Functional Central Limit Theorems for Triangular Arrays of Function-Indexed Processes under Uniformly Integrable Entropy Conditions

Functional central limit theorems for triangular arrays of rowwise independent stochastic processes are established by a method replacing tail probabilities by expectations throughout. The main tool is a maximal inequality based on a preliminary version proved by P. Gaenssler and Th. Schlumprecht. Its essential refinement used here is achieved by an additional inequality due to M. Ledoux and M. Talagrand. The entropy condition emerging in our theorems was introduced by K. S. Alexander, whose functional central limit theorem for so-calledmeasure-like processeswill be also regained. Applications concern, in particular, so-calledrandom measure processeswhich include function-indexed empirical processes and partial-sum processes (with random or fixed locations). In this context, we obtain generalizations of results due to K. S. Alexander, M. A. Arcones, P. Gaenssler, and K. Ziegler. Further examples include nonparametric regression and intensity estimation for spatial Poisson processes.     

Eu^2＋：BaFCl光激励发光过程中紫外线的激发与漂白效应

通过改变紫外线的辐射照能量范围，研究了Ｅｕ＾２＋：ＢａＦＣｌ的光激励发光性质。发现紫外线能量大于Ｅｕ＾２＋的最低激发态能量及紫外线的能量小于Ｅｕ＾２＋最低激发态的能量两种情况下，光激励发光具有明显的差异，分析了产生差异的原因，给出了紫外线的辐照能量发生转时所对应的能级位置。     

Optimal intensity control of a multi-class queue

We study a mixed problem of optimal scheduling and input and output control of a single server queue with multi-classes of customers. The model extends the classical optimal scheduling problem by allowing the general point processes as the arrival and departure processes and the control of the arrival and departure intensities. The objective of our scheduling and control problem is to minimize the expected discounted inventory cost over an infinite horizon, and the problem is formulated as an intensity control. We find the well-knownc is the optimal solution to our problem.Supported in part by NSF under grant ECS-8658157, by ONR under contract N00014-84-K-0465, and by a grant from AT&T Bell Laboratories.The work was done while the author was a postdoctoral fellow in the Division of Applied Sciences, Harvard University, Cambridge, Massachusetts 02138.     

一种由[Ag(CN)2]-和Mn(Ⅱ)建筑块组装的三个三维网穿插的超分子配合物的结构和荧光性质

0 Introduction Recently, a considerable effort on crystal engi- neering has been devoted to the research of supramolecular assemblies because they show abun- dant topologic structures and offer possibilities for po- tential applications of functional mate…     

Synthesis,characterization, spectroscopy and thermal analysis of rare earth picrate complexes with <Emphasis Type="Italic">L</Emphasis>-lysine

Summary Rare earth picrate (RE) complexes with L-lysine (Lys) were synthesized and characterized. Elemental analysis (CHN), EDTA titrations and thermogravimetry data suggest a general formula RE(pic)₃·2Lys·2H₂O, where RE=La-Lu (without Pm) and Y, pic=picrate). IR spectra suggest that Lys is coordinated to the central ion through the nitrogen of the α-amino group. Parameters obtained from the absorption spectrum of the Nd compound indicated that the metal-ligand bonds are essentially electrostatic. Emission spectrum and biexponential behavior of the luminescence decay of the Eu compound suggest the existence of polymeric species. Thermogravimetric/derivative thermogravimetric (TG/DTG) and differential scanning calorimetry (DSC) curves of all complexes are very similar, with five events. The final products are the corresponding rare earth oxides and their X-ray diffraction patterns are identical to the calcinated oxides.</o:p>     

Conformations, Energy and Spectral Characteristics of 2,3-Trimethylene- and 2,3-Pentamethylene-3,4-dihydro-4-quinazolinones

Quantum-chemical calculations and IR spectroscopy were used to study the conformations as well as the energy and spectral characteristics of 2,3-trimethylene- and 2,3-pentamethylene-3,4-dihydro-4-quinazolinones. The shift of -electron density from the heterocyclic system to the carbonyl group and, thus, the proton affinity of the oxygen atom of this group increase with expansion of the bond angle at the nitrogen atom in going from a five-membered to seven-membered ring.     

Spectral and photochemical characteristics of CdSe nanoparticles stabilized in polymer-containing media

The optical characteristics of CdSe nanoparticles, produced in aqueous solutions and polymer films in the reaction of cadmium chloride and sodium selenosulfate, were studied. The main parameters that make it possible to vary the forbidden band width were identified. The absorption, photoluminescence, Raman, and nonstationary decolorization spectra of CdSe nanoparticles of various sizes were analyzed. It was demonstrated that under the conditions of pulsed irradiation the CdSe nanoparticles are capable of accumulating excess electrons and inducing redox transformations in components of the solution (oxygen, methylviologen, and sulfite ions). __________ Translated from Teoreticheskaya i éksperimental’naya Khimiya, Vol. 42, No. 3, pp. 150–155, May–June, 2006.     

Luminescence kinetic and association equilibria of lanthanide ions in aqueous solutions. II. Determination of the formation constant of Tb acetato complex by means of luminescence lifetime measurement

The association constant K of mono-acetato complex of Tb³⁺ has been determined at normal p and T conditions by measurement of its luminescence lifetime in aqueous solution containing increasing concentrations of acetate. Two experimental arrangements used for the measurement are described.     

一种计算稀土材料陷阱深度的新方法

表征陷阱材料的主要物理量是陷阱深度, 准确计算出陷阱深度对于研究陷阱材料具有重要的意义. 从能带模型出发, 利用速率方程分析了整个热释光过程, 提出了一种计算稀土材料陷阱深度的新方法, 替代以往利用单分子或双分子近似计算陷阱深度的方法. 以SrAl2O4：Eu^2＋, Dy^3＋及Sr4Al14O25：Eu^2＋, Dy^3＋材料为研究对象, 计算了陷阱深度. 研究表明, 这种计算方法能更准确、真实地描述其物理过程.     

Tb~(3 )在MO(M=Ca,Sr)中的长余辉发光

长余辉发光材料的研究与应用,已有近100年的历史,目前仍在许多领域中有着重要应用[1].此类材料与其他光致发光材料具有相同的发光性能,只是更注重其发光的衰减过程和热释光性能.如,ZnS:Cu作为黄绿色的长余辉发光材料,在1992年以前是余辉性能最好的长余辉发光材料,一直处于发光研究工作的中心.