期刊：
Journal of Statistical Planning and Inference,2014年146:102-112 ISSN：0378-3758
通讯作者：
Zuo, Guoxin
作者机构：
[He, Hua; Tang, Wan; Zuo, Guoxin] Univ Rochester, Dept Biostat & Computat Biol, Rochester, NY 14627 USA.;[Zuo, Guoxin] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China.
通讯机构：
[Zuo, Guoxin] C;Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China.
关键词：
Difference-based estimation;Double smoothing;Local linear regression;Partial linear model
摘要：
Statistical inference about a partial linear model includes two parts, one linear and the other nonparametric. The double smoothing method proposed by He and Huang (2009) is a progressive local smoothing method for nonparametric curve estimation. In this paper, we discuss its extension to partial linear models, accompanied with difference-based estimation method for the linear part. Asymptotic theory of the proposed method is developed. The results of simulation studies and real data examples demonstrate that our approach is effective even for data with moderate sample sizes.
作者机构：
[CHAO HUANG] School of Water Resources and Hydropow er Engineering, Wuhan University;[CHAO HUANG] College of Mathematics and Statistics,Central China Normal University
会议名称：
2014 International Conference on Management and Engineering(CME 2014)(2014管理与工程国际会议)
会议时间：
2014-05-24
会议地点：
上海
会议论文集名称：
2014 International Conference on Management and Engineering(CME 2014)(2014管理与工程国际会议)论文集
摘要：
In management science and decision-making, stepwise regression is an important method for selecting variables. This paper prove that variables don’t be eliminated thirdly by matrix elimination when va
期刊：
Journal of Algebra,2014年399:845-853 ISSN：0021-8693
通讯作者：
Zhou, Yuanyang
作者机构：
[Zhou, Yuanyang] Cent China Normal Univ, Dept Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Zhou, Yuanyang] C;Cent China Normal Univ, Dept Math & Stat, Wuhan 430079, Peoples R China.
关键词：
Finite group;Block;Rickard complex;Vertex
摘要：
In this paper, we characterize a Rickard complex, which induces a Rickard equivalence between the block algebras of a block b and its Brauer correspondent and whose vertices have the same order as defect groups of the block b. The homology of such a Rickard complex vanishes at all degree but degree q, and the homology at degree q induces a basic Morita equivalence between the block algebras in the sense of Puig. (C) 2013 Elsevier Inc. All rights reserved.
作者：
Kuo, David Li-Wei;Tsai, Ming-Cheng;Wong, Ngai-Ching;Zhang, Jun*
期刊：
Abstract and Applied Analysis,2014年2014(SI52):1-5 ISSN：1085-3375
通讯作者：
Zhang, Jun
作者机构：
[Tsai, Ming-Cheng; Wong, Ngai-Ching; Kuo, David Li-Wei] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan.;[Zhang, Jun] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
通讯机构：
[Zhang, Jun] C;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
关键词：
We study maps ϕ of positive operators of the Schatten p -classes ( 1 < p < + ∞ );which preserve the p -norms of convex combinations;that is;∥ t � + ( 1 - t ) σ ∥ p = ∥ t ϕ ( � ) + ( 1 - t ) ϕ ( σ ) ∥ p;σ ∈ � p + ( H ) 1;t ∈ [ 0;1 ] . They are exactly those carrying the form ϕ ( � ) = U � U * for a unitary or antiunitary U . In the case p = 2;we have the same conclusion whenever it just holds ∥ � + σ ∥ 2 = ∥ ϕ ( � ) + ϕ ( σ ) ∥ 2 for all the positive Hilbert-Schmidt class operators �;σ of norm 1 . Some examples are demonstrated. Published: 2014 First available in Project Euclid: 26 March 2014 zbMATH: 07022546 MathSciNet: MR3166627 Digital Object Identifier: 10.1155/2014/520795
作者机构：
[Li, Gongbao] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Li, Gongbao] C;Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
摘要：
We study the concentration and multiplicity of weak solutions to the Kirchhoff type equation with critical Sobolev growth, -(epsilon(2)a + epsilon b integral(R3) vertical bar del u vertical bar(2))del u + V(z)u = f(u) + u(5) in R-3, u is an element of H-1(R-3), u > 0 in R-3, where e is a small positive parameter and a, b > 0 are constants, f is an element of C-1(R+, R) is subcritical, V : R-3 -> R is a locally Holder continuous function. We first prove that for epsilon(0) > 0 sufficiently small, the above problem has a weak solution u(epsilon) with exponential decay at infinity. Moreover, u(epsilon) concentrates around a local minimum point of V in Lambda as epsilon -> 0. With minimax theorems and Ljusternik-Schnirelmann theory, we also obtain multiple solutions by employing the topological construction of the set where the potential V(z) attains its minimum.
期刊：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2014年34(2):437-459 ISSN：1078-0947
通讯作者：
Deng, Chao
作者机构：
[Deng, Chao] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China.;[Deng, Chao] Penn State Univ, Dept Math, State Coll, PA 16802 USA.;[Yao, Xiaohua] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
通讯机构：
[Deng, Chao] J;Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China.
