Phase-synchronisation in continuous flow models of production networks

To improve their position at the market, many companies concentrate on their core competences and hence cooperate with suppliers and distributors. Thus, between many independent companies strong linkages develop and production and logistics networks emerge. These networks are characterised by permanently increasing complexity, and are nowadays forced to adapt to dynamically changing markets. This factor complicates an enterprise-spreading production planning and control enormously. Therefore, a continuous flow model for production networks will be derived regarding these special logistic problems. Furthermore, phase-synchronisation effects will be presented and their dependencies to the set of network parameters will be investigated.     

分布视角下的异质性群体收入分配格局研究

本文运用反映不同收入群体异质性的混合分布测度方法估计收入分布,对收入分布拟合效果的评判方法进行了探讨,在利用假设检验思想从收入变动角度给出一种收入群体界定标准的基础上,从规模上刻画我国收入分配格局,并运用夏普里分解规则对影响格局形成的宏观因素进行了解构。对CHNS(1989-2011)住户调查数据实证分析的结果表明,近年来城乡居民收入分布逐渐呈多峰特征且城镇更为明显;城镇和农村居民不同收入群体间的相互作用相当,低收入群体内部收入的增长可有效促进自身规模的缩小,中收入群体内部收入的增长虽同样有助于低收入群体规模的缩小但对自身群体规模变动影响不大,高收入群体内部收入的增长则将有助于自身规模的增大,而各群体内收入分配差距的扩大多会阻碍"橄榄型"格局的形成。     

平均非扩张映射的公共不动点性质

研究了平均非扩张型映射T:‖Tx-Ty‖≤a‖x-y‖+b‖x-Tx‖+c‖x-Ty‖,(x,y∈K,a,b,c≥0,a+b+c≤1)的公共不动点的存在性和唯一性.得到平均非扩张型映射T1和T2满足T1T2=T2T1,则T1T2存在唯一的不动点,并且T1和T2存在唯一的公共不动点.本文结果是近期相关文献结果的推广.     

卟啉-碳纳米管复合物研究进展

碳纳米管是具有一维纳米结构的新型纳米材料,具有许多独特的物理、化学性质.卟啉对可见光具有强烈吸收,其大π共轭体系使其具有良好的电子给予能力,可作为人工光合作用体系的光捕捉单元.将具有电子接受能力的碳纳米管与卟啉结合起来,通过卟啉对碳纳米管进行共价和非共价修饰,可以改善碳纳米管在溶剂中的溶解分散性能,同时实现卟啉和碳纳米管之间有效的电子传递,形成具有独特光电和光学性质卟啉-碳纳米管复合物.该类物质具备良好的应用前景,是碳纳米管和卟啉研究中的热点.就近年来该类复合物的构筑方法及性质研究等方面的进展进行了综述.     

Fixed points of smoothing transformation in random environment

At each time n\in \mathbb{N},\mathrm{l}\mathrm{e}\mathrm{t}{\overline{Y}}^{(n)}(\xi )=(y_1^{(n)}(\xi ),y_2^{(n)}(\xi ),\cdots ) be a random sequence of non-negative numbers that are ultimately zero in a random environment\xi \text{=}（{\xi }_n{）}_{n\in \mathbb{N}}. The existence and uniqueness of the nonnegative fixed points of the associated smoothing transformation in random environment are considered. These fixed points are solutions to the distributional equation for a.e.\xi ,Z(\xi )\stackrel{\text{d}}{=}{\sum }_{i\in \mathbb{N}+}{y}_i^{(\mathrm{0})}(\xi )Z_i^{(\mathrm{1})}(\xi ),where ｛Z_i^{(\mathrm{1})}:i\in {\mathbb{N}}_{+}｝ are random variables in random environment which satisfy that for any environment\xi; under P_{\xi }; ｛Z_i^{(\mathrm{1})}:i\in {\mathbb{N}}_{+}｝are independent of each other and {\bar{Y}}^{(\mathrm{0})}(\xi ), and have the same conditional distribution P_{\xi }(Z_i^{(1)}(\xi )\in \cdot )=P_{T\xi }(Z(T\xi )\in \cdot ) where T is the shift operator. This extends the classical results of J. D. Biggins [J. Appl. Probab., 1977, 14: 25-37] to the random environment case. As an application, the martingale convergence of the branching random walk in random environment is given as well.     

Covariance operator estimation of a functional autoregressive process with random coefficients

We deal with the covariance and cross covariance operators estimation of a Hilbert space valued autoregressive process with random coefficients. We establish bounds for empirical estimators in mean square error and almost sure convergence in Hilbert–Schmidt norm. Consistent estimators of the eigenvalues are also derived.     

Semiparametric Bayesian inference for mean-covariance regression models

In this paper, we propose a Bayesian semiparametric mean-covariance regression model with known covariance structures. A mixture model is used to describe the potential non-normal distribution of the regression errors. Moreover, an empirical likelihood adjusted mixture of Dirichlet process model is constructed to produce distributions with given mean and variance constraints. We illustrate through simulation studies that the proposed method provides better estimations in some non-normal cases. We also demonstrate the implementation of our method by analyzing the data set from a sleep deprivation study.     

Laplace Transform Method for the Ulam Stability of Linear Fractional Differential Equations with Constant Coefficients

Using the Laplace transform method, this paper deals with the Ulam stability of linear fractional differential equations with constant coefficients.