Results 71 to 80 of about 45,205 (253)

Calogero-Sutherland-Moser Systems, Ruijsenaars-Schneider-van Diejen Systems and Orthogonal Polynomials

, 2005
The equilibrium positions of the multi-particle classical Calogero-Sutherland-Moser (CSM) systems with rational/trigonometric potentials associated with the classical root systems are described by the classical orthogonal polynomials; the Hermite ...
Odake, S., Sasaki, R.
core   +2 more sources

On Bipartite Biregular Large Graphs Derived From Difference Sets

Journal of Graph Theory, EarlyView.
ABSTRACT A bipartite graph G = ( V , E ) $G=(V,E)$ with V = V 1 ∪ V 2 $V={V}_{1}\cup {V}_{2}$ is biregular if all the vertices of each stable set, V 1 ${V}_{1}$ and V 2 ${V}_{2}$, have the same degree, r $r$ and s $s$, respectively. This paper studies difference sets derived from both Abelian and non‐Abelian groups.
Gabriela Araujo‐Pardo, Cristina Dalfó, Miquel Àngel Fiol, Nacho López   +3 more
wiley   +1 more source

Estimation of Two Component Activities of Binary Liquid Alloys by the Pair Potential Energy Containing a Polynomial of the Partial Radial Distribution Function

Metals, 2023
An investigation of partial radial distribution functions and atomic pair potentials within a system has established that the existing potential functions are rooted in the assumption of a static arrangement of atoms, overlooking their distribution and ...
Jiulong Hang, Dongping Tao
doaj   +1 more source

Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II [PDF]

, 2015
In a previous paper we presented $3+2M$ term recurrence relations with variable dependent coefficients for $M$-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson and Askey-Wilson types.
Odake, Satoru
core   +8 more sources

Orthogonal Polynomials of Askey-Wilson Type

, 2022
26 ...
Ismail, Mourad E. H., Zhang, Ruiming, Zhou, Keru   +2 more
openaire   +2 more sources

Abundant Neighborhoods, Two‐Sided Markets, and Maximal Matchings

Naval Research Logistics (NRL), EarlyView.
ABSTRACT I introduce a new graph‐theoretic property called abundant neighborhoods. This property is motivated by studying the thickness of economic markets. A vertex is, roughly, guaranteed to match if and only if it has an abundant neighborhood.
Muhammad Maaz
wiley   +1 more source

Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D

Symmetry, Integrability and Geometry: Methods and Applications, 2008
There are 13 equivalence classes of 2D second order quantum and classical superintegrable systems with nontrivial potential, each associated with a quadratic algebra of hidden symmetries.
Sarah Post, Willard Miller Jr., Ernest G. Kalnins   +2 more
doaj   +1 more source

Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure

Nuclear Physics B, 2022
We have recently proposed [1] a powerful method for computing group factors of the perturbative series expansion of the Wilson loop in the Chern-Simons theory with SU(N) gauge group.
E. Lanina, A. Sleptsov, N. Tselousov
doaj  

Recurrence Relations of the Multi-Indexed Orthogonal Polynomials V : Racah and $q$-Racah types

, 2019
In previous papers, we discussed the recurrence relations of the multi-indexed orthogonal polynomials of the Laguerre, Jacobi, Wilson and Askey-Wilson types. In this paper we explore those of the Racah and $q$-Racah types. For the $M$-indexed ($q$-)Racah
Odake, Satoru
core   +1 more source

Co‐creating solutions to the hidden impacts of climate change on Canada's Pacific kelp forests

People and Nature, EarlyView.
Abstract Co‐designed research driven by the information needs of coastal communities can enhance social‐ecological resilience to climate change. On the Central Coast of British Columbia, Canada, the 2014–2015 marine heatwave triggered an outbreak of an encrusting bryozoan (Membranipora spp.) on giant kelp (Macrocystis tenuifolia), an ecologically ...
Danielle Denley, Alejandro Frid, Sandie Hankewich, Desiree Lawson, Anne Salomon   +4 more
wiley   +1 more source