Results 61 to 70 of about 18,484 (234)

Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials

Symmetry, Integrability and Geometry: Methods and Applications, 2013
We present a semi-infinite q-boson system endowed with a four-parameter boundary interaction. The n-particle Hamiltonian is diagonalized by generalized Hall-Littlewood polynomials with hyperoctahedral symmetry that arise as a degeneration of the ...
Jan Felipe van Diejen, Erdal Emsiz
doaj   +1 more source

Shiraishi functor and non-Kerov deformation of Macdonald polynomials

European Physical Journal C: Particles and Fields, 2020
We suggest a further generalization of the hypergeometric-like series due to M. Noumi and J. Shiraishi by substituting the Pochhammer symbol with a nearly arbitrary function.
Hidetoshi Awata, Hiroaki Kanno, Andrei Mironov, Alexei Morozov   +3 more
doaj   +1 more source

An analysis of the linked decisions in the confiscation of illegally traded turtles

Conservation Science and Practice, EarlyView.
Increased enforcement of laws governing the international trade of freshwater turtles is increasing the numbers of confiscated turtles. Decision makers are thus increasingly faced with a complex decision, involving multiple linked agencies, regarding the disposition of turtles of unknown origin and disease status, which creates uncertainty about the ...
Desireé Smith, Graziella V. DiRenzo, Jillian E. Fleming, Margaret C. McEachran, Evan H. Campbell Grant   +4 more
wiley   +1 more source

Macdonald Polynomials from Sklyanin Algebras: A Conceptual Basis for the $p$-Adics-Quantum Group Connection

, 1991
We establish a previously conjectured connection between $p$-adics and quantum groups. We find in Sklyanin's two parameter elliptic quantum algebra and its generalizations, the conceptual basis for the Macdonald polynomials, which ``interpolate'' between
A. Weil, A.A. Belavin, A.B. Zamolodchikov, A.B. Zamolodchikov, A.V. Odeskii, A.V. Zabrodin, A.V. Zabrodin, Anton V. Zabrodin, D.D. Coon, E.K. Sklyanin, E.K. Sklyanin, F. Bruhat, F. Mautner, G. Gasper, H. Exton, I.G. Macdonald, I.M. Gel'fand, I.V. Cherednik, I.V. Cherednik, J.E. Humphreys, K. Ueno, L. Brekke, L.J. Rogers, M. Gaudin, M. Rahman, M.A. Olshanetsky, M.P. Richey, P. Cartier, P.G.O. Freund, P.G.O. Freund, P.G.O. Freund, P.P. Kulish, Peter G. O. Freund, R. Askey, R.F. Wehrhahn, R.J. Baxter, R.P. Langlands, S. Helgason, T. Koornwider   +38 more
core   +1 more source

Knowledge, perceptions, and barriers influence public actions to help bees in Toronto, Canada

Conservation Science and Practice, EarlyView.
Abstract Despite the enthusiasm surrounding bees, the public's current knowledge is sourced from the non‐native honey bee whose life history differs from many endemic North American species. Ascertaining the public's understandings and perceptions of bees is essential to implementing publicly supported conservation initiatives that may benefit bee ...
Anthony C. Ayers, Sandra M. Rehan
wiley   +1 more source

Specializations of nonsymmetric Macdonald–Koornwinder polynomials [PDF]

Journal of Algebraic Combinatorics, 2017
This work records the details of the Ram-Yip formula for nonsymmetric Macdonald-Koornwinder polynomials for the double affine Hecke algebras of not-necessarily-reduced affine root systems. It is shown that the t=0 equal-parameter specialization of nonsymmetric Macdonald polynomials admits an explicit combinatorial formula in terms of quantum alcove ...
Daniel Orr, Mark Shimozono
openaire   +3 more sources

Orthogonal Polynomials of Compact Simple Lie Groups

International Journal of Mathematics and Mathematical Sciences, 2011
Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko, Jiří Patera, Agnieszka Tereszkiewicz   +2 more
doaj   +1 more source

On pentagon identity in Ding-Iohara-Miki algebra

Journal of High Energy Physics, 2023
We notice that the famous pentagon identity for quantum dilogarithm functions and the five-term relation for certain operators related to Macdonald polynomials discovered by Garsia and Mellit can both be understood as specific cases of a general “master ...
Yegor Zenkevich
doaj   +1 more source

Somebody Knows Something: Managerial Ability, Product Development, and Return‐on‐Investment in a Hit‐Driven Industry

Journal of Economics &Management Strategy, EarlyView.
ABSTRACT In hit‐driven industries, product development is associated with a right‐skewed unconditional distribution of performance, and products in the right tail have outsized impacts. Understanding how exceptional performance is generated can improve resource allocation, but the literature advances two different narratives: one emphasizes postrelease
Darren Filson
wiley   +1 more source

Probabilistic operators for non-attacking tableaux and a compact formula for the symmetric Macdonald polynomials

Forum of Mathematics, Sigma
We prove a new tableaux formula for the symmetric Macdonald polynomials $P_{\lambda }(X;q,t)$ that has considerably fewer terms and simpler weights than previously existing formulas. Our formula is a sum over certain sorted non-attacking tableaux,
Olya Mandelshtam
doaj   +1 more source