Výsledky vyhledávání

Report

Cohomologie de syst\`emes locaux $p$-adiques sur les rev\^etements du demi-plan de Drinfeld

Autor: Vanhaecke, Arnaud

Colmez, Dospinescu and Niziol have shown that the only $p$-adic representations of $\rm{Gal}(\bar{\mathbb{Q}}_p/\mathbb{Q}_p)$ appearing in the $p$-adic \'etale cohomology of the coverings of Drinfeld's half-plane are the $2$-dimensional cuspidal rep

Externí odkaz: http://arxiv.org/abs/2405.10048

Zobrazit plný text záznamu

Report

Commutative Poisson algebras from deformations of noncommutative algebras

Autor: Mikhailov, Alexander V., Vanhaecke, Pol

It is well-known that a formal deformation of a commutative algebra ${\mathcal A}$ leads to a Poisson bracket on ${\mathcal A}$ and that the classical limit of a derivation on the deformation leads to a derivation on ${\mathcal A}$, which is Hamilton

Externí odkaz: http://arxiv.org/abs/2402.16191

Zobrazit plný text záznamu

Report

Integrable maps in 4D and modified Volterra lattices

Autor: Hone, A. N. W., Roberts, J. A. G., Vanhaecke, P., Zullo, F.

Publikováno v: Open Communications in Nonlinear Mathematical Physics, Special Issue in Memory of Decio Levi (February 15, 2024) ocnmp:12491

In recent work, we presented the construction of a family of difference equations associated with the Stieltjes continued fraction expansion of a certain function on a hyperelliptic curve of genus $g$. As well as proving that each such discrete syste

Externí odkaz: http://arxiv.org/abs/2310.19584

Zobrazit plný text záznamu

Report

A family of integrable maps associated with the Volterra lattice

Autor: Hone, A. N. W., Roberts, J. A. G., Vanhaecke, P.

Publikováno v: Nonlinearity 37 095028 (2024)

Recently Gubbiotti, Joshi, Tran and Viallet classified birational maps in four dimensions admitting two invariants (first integrals) with a particular degree structure, by considering recurrences of fourth order with a certain symmetry. The last thre

Externí odkaz: http://arxiv.org/abs/2309.02336

Zobrazit plný text záznamu

Akademický článek

Towards a better understanding of idiopathic epilepsy through metabolic fingerprinting of cerebrospinal fluid in dogs

Autor: Fien Verdoodt, Sofie F. M. Bhatti, Karla Kragic, Luc Van Ham, Lynn Vanhaecke, Myriam Hesta, Lieselot Y. Hemeryck

Publikováno v: Scientific Reports, Vol 14, Iss 1, Pp 1-13 (2024)

Abstract Cerebrospinal fluid metabolomics is a promising research technology in the elucidation of nervous system disorders. Therefore, in this work, a cerebrospinal fluid (CSF) metabolomics method using liquid chromatography coupled to mass spectrom

Externí odkaz: https://doaj.org/article/180ff0f64fce4bdab1f0857595307b65