期刊：
Journal of Function Spaces and Applications,2013年 ISSN：2090-8997
通讯作者：
Li, F
作者机构：
[Li, Fang; Wang, Huiwen] Yunnan Normal Univ, Sch Math, Kunming 650092, Peoples R China.;[Zhang, Jun] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构：
[Li, F ] ;Yunnan Normal Univ, Sch Math, Kunming 650092, Peoples R China.
摘要：
We obtain the multiplicative perturbation theorems for convoluted C-cosine functions (resp., convoluted C-semigroups) and n-times integrated C-cosine functions ( resp., n-times integrated C-semigroups) for n is an element of N. Moreover, we obtain some new results for perturbations on C-cosine functions ( resp., C-semigroups). Some examples are presented.
期刊：
Advances in Mathematics,2013年242:187-208 ISSN：0001-8708
通讯作者：
He, Xing-Gang
作者机构：
[Dai, Xin-Rong] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China.;[He, Xing-Gang] Cent China Normal Univ, Coll Math & Stat, Wuhan 430079, Peoples R China.;[Lai, Chun-Kit] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada.
通讯机构：
[He, Xing-Gang] C;Cent China Normal Univ, Coll Math & Stat, Wuhan 430079, Peoples R China.
关键词：
Cantor measures;Spectral measures;Spectra;Trees
摘要：
We consider equally-weighted Cantor measures mu(q,b) arising from iterated function systems of the form b(-1)(x + i), i = 0, 1, ..., q - 1, where q < b. We classify the (q, b) so that they have infinitely many mutually orthogonal exponentials in L-2(mu(q,b)). In particular, if q divides b, the measures have a complete orthogonal exponential system and hence spectral measures. Improving the construction by Dutkay et al. (2009) [3], we characterize all the maximal orthogonal sets Lambda when q divides b via a maximal mapping on the q-adic tree in which all elements in Lambda are represented uniquely in finite b-adic expansions and we can separate the maximal orthogonal sets into two types: regular and irregular sets. For a regular maximal orthogonal set, we show that its completeness in L-2(mu(q,b)) is crucially determined by the certain growth rate of non-zero digits in the tail of the b-adic expansions of the elements. Furthermore, we exhibit complete orthogonal exponentials with zero Beurling dimensions. These examples show that the technical condition in Theorem 3.5 of Dutkay et al. (2011) [4] cannot be removed. For an irregular maximal orthogonal set, we show that under some conditions, its completeness is equivalent to that of the corresponding regularized mapping. (C) 2013 Elsevier Inc. All rights reserved.
期刊：
SIAM JOURNAL ON DISCRETE MATHEMATICS,2013年27(2):597-618 ISSN：0895-4801
通讯作者：
Law, Ka Ho
作者机构：
[Hu, Zhiquan] Cent China Normal Univ, Fac Math & Stat, Wuhan, Peoples R China.;[Law, Ka Ho; Zang, Wenan] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China.
通讯机构：
[Law, Ka Ho] U;Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China.
摘要：
Let G = (V-1, V-2, E) be a balanced bipartite graph with 2n vertices. The bipartite binding number of G, denoted by B(G), is defined to be n if G = K-n,K-n and min(i is an element of {1,2}) min (empty set not equal S subset of Vi vertical bar N(S)vertical bar < n) vertical bar N(S)vertical bar/vertical bar S vertical bar otherwise. We call G bipancyclic if it contains a cycle of every even length m for 4 <= m <= 2n. The purpose of this paper is to show that if B(G) > 3/2 and n >= 139, then G is bipancyclic; the bound 3/2 is best possible in the sense that there exist infinitely many balanced bipartite graphs G that have B(G) = 3/2 but are not Hamiltonian.
期刊：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2013年23(10):1350164 ISSN：0218-1274
通讯作者：
Huang, Jicai
作者机构：
[Gong, Yijun; Huang, Jicai] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.;[Chen, Jing] Univ Miami, Dept Math, Coral Gables, FL 33124 USA.
通讯机构：
[Huang, Jicai] C;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
关键词：
Predator–prey system of Holling and Leslie type;constant-yield harvesting;cusp of codimension at least 4;Hopf bifurcation;Bogdanov–Takens bifurcations of codimensions 2 and 3
期刊：
PACIFIC JOURNAL OF MATHEMATICS,2013年266(1):221-255 ISSN：0030-8730
通讯作者：
Zhao, Quanting
作者机构：
[Zhao, Quanting] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Rao, Sheng] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China.;[Zhao, Quanting; Rao, Sheng] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China.
