Convergent Star Product Algebras on ‘ax+b’

We define nontempered (exponential growth) function spaces on the Lie group ax+b which are stable under some left-invariant (convergent) star product. The techniques used to achieved the latter come from symmetric spaces geometry and star representation theory.     

Stochastic flows on a countable set: Convergence in distribution

Consider a sequenceF ₁,F ₂,... of i.i.d. random transformations from a countable setV toV. Such a sequence describes a discrete-time stochastic flow onV, in which the position at timen of a particle that started at sitex isM _n(x), whereM _n =F _n F _n–1 F ₁. We give conditions on the law ofF ₁ for the sequence (M _n) to be tight, and describe the possible limiting law. an example called the block charge model is introduced. The results can be formulated as a statement about the convergence in distribution of products of infinite-dimensional random stochastic matrices. In practical terms, they describe the possible equilibria for random motions of systems of particles on a countable set, without births or deaths, where each site may be occupied by any number of particles, and all particles at a particular site move together.     

Evidence for the poisson distribution for quasi-energies in the quantum kicked-rotator model

A transformation on the two-dimensional torus which is related to the problem of limit distribution for the distance between the levels in the kicked-rotator model is considered. The first four moments of the r.w. which describe the numbers of visits of a point in a rectangle of measure are calculated. It is shown that when 0 they converge to the first four moments of a Poisson r.w.     

晶化温度对中孔分子筛（M41S）结构转变的影响

在低表面活性剂浓度及低表面活性剂与氧化硅比的条件下，研究了十六烷基三甲基溴化铵－硅酸钠体系中晶化温度对中孔分子筛Ｍ４１Ｓ材料结构转变的影响。结果有，晶化温度提高至１３５℃改变了原六方晶相ＭＣＭ－４１的结构，晶化温度提高到１５０℃后，中孔结构六方ＭＣＭ－４１晶格转变为变不稳定的层状相，     

无机螺旋体超分子配合物的组装、应用和结构转化研究进展

简述了近年来报道的具有新颖结构和性能的无机螺旋体超分子配合物的组装、应用和结构转化方面的最新进展,并展望了无机螺旋体的发展前景及其开发应用潜力。     

钛酸纳米管和钛酸纳米薄片相变规律比较

TiO2与浓NaOH溶液反应可制得组成是Na2-xHxTi2O4（OH）2，0≤X≤2的纳米管。X随后处理时溶液的pH值的不同而不同，当X=2时即为钛酸纳米管。本文在考察热处理温度对钛酸纳米管和钛酸纳米薄片相变的影响时，发现它们的相变规律几乎完全相同。本文通过TEM、XRD、Raman及FT-IR光谱等技术对合成的钛酸纳米管和钛酸纳米薄片随焙烧温度的相变规律、晶粒形状及结晶程度等性质进行了比较和讨论。     

铜铝合金中γ_2相沉淀的分析电镜研究

Cu-12.7(wt)%Al合金从900℃高温淬至365℃～500℃温度范围等温不同时间(30秒至15分钟)的试样中形成了大量树枝状的γ_2相沉淀粒子。应用配有X线能谱仪(XEDS)和电子能量损失谱仪(EELS)的分析电子显微镜(JEOL JEM-2000FX型)对上还试样研究,结果表明:这些γ_2相粒子具有富铝的“核心”,长大到粒子线度大于约800nm后以不稳定方式生长成“花朵”状。生长过程中伴随着溶质元素Al由基体向γ_2相内的富集。而且在γ_2相粒子内部呈现出Spinodal分解组织的形貌特征,表明γ_2粒子内形成了化学成分调幅。EELS分析表明试样含氧。     

纳米锐钛矿相变的原位XRD研究

钛氧化物具有3种物相：锐钛矿、板钛矿和金红石，其中，锐钛矿和板钛矿为室温稳定相．在温度较高的条件下会向热力学更稳定的金红石相转变。锐钛矿向金红石的相变是热力学亚稳定相向稳定相的转变，由于这种相变过程不存在平衡温度．分析研究其相变过程无论从理论方面还是从实际应用方面均具有重要的意义。     

Phase Transformation of Nanosized Zirconia

1 INTRODUCTION Without introduction of any stabilizing reagent, mesoporous zirconia was prepared via solid state re- action-structure directed method, which broke through the traditional preparation route (liquid reaction)[1]. Using this novel method, the samples possess not only mesoporous structure, but also nano-size. Normal size zirconia has three kinds of crys- talline phases: monoclinic phase existing at room tem- perature, tetragonal phase stabilizing between 1170～2370 ℃ and cubi…     

完全未知混合体系中纯组份的红外光谱解析

提出一种新的目标转化因子分析，其初始向量的构造基于实际最大差异光谱，无需分离即可从红外混合体系中解析出纯组份光谱。该算法简单易懂，不必迭代，运算量小，应用于模拟及实际体系，结果令人满意。