摘要：
In this paper, we study the Cauchy problem of the 3-dimensional (3D) generalized Navier-Stokes equations (gNS) in the Triebel-Lizorkin spaces <(F)over dot>(-alpha,r)(q alpha) with (alpha, r) is an element of (1, 5/4) x [1,infinity] and q(alpha) = 3/alpha-1. Our work establishes a dichotomy of well-posedness and ill-posedness depending on r. Specifically, by combining the new endpoint bilinear estimates in (LxLT2)-L-q alpha, and L-T(infinity) <(F)over dot>(-alpha,1)(q alpha) and characterization of the Triebel-Lizorkin spaces via fractional semigroup, we prove well-posedness of the gNS in <(F)over dot>(-alpha,r)(q alpha) for r is an element of [1, 2]. Meanwhile, for any r is an element of (2, infinity], we show that the solution to the gNS can develop norm inflation in the sense that arbitrarily small initial data in <(F)over dot>(-alpha,r)(q alpha) can produce arbitrarily large solution after arbitrarily short time.
期刊：
Communications in Statistics - Theory and Methods,2014年43(10-12):2274-2285 ISSN：0361-0926
通讯作者：
Qin, Hong
作者机构：
[Ou, Zujun] Jishou Univ, Coll Math & Stat, Jishou, Peoples R China.;[Qin, Hong] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.;[Ou, Zujun; Cai, Xu] Cent China Normal Univ, Coll Phys Sci & Technol, Wuhan 430079, Peoples R China.
通讯机构：
[Qin, Hong] C;Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
摘要：
The objective of this article is to study the issue of employing the uniformity criterion measured by wrap-around L2-discrepancy to assess the optimal foldover plans. For mixed two- and three-level fractional factorials as the original designs, general foldover plan and combined design under a foldover plan are defined, and the equivalence between any foldover plan and its complementary foldover plan is investigated. A lower bound of wrap-around L2-discrepancy of combined designs under a general foldover plan is obtained, which can be used as a benchmark for searching optimal foldover plans. Moreover, it also provides a theoretical justification for optimal foldover plans in terms of uniformity criterion.
作者机构：
Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan,
China;School of Science, Wuhan Institute of Technology, Wuhan, China
关键词：
Von;Neumann-Landau;Wave;Equation;Strichartz;ESTIMATE;CAUCHY;Problem;Strichartz Estimate;Cauchy Problem
摘要：
In present paper we prove the local well-posedness for Von Neumann-Landau wave equation by the T. Kato’s method.
期刊：
Ars Combinatoria,2014年114:111-128 ISSN：0381-7032
通讯作者：
Zhu, Zhongxun
作者机构：
[Li, Shuchao] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.;[Zhu, Zhongxun] South Cent Univ Nationalities, Dept Comp Sci, Wuhan 430074, Peoples R China.
摘要：
The Hosoya index of a graph is defined as the total number of the matchings of the graph. In this paper, we determine the lower bounds for the Hosoya index of unicyclic graph with a given diameter. The corresponding extremal graphs are characterized.
期刊：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2014年102(6):1062-1079 ISSN：0021-7824
通讯作者：
Feng, De-Jun
作者机构：
[Feng, De-Jun] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China.;[Huang, Wen] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China.;[Rao, Hui] Cent China Normal Univ, Dept Math, Wuhan 430070, Peoples R China.
通讯机构：
[Feng, De-Jun] C;Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China.
关键词：
C1-embedding;C1;Affine embedding;Self-similar sets;Central Cantor sets
摘要：
Let E,F⊂Rd be two self-similar sets. Under mild conditions, we show that F can be C1-embedded into E if and only if it can be affinely embedded into E; furthermore if F cannot be affinely embedded into E, then the Hausdorff dimension of the intersection E∩f(F) is strictly less than that of F for any C1-diffeomorphism f on Rd. Under certain circumstances, we prove the logarithmic commensurability between the contraction ratios of E and F if F can be affinely embedded into E. As an application, we show that dimHE∩f(F)<min{dimHE,dimHF} when E is any Cantor-p set and F any Cantor-q set, where p,q⩾2 are two integers with logp/logq∉Q. This is related to a conjecture of Furstenberg about the intersections of Cantor sets.
Soit E et F deux ensembles auto-similaires dans Rd. Sous des hypothèses raisonnables, on montre qu'il existe un plongement C1 de F dans E si et seulement s'il existe un tel plongement affine ; de plus, s'il n'existe pas de plongement affine de F dans E, alors pour tout difféomorphisme C1 de Rd la dimension de Hausdorff de l'intersection E∩f(F) est strictement inférieure à celle de F. Dans certains cas, on montre que les logarithmes des facteurs de contraction de E et F sont commensurables lorsqu'il existe un plongement affine de F dans E. En application, on montre que dimHE∩f(F)<min{dimHE,dimHF} quand E est un p-ensemble de Cantor et F est un q-ensemble de Cantor, où p et q sont des nombres entiers ⩾2 tels que logp/logq∉Q. Ceci est relié à une conjecture de Furstenberg sur les intersections d'ensembles de Cantor.
