Results 131 to 140 of about 95,105 (247)

Factorisation of Macdonald polynomials

, 1997
We discuss the problem of factorisation of the symmetric Macdonald polynomials and present the obtained results for the cases of 2 and 3 variables.Comment: 13 pages, LaTex, no ...
Kuznetsov, Vadim B., Sklyanin, Evgueni K.   +1 more
core   +2 more sources

Impact of Temperature Variability on the Caputo Fractional Malaria Model

Engineering Reports, Volume 7, Issue 3, March 2025.
This study aims to analyze the age related characteristics of malaria in human host by exploring Caputo fractional order models with temperature variability, that is looked into the combined effects of fractional order and temperature variability on malaria dynamics.
Dawit Kechine Menbiko, Chernet Tuge Deressa   +1 more
wiley   +1 more source

Simple representations of BPS algebras: the case of $$Y(\widehat{\mathfrak {gl}}_2)$$ Y ( gl ^ 2 )

European Physical Journal C: Particles and Fields
BPS algebras are the symmetries of a wide class of brane-inspired models. They are closely related to Yangians – the peculiar and somewhat sophisticated limit of DIM algebras. Still they possess some simple and explicit representations.
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov   +2 more
doaj   +1 more source

Dynamic Mud Deposition Along the Fluvial–Tidal Transition Zone in the Waihou River, Aotearoa New Zealand

Journal of Geophysical Research: Earth Surface, Volume 130, Issue 3, March 2025.
Abstract The fluvial–tidal transition zone (FTT) is a critical interface where complex interactions between river flow, tides, and sedimentation shape geomorphic systems and influence the dynamics of aquatic environments. However, few previous studies have integrated real‐time hydrodynamic data with sedimentary deposits.
A. D. La Croix, B. Roche, J. C. Mullarney   +2 more
wiley   +1 more source

Inversion of the Pieri formula for Macdonald polynomials

Advances in Mathematics, 2006
We give the explicit analytic development of Macdonald polynomials in terms of "modified complete" and elementary symmetric functions. These expansions are obtained by inverting the Pieri formula. Specialization yields similar developments for monomial, Jack and Hall-Littlewood symmetric functions.
Lassalle, Michel, Schlosser, M.
openaire   +4 more sources

Pieri-Type Formulas for the Nonsymmetric Macdonald Polynomials [PDF]

arXiv, 2008
In symmetric Macdonald polynomial theory the Pieri formula gives the branching coefficients for the product of the rth elementary symmetric function and the Macdonald polynomial. In this paper we give the nonsymmetric analogues for the cases r=1 and r=n-1.
arxiv  

Bounds on Fourier coefficients and global sup‐norms for Siegel cusp forms of degree 2

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Let F$F$ be an L2$L^2$‐normalized Siegel cusp form for Sp4(Z)${\rm Sp}_4({\mathbb {Z}})$ of weight k$k$ that is a Hecke eigenform and not a Saito–Kurokawa lift. Assuming the generalized Riemann hypothesis, we prove that its Fourier coefficients satisfy the bound |a(F,S)|≪εk1/4+ε(4π)kΓ(k)c(S)−12det(S)k−12+ε$|a(F,S)| \ll _\epsilon \frac{k^{1/4 ...
Félicien Comtat, Jolanta Marzec‐Ballesteros, Abhishek Saha   +2 more
wiley   +1 more source

Symmetric and non-symmetric Macdonald polynomials [PDF]

arXiv, 1998
The symmetric Macdonald polynomials are able to be constructed out of the non-symmetric Macdonald polynomials. This allows us to develop the theory of the symmetric Macdonald polynomials by first developing the theory of their non-symmetric counterparts.
arxiv  

3d field theory, plane partitions and triple Macdonald polynomials

Journal of High Energy Physics, 2019
We argue that MacMahon representation of Ding-Iohara-Miki (DIM) algebra spanned by plane partitions is closely related to the Hilbert space of a 3d field theory.
Yegor Zenkevich
doaj   +1 more source

A Littlewood-Richardson rule for Macdonald polynomials [PDF]

arXiv, 2010
Macdonald polynomials are orthogonal polynomials associated to root systems, and in the type A case, the symmetric kind is a common generalization of Schur functions, Macdonald spherical functions, and Jack polynomials. We use the combinatorics of alcove walks to calculate products of monomials and intertwining operators of the double affine Hecke ...
arxiv