Wavelet Estimation in Heteroscedastic Model Under Censored Samples

Consider the heteroscedastic regression model Yi = g（xi） ＋ σiei, 1 ≤ i ≤ n, where σi^2 = f（ui）, here （xi, ui） being fixed design points, g and f being unknown functions defined on [0, 1], ei being independent random errors with mean zero. Assuming that Yi are censored randomly and the censored distribution function is known or unknown, we discuss the rates of strong uniformly convergence for wavelet estimators of g and f, respectively. Also, the asymptotic normality for the wavelet estimators of g is investigated.     

Fine-Tuning the Homometallic Interface of Au-on-Au Nanorods and Their Photothermal Therapy in the NIR-II Window

The localized surface plasmon resonance (LSPR) of plasmonic nanomaterials is highly dependent on their structures. Going beyond simple shape and size, further structural diversification demands the growth of non-wetting domains. Now, two new dimensions of synthetic controls in Au-on-Au homometallic nanohybrids are presented: the number of the Au islands and the emerging shapes. By controlling the interfacial energy and growth kinetics, a series of Au-on-AuNR hybrid structures are successfully obtained, with the newly grown Au domains being sphere and branched wire (nanocoral). The structural variety allowed the LSPR to be fine-tuned in full spectrum range, making them excellent candidates for plasmonic applications. The nanocorals exhibit black-body absorption and outstanding photothermal conversion capability in NIR-II window. In vitro and in vivo experiments verified them as excellent photothermal therapy and photoacoustic imaging agents.     

H型群上$p$-次Laplace算子的Hopf型引理和强极大值原理

本文首先推广了Capogna,Danielli和Garofalo关于p-次Laplace算子的径向解的一个重要公式,然后通过改进欧氏空间中证明Laplace算子的Hopf引理的方法,证明了H型群上p-次Laplace算子的Hopf型引理,进而证明了一个强极大值原理。     

基于模糊自适应强跟踪滤波的惯性/地磁组合导航方法

针对在量测噪声统计特性发生变化时,基于滤波算法的惯性/地磁组合导航系统存在精度下降甚至发散的问题,提出了一种基于模糊自适应强跟踪滤波算法的惯性/地磁组合导航方法,该方法通过制定模糊规则,实时监控系统残差变化,自适应地调整柔化因子的大小,即增强了滤波器对时变噪声的跟踪能力又保证了滤波器处理当前信息的能力.仿真结果表明:该方法能够很好地抑制纯惯性导航系统随时间累积的误差,而且在量测噪声统计特性发生变化时,系统误差没有出现明显的跳变,保证了整个导航系统的精度,提高了系统的鲁棒性.     

Hybrid projection method for generalized mixed equilibrium problems,variational inequality problems,and fixed point problems in Banach spaces

A new hybrid projection iterative scheme is introduced to approximate a common element of the solution set of a generalized mixed equilibrium problem, the solution set of a variational inequality problem, and the set of fixed points of a relatively weak nonexpansive mapping in the Banach spaces. The obtained results generalize and improve the recent results announced by many other authors.     

含强约束界面片状夹杂复合陶瓷热膨胀系数预报

以含强约束界面相片状夹杂复合陶瓷的细观结构为基础,建立含片状夹杂、强约束界面相、基体氛围和有效介质组成的四相模型,将片状夹杂、强约束界面相和基体氛围构成的三相胞元看作复合夹杂,根据Eshelby理论,确定了含同向片状夹杂复合陶瓷的有效热膨胀系数的解析表达式,复合陶瓷为横观各向同性,有2个独立的热膨胀系数.定量分析表明含同向片状夹杂的强约束界面复合陶瓷的有效热膨胀系数具有明显的尺度效应.     

Strong solutions to the incompressible magnetohydrodynamic equations

In this paper, we are concerned with strong solutions to the Cauchy problem for the incompressible Magnetohydrodynamic equations. By the Galerkin method, energy method and the domain expansion technique, we prove the local existence of unique strong solutions for general initial data, develop a blow‐up criterion for local strong solutions and prove the global existence of strong solutions under the smallness assumption of initial data. The initial data are assumed to satisfy a natural compatibility condition and allow vacuum to exist. Copyright © 2010 John Wiley & Sons, Ltd.     

不同分布两两NQD列的一类强大数定律

本文对一类相当广泛条件下的不同分布两两NQD列的部分和及乘积和强大数定律进行讨论,在更弱的条件下,推广了已有的几个最新结果,使之成为本文结论的推论,所得结论更具优越性,这些结论都是独立情形经典结果的推广.     

一般随机环境中二重随机游动的强大数定律

讨论了-般环境中二重随机游动的强泛函大数定律,给出了当过程几乎处处趋向于正无穷时的泛函大数定律成立的几个充分条件.     

一类马尔可夫骨架过程的强大数定律和中心极限定理

基于马尔可夫骨架过程极限分布的已有研究结果,本文运用波莱尔-康特立引理、更新理论、科尔莫哥洛夫的强大数定律以及独立同分布情形的中心极限定理等重要理论,分别给出了一类马尔可夫骨架过程对应的累积过程满足强大数定律和中心极限定理的充分条件.