Zobrazeno 1 - 10
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pro vyhledávání: '"Williams, Lauren"'
Autor:
Rietsch, Konstanze, Williams, Lauren
While mirror symmetry for flag varieties and Grassmannians has been extensively studied, Schubert varieties in the Grassmannian are singular, and hence standard mirror symmetry statements are not well-defined. Nevertheless, in this article we introdu
Externí odkaz:
http://arxiv.org/abs/2409.00734
Autor:
Rietsch, Konstanze, Williams, Lauren
In this paper we study the class of polytopes which can be obtained by taking the convex hull of some subset of the points $\{e_i-e_j \ \vert \ i \neq j\} \cup \{\pm e_i\}$ in $\mathbb{R}^n$, where $e_1,\dots,e_n$ is the standard basis of $\mathbb{R}
Externí odkaz:
http://arxiv.org/abs/2406.15803
The amplituhedron $A_{n,k,m}$ is a geometric object introduced in the context of scattering amplitudes in $N=4$ super Yang Mills. It generalizes the positive Grassmannian (when $n=k+m$), cyclic polytopes (when $k=1$), and the bounded complex of the c
Externí odkaz:
http://arxiv.org/abs/2404.03026
We study a multispecies $t$-PushTASEP system on a finite ring of $n$ sites with site-dependent rates $x_1,\dots,x_n$. Let $\lambda=(\lambda_1,\dots,\lambda_n)$ be a partition whose parts represent the species of the $n$ particles on the ring. We show
Externí odkaz:
http://arxiv.org/abs/2403.10485
Autor:
Even-Zohar, Chaim, Lakrec, Tsviqa, Parisi, Matteo, Tessler, Ran, Sherman-Bennett, Melissa, Williams, Lauren
The amplituhedron is a mathematical object which was introduced to provide a geometric origin of scattering amplitudes in $\mathcal{N}=4$ super Yang Mills theory. It generalizes \emph{cyclic polytopes} and the \emph{positive Grassmannian}, and has a
Externí odkaz:
http://arxiv.org/abs/2402.15568
In this article we give a combinatorial formula for a certain class of Koornwinder polynomials, also known as Macdonald polynomials of type $\tilde{C}$. In particular, we give a combinatorial formula for the Koornwinder polynomials $K_{\lambda} = K_{
Externí odkaz:
http://arxiv.org/abs/2312.17469
Autor:
Even-Zohar, Chaim, Lakrec, Tsviqa, Parisi, Matteo, Tessler, Ran, Sherman-Bennett, Melissa, Williams, Lauren
The amplituhedron $A_{n,k,m}(Z)$ is the image of the positive Grassmannian $Gr_{k,n}^{\geq 0}$ under the map ${Z}: Gr_{k,n}^{\geq 0} \to Gr_{k,k+m}$ induced by a positive linear map $Z:\mathbb{R}^n \to \mathbb{R}^{k+m}$. Motivated by a question of Ho
Externí odkaz:
http://arxiv.org/abs/2310.17727
Autor:
Knight-Agarwal, Catherine, Davis, Deborah Lee, Williams, Lauren, Davey, Rachel, Cox, Robert, Clarke, Adam
Publikováno v:
JMIR mHealth and uHealth, Vol 3, Iss 2, p e44 (2015)
BackgroundThe number of pregnant women with a body mass index (BMI) of 30kg/m2 or more is increasing, which has important implications for antenatal care. Various resource-intensive interventions have attempted to assist women in managing their weigh
Externí odkaz:
https://doaj.org/article/47d0680897f44084ad0acc408615415e
Publikováno v:
Alg. Number Th. 18 (2024) 1333-1374
A flag positroid of ranks $\boldsymbol{r}:=(r_1<\dots
Externí odkaz:
http://arxiv.org/abs/2208.09131
Publikováno v:
JMIR Research Protocols, Vol 3, Iss 3, p e33 (2014)
BackgroundCardiovascular disease (CVD) is the leading cause of death globally, and accounted for nearly 31% of all deaths in Australia in 2011. The primary health care sector is at the frontline for addressing CVD, however, an evidence-to-practice ga
Externí odkaz:
https://doaj.org/article/339201882c484564a158daa3651cad9f