部分线性变系数EV模型估计的渐近正态性

研究非参数部分带有测量误差(EV)的部分线性变系数模型,综合局部纠偏方法和Profile最小二乘估计方法定义了模型中未知参数和系数函数的估计,并在适当条件下证明了它们的渐近性质,最后通过数值模拟研究了所提估计方法在有限样本下的实际表现。     

网络数据包到达速率的混沌特性分析及其短期预测

本文利用关联维法分析了以太网数据包到达速率数据的混沌特性，在此基础上，结合相空间重构技术，利用混沌时间序列的局域一阶预测法对其进行了预测，预测结果表明该混沌预测方法能够对网络数据包到达速率取得很好的预测效果．这为进一步研究网络流量提供了基础，也为网络数据包到达速率具有混沌特性提供了新的依据．     

基于损伤力学的疲劳全寿命数值预估方法

疲劳失效是影响结构件使用安全的主要问题,对疲劳寿命进行准确预测具有重要的工程意义。基于采用平均应力修正的损伤力学演化模型,结合有限元法建立了同时考虑裂纹萌生与扩展的疲劳全寿命数值预估方法。为了验证该方法,开展了不同应力水平下铝合金开孔板试样疲劳试验与疲劳数值模拟。结果表明,基于所建立的疲劳数值分析方法能够有效预测开孔板裂纹扩展过程及疲劳全寿命,预测寿命误差带在两倍以内。     

从加权Bloch空间到Qk(p,q)空间的复合算子

假设$\\phi$是单位圆$D$上一个解析自映射,$X$是单位圆$D$上一个Banach空间. 定义$X$上复合算子:$C_{\\phi}: C_{\\phi}(f)=f o \\phi$,对所有的$f\\in X$. 本文利用$K-$Carleson测度刻画了$B_{\\log}^{\\alpha}(B_{\\log,0}^{\\alpha})$空间到$Q_{k}(p, q)(Q_{k, 0}(p, q))$空间的复合算子的有界性,以及$B_{\\log}^{\\alpha}(B_{\\log,0}^{\\alpha})$空间到$Q_{k,0}(p, q)$空间的复合算子的有界性和紧性.     

On the notion of free will in the Free Will Theorem

The (Strong) Free Will Theorem (fwt) of Conway and Kochen (2009) on the one hand follows from uncontroversial parts of modern physics and elementary mathematical and logical reasoning, but on the other hand seems predicated on an undefined notion of free will (allowing physicists to “freely choose” the settings of their experiments). This makes the theorem philosophically vulnerable, especially if it is construed as a proof of indeterminism or even of libertarian free will (as Conway & Kochen suggest).However, Cator and Landsman (Foundations of Physics 44, 781–791, 2014) previously gave a reformulation of the fwt that does not presuppose indeterminism, but rather assumes a mathematically specific form of such “free choices” even in a deterministic world (based on a non-probabilistic independence assumption). In the present paper, which is a philosophical sequel to the one just mentioned, I argue that the concept of free will used in the latter version of the fwt is essentially the one proposed by Lewis (1981), also known as ‘local miracle compatibilism’ (of which I give a mathematical interpretation that might be of some independent interest also beyond its application to the fwt). As such, the (reformulated) fwt in my view challenges compatibilist free will à la Lewis (albeit in a contrived way via bipartite epr-type experiments), falling short of supporting libertarian free will.     

Three principles for canonical quantum gravity

We outline three principles that should guide us in the construction of a theory of canonical quantum gravity: (1) diffeomorphism invariance, (2) implementing the proper dynamics and related constraint algebra, (3) local Lorentz invariance. We illustrate each of them with its role in model calculations in loop quantum gravity.     

Fine ways to fail to secure local realism

Since he proved his theorem in 1982, Fine has been challenging the traditional interpretation of the experimental violation of the Bell Inequalities (BI). A natural interpretation of Fine's theorem is that it provides us with an alternative set of assumptions on which to place blame for the failure of the BI, and opens to a new interpretation of the violation of the BI. Fine has a stronger interpretation for his theorem. He claims that his result undermines the traditional interpretation in terms of local realism. The aim of this paper is to understand and to assess Fine's claim. We distinguish three different strategies that Fine uses in order to support his view. We show that none of these strategies is successful. Fine fails to prove that local realism is not at stake in the violation of the BI by quantum phenomena.     

加权门限秘密共享方案

为了解决现有不同权限秘密共享方案中子秘密的安全分发问题,基于RSA密码体制和中国剩余定理,提出了一个新的加权秘密共享方案.方案中,每个参与者仅需保存一个秘密份额便可实现秘密的共享.该方案不需要安全信道,算法能够保证信息安全传送,任何人都可验证每个参与者是否有欺诈行为.分析表明该方案降低了通信成本和具有可验证性.     

相对仿射平均曲率为负常数的欧氏完备超曲面

给定一凸区域及其上的光滑边值函数,本文可构造出具相对仿射负常平均曲率的欧氏完备的超曲面.     

基于Mean Shift模型的多粗差探测RAIM算法

针对当前接收机自主完备性监测(receiver autonomous integrity monitoring,RAIM)算法中存在多粗差探测识别能力较弱、计算效率不足等问题,提出一种基于Mean Shift(MS)模型的多粗差探测RAIM算法。首先利用QR奇偶检校法构建样本数据集和QR检验向量;其次基于MS模型估计样本密度中心,并以此作为MS检校向量,使用观测向量与MS检校向量的距离来评价观测值可靠程度,从而确定异常观测卫星;最后联合观测向量、MS和QR检校向量构建基于距离关系的权系数函数,对多个异常观测进行处理。实验结果表明,基于MS检校向量的粗差判别方法在多粗差存在的情况下,具有更灵敏的粗差识别能力;相比最小二乘残差法,新型RAIM算法改善了多粗差探测识别能力和计算效率,可有效提高多系统融合单点定位的可靠性。