Zobrazeno 1 - 10
of 142
pro vyhledávání: '"Crampe, Nicolas"'
New bivariate Griffiths polynomials of $q$-Racah type are introduced and characterized. They generalize the polynomials orthogonal on the multinomial distribution introduced by R. Griffiths fifty years ago. They also correspond to a $q$-deformation o
Externí odkaz:
http://arxiv.org/abs/2407.17016
The bivariate $P$- and $Q$-polynomial structures of association schemes based on attenuated spaces are examined using recurrence and difference relations of the bivariate polynomials which form the eigenvalues of the scheme. These bispectral properti
Externí odkaz:
http://arxiv.org/abs/2405.04586
Bivariate Griffiths polynomials of Racah type are constructed from univariate Racah polynomials. The bispectral properties of the former are deduced from simple properties of the latter. A duality relation and the orthogonality of these polynomials a
Externí odkaz:
http://arxiv.org/abs/2403.12148
This paper offers a review of recent studies on the entanglement of free-fermion systems on graphs that take advantage of methods pertaining to signal processing and algebraic combinatorics. On the one hand, a parallel with time and band limiting pro
Externí odkaz:
http://arxiv.org/abs/2401.07150
Autor:
Crampe, Nicolas, Zaimi, Meri
The notion of factorized $A_2$-Leonard pair is introduced. It is defined as a rank 2 Leonard pair, with actions in certain bases corresponding to the root system of the Weyl group $A_2$, and with some additional properties. The functions arising as e
Externí odkaz:
http://arxiv.org/abs/2312.08312
An association scheme is $P$-polynomial if and only if it consists of the distance matrices of a distance-regular graph. Recently, bivariate $P$-polynomial association schemes of type $(\alpha,\beta)$ were introduced by Bernard et al., and multivaria
Externí odkaz:
http://arxiv.org/abs/2309.16016
We compute the matrix elements of $SO(3)$ in any finite-dimensional irreducible representation of $sl_3$. They are expressed in terms of a double sum of products of Krawtchouk and Racah polynomials which generalize the Griffiths-Krawtchouk polynomial
Externí odkaz:
http://arxiv.org/abs/2308.12809
The notion of multivariate $P$- and $Q$-polynomial association scheme has been introduced recently, generalizing the well-known univariate case. Numerous examples of such association schemes have already been exhibited. In particular, it has been dem
Externí odkaz:
http://arxiv.org/abs/2306.01882
Publikováno v:
SIGMA 19 (2023), 077, 36 pages
We propose a definition by generators and relations of the rank $n-2$ Askey-Wilson algebra $\mathfrak{aw}(n)$ for any integer $n$, generalising the known presentation for the usual case $n=3$. The generators are indexed by connected subsets of $\{1,\
Externí odkaz:
http://arxiv.org/abs/2303.17677
Publikováno v:
SciPost Phys. Proc. 14, 018 (2023)
The computation of the entanglement entropy for inhomogeneous free fermions chains based on q-Racah polynomials is considered. The eigenvalues of the truncated correlation matrix are obtained from the diagonalization of the associated Heun operator v
Externí odkaz:
http://arxiv.org/abs/2212.09805