带阻尼的随机浅水波方程的随机吸引子

研究了在H~1(R)中带阻尼的随机浅水波方程的随机吸引子的存在性.主要工具是Fourier限制范数方法以及将解分解为衰减部分与正则部分.     

Frequentistic approximations to Bayesian prevision of exchangeable random elements

Posterior and predictive distributions for m future trials, given the first n elements of an infinite exchangeable sequence ${\tilde{\xi }}_1,{\tilde{\xi }}_2,\dots$, are considered in a nonparametric Bayesian setting. The former distribution is compared to the unit mass at the empirical distribution ${\tilde{\mathfrak{e}}}_n:=\frac{1}{n}{\sum }_{i=1}^n{\delta }_{{\tilde{\xi }}_i}$ of the n past observations, while the latter is compared to the m-fold product ${\tilde{\mathfrak{e}}}_n^m$. Comparisons are made by means of distinguished probability distances inducing topologies that are equivalent to (or finer than) the topology of weak convergence of probability measures. After stating almost sure convergence to zero of these distances as n goes to infinity, the paper focuses on the analysis of the rate of approach to zero, so providing a quantitative evaluation of the approximation of posterior and predictive distributions through their frequentistic counterparts ${\delta }_{{\tilde{\mathfrak{e}}}_n}$ and ${\tilde{\mathfrak{e}}}_n^m$, respectively. Characteristic features of the present work, with respect to more common literature on Bayesian consistency, are: first, comparisons are made between entities which depend on the n past observation only; second, the approximations are studied under the actual (exchangeable) law of the ${\tilde{\xi }}_n$'s, and not under hypothetical product laws ${\mathfrak{p}}_0^{\infty }$, as ${\mathfrak{p}}_0$ varies among the admissible determinations of a random probability measure.     

有机半导体Terazulene单晶双极电荷传输性质的理论研究

利用密度泛函方法计算Terazulene单晶的重组能和分子间电子耦合,结合Marcus电荷转移速率理论以及随机行走技术模拟电荷迁移率,分别研究Terazulene单晶中电子与空穴的角分辨各向异性迁移率及平均迁移率.结果表明,Terazulene单晶具有均衡的电子与空穴传输性质,并分析了具体原因.由于p型有机半导体Naphthodithiophene(NDT)的分子共轭长度与Terazulene接近,通过比较Terazulene单晶和NDT单晶中电荷传输的差异,从理论上理解分子结构对有机半导体材料电荷传输性能的影响.     

A novel blind spatial-based random access to pilots (BSB-RAP) in overloaded massive MIMO systems

In this study, to increase the success rate of active user admission in overloaded massive multi-input multi-output (MIMO) systems, a new spatially based random access to pilots (RAP) is proposed to assign orthogonal pilots to the users requesting network access. Therefore, by increasing the acceptance rate of users in a cell, this approach reduces the training overhead and waste of resources. In the massive MIMO for crowd scenarios, the main issue is the limited number of available orthogonal pilots employed by the users in the channel estimation process. This novel approach as spatially based random access enables us to have more connected users during every coherence interval (CI) despite the mentioned limitation. Intrinsic angular domain sparsity of massive MIMO channels and the sporadic traffic of users can help us obtain the spatial features of active UEs in a blind continuous compressed sensing (CCS) approach. Proposed approach is to use a continuous compressed sensing technique based on a prior optimization that provides users’ angle of arrival (AoA) and an innovative space-based RAP protocol to assign orthogonal pilots to active users in coherent transmission. Unlike the previous works, this strategy does not need to limit the number of users to the number of available orthogonal pilots due to the employed spatial degrees of freedom.     

纳升液相色谱-质谱分析方法的重现性对尿液多肽组分析结果的影响

多肽组学是蛋白质组学技术的延伸和扩展,在医学和生物学研究中的应用日益广泛,但是,多肽组鉴定方法的重现性对实验结果的影响目前尚不清楚.本研究利用纳升液相色谱-高分辨质谱对健康人的尿液多肽组进行了7次平行分析,考察图谱数目、图谱利用率、鉴定的肽段数目、蛋白质数目、样品总离子强度和肽段保留时间等指标的变化,以揭示重复实验之间分析结果的可变性和稳定性.7次测定的肽段数目平均值为208,标准偏差为38;7次结果合并后,得到了归属于114个蛋白质的426个肽段,肽段和蛋白质数目均显著增加;而35个蛋白质的109个肽段在所有7次实验中均被检出,表明多肽组的单次分析结果既具有一定的随机性,又具有相对的稳定性.增加平行实验次数会扩大多肽组数据集,但测定3次以上后增加幅度减小.相比于肽段,多肽组的结果在蛋白质水平上更为稳定,提示利用蛋白质为多肽组的生物标志物更为稳健.     

A Dirichlet form approach to MCMC optimal scaling

This paper shows how the theory of Dirichlet forms can be used to deliver proofs of optimal scaling results for Markov chain Monte Carlo algorithms (specifically, Metropolis–Hastings random walk samplers) under regularity conditions which are substantially weaker than those required by the original approach (based on the use of infinitesimal generators). The Dirichlet form methods have the added advantage of providing an explicit construction of the underlying infinite-dimensional context. In particular, this enables us directly to establish weak convergence to the relevant infinite-dimensional distributions.