期刊：
Australasian Journal of Combinatorics,2013年55:121-130 ISSN：1034-4942
通讯作者：
Xia, T.
作者机构：
School of Mathematics and Statistics, Central China Normal University, Wuhan, Hubei 430079, China;School of Science, Beijing Jiaotong University, Beijing, China;School of CS and SE, Informatics University of Wollongong, NSW 2522, Australia
通讯机构：
School of CS and SE, Informatics University of Wollongong, Australia
摘要：
In this paper we construct OD(4pq~r(q+1); pq~r, pq~r, pq~r, pq~r, pq~(r+1), pq~(r+1), pq~(r+1), pq~(r+1)) for each core order q ≡ 3(mod 4), r ≥ 0 or q = 1, p odd, p ≤ 21 and p ∈ {25, 49}, and COD(2q~r(q+1); q~r, q~r, q~(r+1), q~(r+1)) for any prime power q ≡ 1(mod 4) (including q = 1), r ≥ 0.
作者机构：
[Zhang, Guanghui] Luoyang Normal Univ, Sch Math Sci, Luoyang 471022, Peoples R China.;[Liu, Hongwei] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Zhang, Guanghui] L;Luoyang Normal Univ, Sch Math Sci, Luoyang 471022, Peoples R China.
关键词：
self-dual code;group code;permutation code;formal power series ring;finite principal ideal ring
摘要：
In this paper, we study self-dual permutation codes over formal power series rings and finite principal ideal rings. We first give some results on the torsion codes associated with the linear codes over formal power series rings. These results allow for obtaining some conditions for non-existence of self-dual permutation codes over formal power series rings. Finally, we describe self-dual permutation codes over finite principal ideal rings by examining permutation codes over their component chain rings.
摘要：
In this article, the Rosenbloom-Tsfasman metric of matrix product codes over finite commutative rings is studied and the lower bounds for the minimal RosenbloomTsfasman distances of the matrix product codes are obtained. The lower bounds of the dual codes of matrix product codes over finite commutative Frobenius rings are also given.
期刊：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,2013年143(4):871-880 ISSN：0308-2105
通讯作者：
Ma, Li
作者机构：
[Ma, Li] Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China.;[Cheng, Liang] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Ma, Li] H;Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China.
摘要：
In this paper, we study the global existence of positive solutions to the norm-preserving non-local heat flow of the porous-media type equations partial derivative(t)u = Delta u(r) + lambda(t)u(p), M x (0, infinity) on the compact Riemannian manifold (M, g) with the Cauchy data u(0) > 0 on M, where r >= 1, p > 1 and lambda(t) is chosen to make the L-2-norm of the solution u (or a power of u) constant. We show that the limit is an eigenfunction for the Laplacian operator. We use some tricky estimates through the Sobolev imbedding theorem and the Moser iteration method.
期刊：
Journal of Multivariate Analysis,2013年119:71-80 ISSN：0047-259X
通讯作者：
Zhao, Hui
作者机构：
[Zhang, Haixiang; Wang, Dehui; Sun, Jianguo] Jilin Univ, Sch Math, Changchun 130012, Peoples R China.;[Zhao, Hui] Cent China Normal Univ, Dept Stat, Wuhan 430079, Peoples R China.;[Sun, Jianguo] Univ Missouri, Dept Stat, Columbia, MO 65211 USA.;[Kim, KyungMann] Univ Wisconsin, Dept Biostat & Med Informat, Madison, WI 53792 USA.;[Kim, KyungMann] Univ Wisconsin, Dept Stat, Madison, WI 53792 USA.
通讯机构：
[Zhao, Hui] C;Cent China Normal Univ, Dept Stat, Wuhan 430079, Peoples R China.
关键词：
Estimating equation;Informative observation process;Marginal mean model;Model checking
摘要：
Multivariate panel count data arise in event history studies on recurrent events if there exist several related events and study subjects can be examined or observed only at discrete time points instead of over continuous periods. In these situations, a complicated issue that may arise is that the observation time points or process may be related to the underlying recurrent event process of interest. That is, we have informative observation processes. It is obvious that to perform a valid analysis, both the relationship among different types of recurrent events and the informative observation process need to be taken into account. To address these, we propose a robust joint modeling approach. For the estimation of regression parameters, an estimating equation-based inference procedure is developed and the asymptotic properties of the resulting estimates are established. Numerical studies indicate that the proposed approach works well for practical situations and the methodology is applied to a skin cancer study that motivates this study. (C) 2013 Elsevier Inc. All rights reserved.
关键词：
We are concerned with a 3D chemotaxis model arising from biology;which is a coupled hyperbolic-parabolic system. We prove the global existence of a strong solution when H2 -norm of the initial perturbation around a constant state is sufficiently small. Moreover;if additionally;L1 -norm of the initial perturbation is bounded;the optimal convergence rates are also obtained for such a solution. The proofs are obtained by combining spectral analysis with energy methods. Published: 2013 First available in Project Euclid: 14 March 2014 zbMATH: 06950646 MathSciNet: MR3142581 Digital Object Identifier: 10.1155/2013/391056
摘要：
We are concerned with a 3D chemotaxis model arising from biology, which is a coupled hyperbolic-parabolic system. We prove the global existence of a strong solution when H~2-norm of the initial perturbation around a constant state is sufficiently small. Moreover, if additionally, L~1-norm of the initial perturbation is bounded; the optimal convergence rates are also obtained for such a solution. The proofs are obtained by combining spectral analysis with energy methods.
期刊：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2013年365(7):3831-3850 ISSN：0002-9947
通讯作者：
Lai, Chun-Kit
作者机构：
[Lau, Ka-Sing; Lai, Chun-Kit] Chinese Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China.;[Rao, Hui] Cent China Normal Univ, Dept Math, Wuhan, Peoples R China.;[Lai, Chun-Kit] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada.
通讯机构：
[Lai, Chun-Kit] M;McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada.
摘要：
We study the structure of the digit sets {\mathcal D} for the integral self-similar tiles T(b,{\mathcal {D}}) (we call such a {\mathcal D} a tile digit set with respect to b). So far the only available classes of such tile digit sets are the complete residue sets and the product-forms. Our investigation here is based on the spectrum of the mask polynomial P_{\mathcal D}, i.e., the zeros of P_{\mathcal D} on the unit circle. By using the Fourier criteria of self-similar tiles of Kenyon and Protasov, as well as the algebraic techniques of cyclotomic polynomials, we characterize the tile digit sets through some product of cyclotomic polynomials (kernel polynomials), which is a generalization of the product-form to higher order.
摘要：
In this paper we prove that if there are strongly disjoint T-matrices of order t and suitable T-matrices of order t', there are T-matrices of order tt'. We also show that there exist strongly disjoint T-matrices of order t = 73, 79, 113 and (2m+p), p odd, where m+p, m+p, m, m are lengths of base sequences, and give some new constructions of suitable T-matrices of order t = 9, 13, 17, 19, 21, 25. This generalizes the work of [13]. (C) 2012 Elsevier Inc. All rights reserved.
期刊：
Journal of Complexity,2013年29(3-4):283-301 ISSN：0885-064X
通讯作者：
Fang, Kai-Tai
作者机构：
[Zhou, Yong-Dao] Sichuan Univ, Coll Math, Chengdu 610064, Peoples R China.;[Fang, Kai-Tai] Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China.;[Fang, Kai-Tai] BNU HKBU United Int Coll, Div Sci & Technol, Zhuhai 519085, Peoples R China.;[Ning, Jian-Hui] Cent China Normal Univ, Coll Math & Stat, Wuhan 430079, Peoples R China.
