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- University of OregonUS8 papers
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4 papers · 1 filter
Effective conductivity of composites of graded spherical particles
K. W. Yu, G. Q. Gu
We have employed the first-principles approach to compute the effective response of composites of graded spherical particles of arbitrary conductivity profiles. We solve the bounda…
Cyclotomic Nazarov-Wenzl algebras
Susumu Ariki, Andrew Mathas, Hebing Rui
Nazarov \cite{Nazarov:brauer} introduced an infinite dimensional algebra, which he called the \textit{affine Wenzl algebra}, in his study of the Brauer algebras. In this paper we s…
Crossings and Nestings of Matchings and Partitions
William Y. C. Chen, Eva Y. P. Deng, Rosena R. X. Du +2
We present results on the enumeration of crossings and nestings for matchings and set partitions. Using a bijection between partitions and vacillating tableaux, we show that if we…
(k,m)-Catalan Numbers and Hook Length Polynomials for Plane Trees
Rosena R. X. Du, Fu Liu
Motivated by a formula of A. Postnikov relating binary trees, we define the hook length polynomials for m-ary trees and plane forests, and show that these polynomials have a simple…