Zobrazeno 1 - 10
of 1 204
pro vyhledávání: '"Van de Voorde, P"'
Quantification of nonlinear optical properties is required for nano-optical devices, but they are challenging to measure on a nanomaterial. Here, we harness enhanced optical fields inside a plasmonic nanocavity to mediate efficient nonlinear interact
Externí odkaz:
http://arxiv.org/abs/2411.02315
In this paper, we solve a classical counting problem for non-degenerate quadratic forms defined on a vector space in odd characteristic; given a subspace $\pi$, we determine the number of non-singular subspaces that are trivially intersecting with $\
Externí odkaz:
http://arxiv.org/abs/2409.12312
Autor:
Moltchanova, Elena, Moyers-González, Miguel, Van de Voorde, Geertrui, Voloch, José Felipe, Wacker, Philipp
In this paper, we consider how probability theory can be used to determine the survival strategy in two of the ``Squid Game" and ``Squid Game: The Challenge" challenges: the Hopscotch and the Warships. We show how Hopscotch can be easily tackled with
Externí odkaz:
http://arxiv.org/abs/2409.05263
In this paper, we solve a classical counting problem for non-degenerate forms of symplectic and hermitian type defined on a vector space: given a subspace $\pi$, we find the number of non-singular subspaces that are trivially intersecting with $\pi$
Externí odkaz:
http://arxiv.org/abs/2407.07486
Autor:
Devillers, Alice, Kamčev, Nina, McKay, Brendan, Catháin, Padraig Ó, Royle, Gordon, Van de Voorde, Geertrui, Wanless, Ian, Wood, David R.
There are finitely many graphs with diameter $2$ and girth 5. What if the girth 5 assumption is relaxed? Apart from stars, are there finitely many triangle-free graphs with diameter $2$ and no $K_{2,3}$ subgraph? This question is related to the exist
Externí odkaz:
http://arxiv.org/abs/2406.00246
Autor:
Mattheus, Sam, Van de Voorde, Geertrui
We use techniques from algebraic and extremal combinatorics to derive upper bounds on the number of independent sets in several (hyper)graphs arising from finite geometry. In this way, we obtain asymptotically sharp upper bounds for partial ovoids an
Externí odkaz:
http://arxiv.org/abs/2404.05305
Autor:
Lia, Stefano, Van de Voorde, Geertrui
This paper studies {\em strong blocking sets} in the $N$-dimensional finite projective space $\mathrm{PG}(N,q)$. We first show that certain unions of blocking sets cannot form strong blocking sets, which leads to a new lower bound on the size of a st
Externí odkaz:
http://arxiv.org/abs/2402.06939
In this paper, we characterise ovoidal cones by their intersection numbers. We first show that a set of points of $\mathrm{PG}(4,q)$ which intersects planes in $1$, $q+1$ or $2q+1$ points is either an ovoidal cone or a parabolic quadric, unless $q=3$
Externí odkaz:
http://arxiv.org/abs/2402.05666
Autor:
Wei Wang, Shanfeng He, Hao Guo, Jilili Abuduwaili, Alim Samat, Philippe De Maeyer, Tim Van de Voorde
Publikováno v:
International Journal of Disaster Risk Science, Vol 15, Iss 5, Pp 703-718 (2024)
Abstract This study aimed to assess sand and dust storm (SDS) risks in arid Central Asia during 2001–2021 from a multisectoral (environment, society, and agriculture) and comprehensive perspective on the Google Earth Engine (GEE) platform. The resu
Externí odkaz:
https://doaj.org/article/1032012805b641cba8c708b121d07815
It is known that a Bruen chain of the three-dimensional projective space $\mathrm{PG}(3,q)$ exists for every odd prime power $q$ at most $37$, except for $q=29$. It was shown by Cardinali et. al (2005) that Bruen chains do not exist for $41\le q\leq
Externí odkaz:
http://arxiv.org/abs/2305.01349