Resistance in Higher-Dimensional Sierpiński Carpets

We study the effective resistance between disjoint compact sets relative to the n-th level approximation F _n to the generalized Sierpiski carpet in d dimensions. This yields a simple criterion for determining recurrence of simple random walk on the associated pre-fractal graph in terms of the resistance scaling factor.     

各国信息产业综合水平的比较

使用因子分析法对世界 4 1个国家的信息产业发展作横向关联和时间纵向的综合水平比较 ,在定量分析的基础上 ,提出了自己的观点和看法。     

A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd–Stokes problem

In this article, we consider an augmented fully mixed variational formulation that has been recently proposed for the nonisothermal Oldroyd–Stokes problem, and develop an a posteriori error analysis for the 2‐D and 3‐D versions of the associated mixed finite element scheme. More precisely, we derive two reliable and efficient residual‐based a posteriori error estimators for this problem on arbitrary (convex or nonconvex) polygonal and polyhedral regions. The reliability of the proposed estimators draws mainly upon the uniform ellipticity of the bilinear forms of the continuous formulation, suitable assumptions on the domain and the data, stable Helmholtz decompositions, and the local approximation properties of the Clément and Raviart–Thomas operators. On the other hand, inverse inequalities, the localization technique based on bubble functions, and known results from previous works are the main tools yielding the efficiency estimate. Finally, several numerical results confirming the properties of the a posteriori error estimators and illustrating the performance of the associated adaptive algorithms are reported.     

基于动态因子结构的贝叶斯分位面板协整研究

针对传统面板协整检验在建模过程中易受异常值影响以及其原假设设置的主观选择问题,本文利用动态公共因子刻画面板数据潜在的截面相关结构,提出基于动态因子的截面相关结构的贝叶斯分位面板协整检验,结合各个主要分位数水平下参数的条件后验分布,设计结合卡尔曼滤波的Gibbs抽样算法,进行贝叶斯分位面板协整检验;并进行Monte Carlo仿真实验验证贝叶斯分位面板协整检验的可行性与有效性。同时,采用中国各省金融发展和经济增长的面板数据进行实证研究,结果发现在各主要分位数水平下中国金融发展和经济增长之间具有协整关系。研究结果表明:贝叶斯分位面板协整检验方法避免了传统面板数据协整方法由于原假设设置不同而发生误判的问题,克服了异常值的影响,能够提供全面准确的模型参数估计和协整检验结果。     

Multifold factorizations of cyclic groups into subsets

Let $(G,+)$ be an abelian group. A finite multiset A over G is said to give a λ-fold factorization of G if there exists a multiset B over G such that each element of G occurs λ times in the multiset $A+B:=\{a+b:a\in A,b\in B\}$. In this article, restricting G to a cyclic group, we will provide sufficient conditions on a given multiset A under which the exact value or an upper bound of the minimum multiplicity λ of a factorization of G can be given by introducing a concept of ‘lcm-closure’. Furthermore, a couple of properties on a given factor A will be shown when A has a prime or prime power order (cardinality). A relation to multifold factorizations of the set of integers will be also glanced at a general perspective.     

Analysis of risk bounds in partially specified additive factor models

The study of worst case scenarios for risk measures (e.g. the Value at Risk) when the underlying risk vector (or portfolio of risks) is not completely specified is a central topic in the literature on robust risk measurement. In this paper we discuss partially specified factor models as introduced in Bernard et al. (2017) in more detail for the class of additive factor models which admit more explicit results. These results allow to describe in more detail the reduction of risk bounds obtainable by this method in dependence on the degree of positive resp. negative dependence induced by the systematic risk factors. The insight may help in applications of this reduction method to get a better qualitative impression on the range of influence of the partially specified factor structure.     

关于Hardy-Hilbert不等式的新推广

给出一个涉及n个函数的且带有参数λ的Hardy-Hilbert积分不等式和级数不等式,并证明在λ=1时,其常数因子是最佳的。     

基于MMSE先验信噪比估计的语音增强

针对传统最小均方误差（MMSE）沿爵增强方法无法准确处理快速语音的变化问题，提出了一种堆于MMSE估计先验信噪比的语音增强方法，利用该笔法估计每帧语音俯号的每一个频率分量上的平滑系数αn,k。进行平均反馈估计，从而得到更加接近于真实情况的先验信噪比，进而使用MMSE方法进行语音的增强，提高了对于快速变化语肯的增强效果，实验结果农明，本方法比传统MMSE语青增强方法在增强性能上提高了近2dB。     

防止温度应力下海底管线发生整体屈曲的工程措施研究

为减小油气输送难度和避免原油固化,石油、天然气通常在高温高压下输送．输送过程中的高温和高压导致海底管线中产生较大的附加应力,附加应力的不断累积造成管线发生整体屈曲．对于埋地的海底管线通常会产生竖向屈曲大变形而影响使用甚至破坏．因此,需对有可能产生整体屈曲的管线采取工程防护措施．结合我国海洋工程中管线常用的铺设及保护措施,对处于保护状态下管线由温度应力引起的整体屈曲特性进行理论分析和数值推导,对沟槽保护、沟槽掩埋保护以及压块保护措施的有效性进行了系统分析和对比．     

Novel approach for modelling of nanomachining using a mesh-less method

In this paper, a mesh-less method, called Smoothed Particle Hydrodynamics (SPH) is used to simulate the nanomachining operation in order to assist with the understanding of the fundamental mechanisms of nano scale material deformation and the characteristics of the post machined surface. An elasto-plastic nano-machining analysis is used to form a nano-groove using a conical tool on a copper specimen. The SPH solutions are validated against nano scale machining experiments conducted using a nanoindenter. The simulated results showed that the normal force is greater than the cutting force in this nano scale machining operation, which is consistent with the experimental results. Both the ploughing and cutting mechanisms were observed in these machining conditions and increased with the increase of the depth of cut. Moreover, the results reveal that the larger negative rake angle reduced the ploughing mechanism and caused higher residual stress and strain along the machined surface. Therefore, the effect of machining parameters on the nano deformation mechanism and the quality of the machined surface can be rapidly assessed using SPH.