通讯机构：
[Zhao, Quanting] C;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
关键词：
Differentials on riemann surfaces;Moduli of riemann surfaces;Period matrices;Teichmüller theory;Variation of hodge structures
摘要：
This paper studies some geometric aspects of moduli of curves Mg, using as a tool the deformation formula of holomorphic one-forms. Quasi-isometry guarantees the L2 convergence of deformation of holomorphic one-forms, which is a kind of global result. After giving the period map a full expansion, we can also write out the Siegel metric, curvature and second fundamental form of a nonhyperelliptic locus of Mg in a quite detailed manner, while gaining some understanding of a totally geodesic manifold in a nonhyperelliptic locus.
期刊：
Abstract and Applied Analysis,2013年2013:1-2 ISSN：1085-3375
通讯作者：
Xiang, Zhong-Qi
作者机构：
[Xiang, Zhong-Qi; Xiang, ZQ] Cent China Normal Univ, Coll Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Xiang, Zhong-Qi] C;Cent China Normal Univ, Coll Math & Stat, Wuhan 430079, Peoples R China.
关键词：
The continuous g-frames in Hilbert C * -modules were introduced and investigated by Kouchi and Nazari (2011). They also studied the continuous g-Riesz basis and a characterization for it was presented by using the synthesis operator. However;we found that there is an error in the proof. The purpose of this paper is to improve their result by introducing the so-called modular continuous g-Riesz basis. Published: 2013 First available in Project Euclid: 27 February 2014 zbMATH: 1282.46051 MathSciNet: MR3055864 Digital Object Identifier: 10.1155/2013/243453
期刊：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2013年141(8):2859-2868 ISSN：0002-9939
通讯作者：
Cheng, Liang
作者机构：
[Cheng, Liang] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Zhu, Anqiang] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China.
通讯机构：
[Cheng, Liang] H;Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
关键词：
Ricci flow;weighted forward reduced volume;Type III singularities;gradient expanding soliton
摘要：
In this paper, we introduce the weighted forward reduced volume of Ricci flow. The weighted forward reduced volume, which is related to expanders of Ricci flow, is well-defined on noncompact manifolds and monotone nonincreasing under Ricci flow. Moreover, we show that, just the same as Perelman's reduced volume, the weighted reduced volume entropy has the value $(4\mathrm{\pi }{)}^{\frac{\mathrm{n}}{2}}$ if and only if the Ricci flow is the trivial flow on flat Euclidean space.
作者机构：
[Wang, Chengyong] Hubei Univ Arts & Sci, Sch Math & Comp Sci, Xiangyang 441053, Peoples R China.;[Li, Shuchao; Yan, Lixia] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Yan, Lixia] C;Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
摘要：
A tricyclic graph is a connected graph in which the number of edges equals the number of vertices plus two. Let J(n)(g) is be the class of all n-vertex tricyclic graphs with girth g. This paper determines the unique graph with the maximal Laplacian spectral radius among all graphs in J(n)(g) with exactly three (resp. four) cycles. Furthermore, the upper bound of the Laplacian spectral radius and the extremal graph in J(n)(g) are also obtained, where g is even.
期刊：
Statistics & Probability Letters,2013年83(9):2060-2066 ISSN：0167-7152
通讯作者：
Xie, Minyu
作者机构：
[Xie, Minyu; Chen, Wangxue; Wu, Ming] Cent China Normal Univ, Dept Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Xie, Minyu] C;Cent China Normal Univ, Dept Math & Stat, Wuhan 430079, Peoples R China.
关键词：
Ranked set sample;Moving extremes ranked set sampling;Maximum likelihood estimator
摘要：
A modification of ranked set sampling (RSS) called moving extremes ranked set sampling (MERSS) is considered for the estimation of the scale parameter of scale distributions. A maximum likelihood estimator (MLE) is studied and its properties are obtained. We prove the MLE is an equivariant estimator under scale transformation. In order to give more insight into the performance of MERSS with respect to (w.r.t.) simple random sampling (SRS), the asymptotic efficiency of the MLE using MERSS w.r.t. that using SRS is computed for some usual scale distributions. The relative results show that the MLE using MERSS can be real competitors to the MLE using SRS, when the same sample size is used. (C) 2013 Elsevier B.V. All rights reserved.
