Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Shengyou Wen"'
Publikováno v:
Journal of Synchrotron Radiation, Vol 31, Iss 5, Pp 1043-1049 (2024)
Multilayer gratings are increasingly popular optical elements at X-ray beamlines, as they can provide much higher photon flux in the tender X-ray range compared with traditional single-layer coated gratings. While there are several proprietary softwa
Externí odkaz:
https://doaj.org/article/82b19f73a0434fb5ad32d1b99544002e
Publikováno v:
Journal of Mathematical Analysis and Applications. 524:127088
Publikováno v:
Journal of Number Theory. 219:386-403
Let α , β ∈ ( 0 , 1 ) such that at least one of them is irrational. We take a random walk on the real line such that the choice of α and β has equal probability 1/2. We prove that almost surely the αβ-orbit is uniformly distributed module one
Autor:
Shengyou Wen, Xiang Gao
Publikováno v:
Bulletin of the Australian Mathematical Society. 102:479-489
It is known that the Fourier–Stieltjes coefficients of a nonatomic coin-tossing measure may not vanish at infinity. However, we show that they could vanish at infinity along some integer subsequences, including the sequence ${\{b^{n}\}}_{n\geq 1}$
Autor:
Shengyou Wen, Fengji Peng
Publikováno v:
Journal of Mathematical Analysis and Applications. 479:1841-1850
We study the size of sets defined by frequencies of digits by means of doubling measures on the unit interval [ 0 , 1 ] . In our results we prove that the set of Borel normal numbers is not fat for doubling measures on [ 0 , 1 ] , although it is of f
Autor:
Changhao Chen, Shengyou Wen
Publikováno v:
Proceedings of the American Mathematical Society. 147:3439-3449
We study subsets of $\R^{d}$ which are thin for doubling measures or isotropic doubling measures. We show that any subset of $\R^{d}$ with Hausdorff dimension less than or equal to $d-1$ is thin for isotropic doubling measures. We also prove that a s
Publikováno v:
Chaos, Solitons & Fractals. 104:192-197
We prove that, given 0 ≤ β ≤ α and α ≤ λ ≤ β + α , there exist compact subsets X, Y of the Euclidean space R ⌈ α ⌉ such that dim A X = α , dim A Y = β and dim A ( X × Y ) = λ , where ⌈α⌉ is the smallest integer ≥ α and
Autor:
Fengji Peng, Shengyou Wen
Publikováno v:
Journal of Mathematical Analysis and Applications. 453:502-508
We prove that for every nonnegative, increasing and right continuous function g on [ 0 , n ] with g ( n ) = 1 and g ( ϵ ) = 0 for some ϵ ∈ ( 0 , n ) there exists a doubling probability measure μ on [ 0 , 1 ] n such that the distribution G μ of
Publikováno v:
International Journal of Number Theory. 13:65-75
Let [Formula: see text] be a set defined by digit restrictions. In this paper, we determine the Assouad dimension of [Formula: see text]. As an application, we construct a set of different Hausdorff, lower box, upper box, and Assouad dimensions. Also
Autor:
Shengyou Wen, Wen Wang
Publikováno v:
Topology and its Applications. 209:120-133
Let X be a bounded metric space of finite Assouad dimension s. We prove that, for every α ∈ ( 0 , s ) , there is a countable subset of X of Assouad dimension α.