Math. Phys. 88, 503--529 (1983; Zbl 0523.30019) Full Text: DOI
Mehta, M. L. A method of integration over matrix variables. (English) Zbl 0471.28007 Commun. Math. Phys. 79, 327-340 (1981). MSC: 28C20 46G12 81T08 PDFBibTeX XMLCite \textit{M. L. Mehta}, Commun. Math. Phys. 79, 327--340 (1981; Zbl 0471.28007) Full Text: DOI
Symanzik, K. Small-distance-behaviour analysis and Wilson-expansions. (English) Zbl 0253.42016 Commun. Math. Phys. 23, 49-86 (1971). MSC: 42C10 41A60 PDFBibTeX XMLCite \textit{K. Symanzik}, Commun. Math. Phys. 23, 49--86 (1971; Zbl 0253.42016) Full Text: DOI