Zobrazeno 1 - 10
of 305
pro vyhledávání: '"Yang, Xiaochuan"'
Autor:
Jaramillo, Arturo, Yang, Xiaochuan
We present a de Bruijn type approximation for quantifying the content of m smooth numbers, derived from samples obtained through a probability measure over the set of integers less than or equal to n, with point mass function at k inversely proportio
Externí odkaz:
http://arxiv.org/abs/2409.16527
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., 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
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
Autor:
Penrose, Mathew D., Yang, Xiaochuan
Let $X_1,X_2, \ldots $ be independent identically distributed random points in a convex polytopal domain $A \subset \mathbb{R}^d$. Define the largest nearest neighbour link $L_n$ to be the smallest $r$ such that every point of $\mathcal X_n:=\{X_1,\l
Externí odkaz:
http://arxiv.org/abs/2301.02506
Autor:
Penrose, Mathew D., Yang, Xiaochuan
Let $k,d $ be positive integers. We determine a sequence of constants that are asymptotic to the probability that the cluster at the origin in a $d$-dimensional Poisson Boolean model with balls of fixed radius is of order $k$, as the intensity become
Externí odkaz:
http://arxiv.org/abs/2209.14758
We present an assessment of the distance in total variation of \textit{arbitrary} collection of prime factor multiplicities of a random number in $[n]=\{1,\dots, n\}$ and a collection of independent geometric random variables. More precisely, we impo
Externí odkaz:
http://arxiv.org/abs/2111.07361
Publikováno v:
In Construction and Building Materials 14 June 2024 431
Autor:
Xie, Dandan, Yang, Xiaochuan, Wang, Hang, Fu, Qiuxia, Wei, Fayun, Liu, Nuo, Wang, Hailou, Zhang, Guangyu, Dai, Jiamu, Zhu, Chunhong, Zhang, Wei
Publikováno v:
In International Journal of Biological Macromolecules June 2024 270 Part 1
Autor:
Cai, Wenfeng, Xia, Huihui, Li, Weiwu, Kong, Delai, Ma, Zongjun, Cheng, Ming, Wang, Jiawei, Liu, Jianxun, Yang, Xiaochuan, Luo, Dan, Deng, Weiwei, Xu, Wenwei, Liu, Yan Jun
Publikováno v:
In Surfaces and Interfaces March 2024 46