Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Jiangwen Gu"'
Publikováno v:
Annales Fennici Mathematici
Let \(C\) be the middle-third Cantor set. Define \(C*C=\{x*y\colon x,y\in C\}\), where \(*=+,-,\cdot,\div\) (when \(*=\div\), we assume \(y\neq0\)). Steinhaus [17] proved in 1917 that \(C-C=[-1,1]\), \(C+C=[0,2]\). In 2019, Athreya, Reznick and Tyson
Publikováno v:
Journal of Mathematical Analysis and Applications. 478:357-367
Let $A,B\subset\mathbb{R}$. Define $$A\cdot B=\{x\cdot y:x\in A, y\in B\}.$$ In this paper, we consider the following class of self-similar sets with overlaps. Let $K$ be the attractor of the IFS $\{f_1(x)=\lambda x, f_2(x)=\lambda x+c-\lambda,f_3(x)
Publikováno v:
Journal of Mathematical Analysis and Applications. 491:124366
Let $(\mathcal{M}, c_k, n_k,\kappa)$ be a class of homogeneous Moran sets. Suppose $f(x,y)\in C^3$ is a function defined on $\mathbb{R}^2$. Given $E_1, E_2\in(\mathcal{M}, c_k, n_k,\kappa) $, in this paper, we prove, under some checkable conditions o
Publikováno v:
Fractals. 28:2050098
In this paper, we discuss a family of p.c.f. self-similar fractal networks which have reflection transformations. We obtain the average geodesic distance on the corresponding fractal in terms of finite pattern of integrals. With these results, we als
Publikováno v:
Fractals. 28:2050040
In this paper, we discuss a family of non-p.c.f. self-similar networks. Although the boundary of each fractal piece is not a finite set, we obtain the finite geometric patterns for the integral of geodesic distance on the self-similar measure, and th
Publikováno v:
Fractals. 27:1950110
This paper discusses the asymptotic formula of average distances on node-weighted Sierpinski skeleton networks by using the integral of geodesic distance in terms of self-similar measure on the Sierpinski gasket with respect to the weight vector.
Publikováno v:
Fractals. 27:1950049
It is of great interest to analyze geodesics in fractals. We investigate the structure of geodesics in [Formula: see text]-dimensional Sierpinski gasket [Formula: see text] for [Formula: see text], and prove that there are at most eight geodesics bet
Publikováno v:
Fractals. 27:1950008
The eigentime identity for random walks on networks is the expected time for a walker going from a node to another node. In this paper, our purpose is to calculate the eigentime identities of flower networks by using the characteristic polynomials of
Autor:
Lanlan Jia, Weishan Shao, Jiangwen Gu, Heng Wang, Pingping Huang, Yaoxuan Qian, Sisi Lv, Shoubao Yang
Publikováno v:
Mitochondrial DNA. Part A, DNA mapping, sequencing, and analysis. 27(3)
Hemibarbus is a genus of cyprinid fishes distributed in eastern Asia. In the present study, we report here the complete mitochondrial genome of the Hemibarbus sp.090914 (Cypriniformes: Cyprinidae). Our results show that the complete mitochondrial DNA
Autor:
Pingping Huang, Heng Wang, Sisi Lv, Xiarong Wang, Jiangwen Gu, Shoubao Yang, Xiaoxue Yang, Chen Li, Liping He
Publikováno v:
Mitochondrial DNA. 27:1393-1394
In this study, the complete mitochondrial genome of Abbottina rivularis was determined; the phylogenetic analysis with other individuals and closely related species of the gudgeons was carried out. The complete mitogenome of A. rivularis was 16,597 b