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.     

Multiple local solutions to nonlinear control processes

We use the topological tool of Nielsen fixed-point theory to study the controllability of perturbed linear control processes whose control space can be reduced to a finite-dimensional one. These methods produce a lower bound on the number of controls that achieve a given target. We concentrate particularly on the case where the perturbation has sublinear growth, and we exhibit examples of multiple controls of various types that are detected by the Nielsen theory method.This research was partly supported by the Research Grant Teoria del Controllo dei Sistemi Dinamici, Ministero della Pubblica Istruzione, Roma, Italy.     

Current distribution on a three-dimensional,bond-diluted,random-resistor network at the percolation threshold

Current and logarithm-current distributions on a three-dimensional random-bond percolation cubic network were studied at the percolation threshold by computer simulations. Predictions of a hierarchical model that combine fractal structure and randomness agree with our numerical simulations. In the thermodynamic limit the logarithm-current distribution exhibits ann(ln(i))i ^1/3 dependence below some characteristic currenti _c. This distribution may scale with lni/lnL, but the data are insufficient to make this a definite conclusion. Due to the small range of lnL considered, a study of the moments does not reveal this behavior and a study of the distribution itself is required.     

Stabilizing an uncertain production system

Consider a production system that consists ofm machines each of which can produce parts ofn types. When machinek is used, it produces a part of typei with probabilityp _ki . Requests arrive for parts, one at a time. With probability _i an arriving request is for a part of typei. The requests must be served without waiting. Thus, if a requested part is not available, it must be produced. We find necessary and sufficient conditions for the existence of a strategy (a choice of the machines to be used) which makes the inventory of parts stable and we provide such a strategy.Two variations of this model are also considered: the case of batch arrivals of requests, and that of a system where the requests can be queued.     

Prophet inequalities for parallel processes

Generalizations of prophet inequalities for single sequences are obtained for optimal stopping of several parallel sequences of independent random variables. For example, if {X_{i, j}, 1 ≤ i ≤ n, 1 ≤ j < ∞} are independent non-negative random variables, then

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and this bound is best possible. Applications are made to comparisons of the optimal expected returns of various alternative methods of stopping of parallel processes.     

The Smoluchowski limit for a simple mechanical model

We consider a vertical stick constantly accelerated along thex-axis by a forceF and which elastically collides with point particles of the same mass (atoms). The atoms are initially Poisson distributed and are allowed to have four velocities only. It is shown that under suitable scaling of the system the displacementQ(t) of the stick satisfies a nontrivial CLT:Q(t)=vFt+D ^1/2 W(t) (Smoluchowski equation), where the values ofv andD depend on the fact that one atom may collide several times.     

河南贫煤不同温度燃烧烟气中环烃类产物的分析研究

本文用色谱／质谱／红外联用系统研究了河南贫煤在不同温度下燃烧释放的烟气二氯甲烷富集液中的脂环烃，苯系物，多环芳烃及杂多环芳烃等环烃类物的组成和差异，尤其是对多环芳烃的种类，含量及分布特征进行了较详细的探讨。并与原煤常温二氯甲烷浸取中各化合物组成进行了对照。     

超微粒La-Co氧化物催化剂对柴油机尾气碳黑催化燃烧性能的研究

用有机酸络合法制备了Co3O4，NiCo2O4和LaCo2O43种催化剂。通过程序升温氧化反应(TPO)技术对这3种催化剂进行模拟柴油碳黑催化燃烧反应的活性评价。研究发现以Co3O4为活性成分的催化剂能显著降低碳黑燃烧的温度。以Ni和La部分取代Co3O4后形成的复合氧化物NiCo2O4和混合氧化物LaCo2O4能改进Co3O4的氧化活性。但是NiCo2O4不能改进碳黑在松散接触时的燃烧活性；而混合氧化物LaCo2O4由于形成了超微粒含缺陷的LaCoO3钙钛矿型结构，它具有良好的低温氧化活性和表面原子移动性，因而能显著改进碳黑在松散接触时的燃烧活性。     

The gas phase reaction between CO2 and lanthanide atoms. A test of a model for the isokinetic effect

Summary Co₃O₄, NiCo₂O₄ and LaCo₂O₄catalysts were synthesizedby the citric acid-ligated method. These catalysts containing Co-oxide active components can largely lower the temperature of soot combustion under tight contact conditions. Under the conditions of loose contact NiCo₂O₄ cannot promote soot combustion, but LaCo₂O₄ can effectively promote soot combustion because the nanometric perovskite-type catalyst LaCoO₃produced in the LaCo₂O₄sample.</o:p>     

镧掺杂粘土源含铜氧化物催化剂的制备、表征及催化性能

采用共沉淀和水热法合成了不同阴离子粘土前驱型复合氧化物催化材料,样品经XRD,FTIR,TPR,TG-DSC,SEM进行表征.同时考察了铜含量在掺杂和不掺杂稀土时对甲烷催化燃烧的影响,结果发现随含铜量增加催化活性增加;未掺杂La的催化剂在高温下出现失活现象,而掺杂型催化剂稳定性良好.同时,制备方法对催化剂的性能有显著影响,在不同制备前驱物pH的条件下,使用共沉淀和水热法合成的阴离子粘土材料,合成时的pH均对催化剂的活性影响较大;同时焙烧温度对催化活性有不同程度的影响.