Zobrazeno 1 - 10
of 11 856
pro vyhledávání: '"CAMPBELL, JOHN A."'
Autor:
Campbell, John M.
Given an identity relating families of Schur and power sum symmetric functions, this may be thought of as encoding representation-theoretic properties according to how the $p$-to-$s$ transition matrices provide the irreducible character tables for sy
Externí odkaz:
http://arxiv.org/abs/2412.18368
Autor:
Campbell, John M.
Letting $L_{n}(N, u)$ denote a polylogarithm ladder of weight $n$ and index $N$ with $u$ as an algebraic number, there is a rich history surrounding how mathematical objects of this form can be constructed for a given weight or index. This raises que
Externí odkaz:
http://arxiv.org/abs/2412.00991
Autor:
Campbell, John M.
If we consider previously introduced extensions of Stanley's chromatic symmetric function $X_{G}(x_1, x_2, \ldots)$ for a graph $G$ to elements in the algebra $\textsf{QSym}$ of quasisymmetric functions and in the algebra $\textsf{NCSym}$ of symmetri
Externí odkaz:
http://arxiv.org/abs/2410.04669
The pair production of Higgs bosons at the LHC can give information about the triple Higgs boson coupling. We perform an analytic one-loop calculation of the amplitudes for a pair of Higgs bosons in association with three partons, retaining the exact
Externí odkaz:
http://arxiv.org/abs/2408.12686
While the current frontier in fixed-order precision for collider observables is N$^3$LO, important steps are necessary to consolidate NNLO cross-section predictions with improved stability and efficiency. Slicing methods have been successfully applie
Externí odkaz:
http://arxiv.org/abs/2408.05265
Autor:
Campbell, John M.
Hou, Krattenthaler, and Sun have introduced two $q$-analogues of a remarkable series for $\pi^2$ due to Guillera, and these $q$-identities were, respectively, proved with the use of a $q$-analogue of a Wilf-Zeilberger pair provided by Guillera and wi
Externí odkaz:
http://arxiv.org/abs/2407.00621
In combinatorics on words, the well-studied factor complexity function $\rho_{\bf x}$ of a sequence ${\bf x}$ over a finite alphabet counts, for any nonnegative integer $n$, the number of distinct length-$n$ factors of $\mathbf{x}$. In this paper, we
Externí odkaz:
http://arxiv.org/abs/2406.09302
The numerically stable evaluation of scattering matrix elements near the infrared limit of gauge theories is of great importance for the success of collider physics experiments. We present a novel algorithm that utilizes double precision arithmetic a
Externí odkaz:
http://arxiv.org/abs/2406.07671
Autor:
Campbell, John M.
Schur-Weyl duality concerns the actions of $\text{GL}_{n}(\mathbb{C})$ and $S_{k}$ on tensor powers of the form $V^{\otimes k}$ for an $n$-dimensional vector space $V$. There are rich histories within representation theory, combinatorics, and statist
Externí odkaz:
http://arxiv.org/abs/2406.02478
Autor:
Campbell, John M.
Chu and Zhang, in 2014, introduced hypergeometric transforms derived through the application of an Abel-type summation lemma to Dougall's ${}_{5}H_{5}$-series. These transforms were applied by Chu and Zhang to obtain accelerated rates of convergence,
Externí odkaz:
http://arxiv.org/abs/2405.02776