广义极限鞅的一个收敛定理

本文引进了广义极限鞅的概念,证明了 L~1有界的广义极限鞅 a.s.收敛于—可积随机变量。这样推广了通常极限鞅的相应收敛定理,并回答了 Stout 提出的问题:L~1有界的弱鞅在一定的条件下是 a.s.收敛的。     

一类二阶非线性系统的全局渐近稳定性

本文利用微分方程定性理论讨论一类更广泛的二阶非线性系统 dx/dt=h(y)-F(x),dy/dt=-g(x)Q(x,y)零解的全局渐近稳定性.给出了上述系统无环的三个充分条件以及全局渐近稳定的三个定理.     

On Lower Bounds for Lp Norms in the Central Limit Theorem for Independent and m-Dependent Random Variables

We derive lower bounds for L_p norms , in the central limit theorem for independent and m–dependent random variables with finite fifth order absolute moments and for independent and m–dependent identically distributed random variables with fourth order moments.     

Local polynomial fitting under association

We consider the estimation of multivariate regression functions r(x₁,…,x_d) and their partial derivatives up to a total order p1 using high-order local polynomial fitting. The processes {Y_i,X_i} are assumed to be (jointly) associated. Joint asymptotic normality is established for the estimates of the regression function r and all its partial derivatives up to the total order p. Expressions for the bias and variance/covariance matrix (of the asymptotic distribution) are given.     

杆型SFRFQ结构的研究

RFO加速结构是一种非常巧妙的低能强流加速结构,但是它存在能量上限问题.而杆型SFRFQ加速结构是一种改进的无反场的SFRFQ结构.对分离作用杆型RFQ加速结构在能量增益和横向稳定性两个方面进行了研究,最后还和光阑型SFRFQ结构进行了一些简单的比较 关键词： 能量上限问题 RFQ 杆型SFRFQ 反场 光阑型SFRFQ     

AN ANALOGUE OF KüNNETH THEOREM INSTRONG HOMOLOGY

1 IntroductiouLet G and Z be an abelian group and the set Of all integers respectively And letC = (C., ft,', I') denote an inverse system of chain complexes C. and chain maPS I..1: Cv, -Ct,7 5 T' indexed by a directed set r. Strong homology groups HP(C) of the inverse systemC were defilled by J. T. Lisica and S. Mardedie[n. Using the ANRresOlution[9'l1I, algebraictopolOgists defined the strong homology group HP(X; G) of a topological space X with coefficient8 in G and gave exMPl…     

QUADRATIC SYSTEMS WITH A 3RD-ORDER (OR 2ND-ORDER) WEAK FOCUS

1 IntroductionSince a quadratic system has no limit cycle around a 3rd-order weak focu,[1]and has at most one limit cycle surrounding a 2nd-order weak fOcus['], study-ing the number of limit cycles of a p1anar quadratic system with a 3rd-order(or 2nd-order) weak focus we only need to study the number of limit cyclessurrounding the strong focus for the system. Without loss of generality thequadratic system with a 3rd--order (or 2nd--order) weak foclls and a strong focuscan be written in the fo.…     

Analysis of detection limit to time-resolved coherent anti-Stokes Raman scattering nanoscopy

In the implementation of CARS nanoscopy, signal strength decreases with focal volume size decreasing. A crucial problem that remains to be solved is whether the reduced signal generated in the suppressed focal volume can be detected. Here reported is a theoretical analysis of detection limit （DL） to time-resolved CARS （T-CARS） nanoscopy based on our proposed additional probe-beam-induced phonon depletion （APIPD） method for the low concentration samples. In order to acquire a detailed shot-noise limited signal-to-noise （SNR） and the involved parameters to evaluate DL, the T-CARS process is described with full quantum theory to estimate the extreme power density levels of the pump and Stokes beams determined by saturation behavior of coherent phonons, which are both actually on the order of ~ 109 W/cm2. When the pump and Stokes intensities reach such values and the total intensity of the excitation beams arrives at a maximum tolerable by most biological samples in a certain suppressed focal volume （40-nm suppressed focal scale in APIPD method）, the DL correspondingly varies with exposure time, for example, DL values are 103 and 102 when exposure times are 20 ms and 200 ms respectively.     

Meson decays in an extended Nambu—Jona-Lasinio model with heavy quark flavors

In a previous work,we proposed an extended Nambu-Jona-Lasinio(NJL)model including heavy quark flavors.In this work,we will calculate strong and radiative decays of vector mesons in this extended NJL model,including lightρ,ω,K*,(?)and heavy D~*,D_s~*,B~*,B_s~*.     

反馈式跑道型光学微环的传感灵敏度研究

提出了一种由U型反馈波导、跑道谐振腔和敏感环组成的反馈式跑道型光学微环传感器.采用耦合模理论推导了该传感器的归一化输出光强公式,数值分析了传输损耗因子、自耦合因子和敏感环尺寸对归一化输出光强的影响.分析表明:敏感环的损耗因子对归一化输出光强的调制作用明显,只要损耗因子发生微小变化,输出光强即发生较大变化;敏感环工作在弱耦合状态时传感灵敏度较高;敏感环的尺寸对传感灵敏度影响较大,适当地调整敏感环的大小可得到陡峭的输出光强谱线.对结构参数进行优化后不仅可以输出尖锐陡峭的非对称法诺谐振光强谱线,而且具有较高的法诺谐振光谱斜率,能更好地增强传感灵敏度.在信噪比为30dB的测量系统中,优化的反馈式跑道型光学微环传感器的探测极限达4.48×10-8单位折射率.