Results 51 to 60 of about 1,099,967 (179)
Macdonald polynomials at $t=q^k$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We investigate the homogeneous symmetric Macdonald polynomials $P_{\lambda} (\mathbb{X} ;q,t)$ for the specialization $t=q^k$. We show an identity relying the polynomials $P_{\lambda} (\mathbb{X} ;q,q^k)$ and $P_{\lambda} (\frac{1-q}{1-q^k}\mathbb{X} ;q ...
Jean-Gabriel Luque
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Laguerre and Meixner symmetric functions, and infinite-dimensional diffusion processes [PDF]
, 2010 The Laguerre symmetric functions introduced in the note are indexed by arbitrary partitions and depend on two continuous parameters. The top degree homogeneous component of every Laguerre symmetric function coincides with the Schur function with the same
Olshanski, Grigori
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CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981), 3806-3812] (see also [Kac V.G., van de Leur J.W., Adv. Ser. Math. Phys., Vol. 7, World Sci.
Johan W. van de Leur +2 more
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(Anti-)symmetrizing wave functions [PDF]
Journal of Mathematical Physics, 2019 The construction of fully (anti-)symmetric states with many particles, when the single particle state carries multiple quantum numbers, is a problem that seems to have not been systematically addressed in the literature. A quintessential example is the construction of ground state baryon wave functions where the color singlet condition reduces the ...
Chethan Krishnan +2 more
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On some symmetric q-special functions
Le Matematiche, 2013 In this paper, we define the q-analogue of gamma and Bessel function,symmetric under interchange of q and q−1, and present some of its main properties.
Brahim Kamel, Sidomou Yosr
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Correspondence between conformal field theory and Calogero-Sutherland model
, 2004 We use the Jack symmetric functions as a basis of the Fock space, and study the action of the Virasoro generators $L_n$. We calculate explicitly the matrix elements of $L_n$ with respect to the Jack-basis.
Adler +34 more
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On the non-existence of Abelian Moore Cayley graphs with excess one [PDF]
Discrete Mathematics Letters, 2021 Wei He
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Plethystic exponential calculus and characteristic polynomials of permutations [PDF]
Discrete Mathematics Letters, 2021 Carlos A. A. Florentino
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Combinatorial reciprocity for non-intersecting paths [PDF]
Enumerative Combinatorics and Applications, 2023 Sam Hopkins, Gjergji Zaimi
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Partially Symmetric Functions are Efficiently Isomorphism-Testable [PDF]
, 2011 Given a function f: {0,1}^n \to {0,1}, the f-isomorphism testing problem requires a randomized algorithm to distinguish functions that are identical to f up to relabeling of the input variables from functions that are far from being so. An important open
Blais, Eric +2 more
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