Zobrazeno 1 - 10
of 9 282
pro vyhledávání: '"Penrose"'
This article proves the following theorem, first enunciated by Roger Penrose about 70 years ago: In $\mathbb{R}P^2$, if regular conics are assigned to seven of the vertices of a combinatorial cube such that (i) conics connected by an edge are in doub
Externí odkaz:
http://arxiv.org/abs/2409.17150
Autor:
Küpper, Niclas, Penrose, Mathew D.
We investigate the behavior of large connected components in the Random Connection Model in the subcritical regime with any bounded connection function. We show that the asymptotic size of the largest component restricted to a window is the log of th
Externí odkaz:
http://arxiv.org/abs/2407.10715
Autor:
Penrose, Mathew D., Yang, Xiaochuan
Consider a random uniform sample of $n$ points in a compact region $A$ of Euclidean $d$-space, $d \geq 2$, with a smooth or (when $d=2$) polygonal boundary. Fix $k \in {\bf N}$. Let $T_{n,k}$ be the threshold $r$ at which the geometric graph on these
Externí odkaz:
http://arxiv.org/abs/2406.00647
Autor:
Penrose, Mathew D., Higgs, Frankie
Given a compact planar region $A$, let $\tau_A$ be the (random) time it takes for $A$ to be fully covered by a spatial birth-growth process in $A$ with seeds arriving as a unit-intensity Poisson point process in $A \times [0,\infty)$, where upon arri
Externí odkaz:
http://arxiv.org/abs/2405.17687
Autor:
Penrose, Mathew D., Yang, Xiaochuan
Consider a spherical Poisson Boolean model $Z$ in Euclidean $d$-space with $d \geq 2$, with Poisson intensity $t$ and radii distributed like $rY$ with $r \geq 0$ a scaling parameter and $Y$ a fixed nonnegative random variable with finite $(2d-2)$-nd
Externí odkaz:
http://arxiv.org/abs/2405.16461
Publikováno v:
Frontiers in Public Health, Vol 8 (2020)
Externí odkaz:
https://doaj.org/article/2f0e7ef8597640dc8480bcf1b9969c56
Autor:
Connie J. Evashwick, Penrose Jackson
Publikováno v:
Frontiers in Public Health, Vol 8 (2020)
To maintain exemption from federal taxes, non-profit hospitals in the USA are required to contribute to their communities an amount comparable to the taxes they otherwise would have paid. Since 2008, non-profit hospitals have had to file Form 990 Sch
Externí odkaz:
https://doaj.org/article/c5b5e5f04bda4da3a06599732665ca32
Let $X_1,X_2, \ldots $ and $Y_1, Y_2, \ldots$ be i.i.d. random uniform points in a bounded domain $A \subset \mathbb{R}^2$ with smooth or polygonal boundary. Given $n,m,k \in \mathbb{N}$, define the {\em two-sample $k$-coverage threshold} $R_{n,m,k}$
Externí odkaz:
http://arxiv.org/abs/2401.03832