Derivatives of Intersection Local Time for Two Independent Symmetricα-stable Processes

In this paper,we consider the derivatives of intersection local time for two independent d-dimensional symmetricα-stable processes X^(α) and X^(α)with respective indices α and α.We first study the sufficient condition for the existence of the derivatives,which makes us obtain the exponential integrability and H?lder continuity.Then we show that this condition is also necessary for the existence of derivatives of intersection local time at the origin.Moreover,we also study the power variation of the derivatives.

Robust Frequency Estimation Under Additive Symmetric α-Stable Gaussian Mixture Noise

Here the estimating problem of a single sinusoidal signal in the additive symmetricα-stable Gaussian(ASαSG)noise is investigated.The ASαSG noise here is expressed as the additive of a Gaussian noise and a symmetricα-stable distributed variable.As the probability density function(PDF)of the ASαSG is complicated,traditional estimators cannot provide optimum estimates.Based on the Metropolis-Hastings(M-H)sampling scheme,a robust frequency estimator is proposed for ASαSG noise.Moreover,to accelerate the convergence rate of the developed algorithm,a new criterion of reconstructing the proposal covar-iance is derived,whose main idea is updating the proposal variance using several previous samples drawn in each iteration.The approximation PDF of the ASαSG noise,which is referred to the weighted sum of a Voigt function and a Gaussian PDF,is also employed to reduce the computational complexity.The computer simulations show that the performance of our method is better than the maximum likelihood and the lp-norm estimators.

Asymptotic Properties of Estimators for Ornstein-Uhlenbeck Processes with Small Symmetricα-Stable Motions

The asymptotic behaviors for estimators of the drift parameters in the Ornstein-Uhlenbeck process driven by small symmetricα-stable motion are studied in this paper.Based on the discrete observations,the conditional least squares estimators(CLSEs)of all the parameters involved in the Ornstein–Uhlenbeck process are proposed.We establish the consistency and the asymptotic distributions of our estimators asεgoes to 0 and n goes to∞simultaneously.

The Limit Distribution of Stochastic Evolution Equations Driven by-Stable Non-Gaussian Noise

We study the distribution limit of a class of stochastic evolution equation driven by an additive-stable Non-Gaussian process in the case of α∈(1,2).We prove that,under suitable conditions,the law of the solution converges weakly to the law of a stochastic evolution equation with an additive Gaussian process.

An Extended Birth-Death Processes with Catastrophes——Stochastically Monotone, Feller and Symmetric Properties

A new structure with the special property that catastrophes is imposed to ordinary Birth_Death processes is considered. The necessary and sufficient conditions of stochastically monotone, Feller and symmetric properties for the extended birth_death processes with catastrophes are obtained.

APPROXIMATION OF ADDITIVE FUNCTIONALS OF THE SYMMETRIC HUNT PROCESSES AND ITS APPLICATION

Approximate theorem of positive continuous additive functionals is discussed and then used to give a d-dimensional analogue to the representation of additive functiouals of one-dimensional Brownian Motion with respect to local time.

ABSOLUTE CONTINUITIES OF EXIT MEASURES AND TOTAL WEIGHTED OCCUPATION TIME MEASURES FOR SUPER-α-STABLE PROCESSES

Suppose X is a super-α-stable process in R^d, （0 〈 α〈 2）, whose branching rate function is dr, and branching mechanism is of the form ψ（z） = z^1＋β （0 〈0 〈β ≤1）. Let Xγ and Yγ denote the exit measure and the total weighted occupation time measure of X in a bounded smooth domain D, respectively. The absolute continuities of Xγ and Yγ are discussed.

SYMMETRIC INTEGRAL AND CANONICAL EXTENSION FOR JUMP PROCESS SOME COMBINATORIAL RESULTS

Using approximation technique, we introduce the concepts of canonical extension and symmetrio integral for jump process and obtain some results in the chaotic form.

ACCELERATED SYMMETRIC ADMM AND ITS APPLICATIONS IN LARGE-SCALE SIGNAL PROCESSING

The alternating direction method of multipliers(ADMM)has been extensively investigated in the past decades for solving separable convex optimization problems,and surprisingly,it also performs efficiently for nonconvex programs.In this paper,we propose a symmetric ADMM based on acceleration techniques for a family of potentially nonsmooth and nonconvex programming problems with equality constraints,where the dual variables are updated twice with different stepsizes.Under proper assumptions instead of the socalled Kurdyka-Lojasiewicz inequality,convergence of the proposed algorithm as well as its pointwise iteration-complexity are analyzed in terms of the corresponding augmented Lagrangian function and the primal-dual residuals,respectively.Performance of our algorithm is verified by numerical examples corresponding to signal processing applications in sparse nonconvex/convex regularized minimization.

Symmetric quantum discord for a two-qubit state

We discuss the symmetric quantum discord （SQD） for an arbitrary two-qubit state consisting of subsystems A and B and give the analysis formula of the symmetric quantum discord for the arbitrary two-qubit state. We also give the optimization process of the symmetric quantum discord for some states and obtain the symmetric quantum discord. We compare the quantum discord （QD） with the symmetric quantum discord, and find that the symmetric quantum discord is greater than the quantum discord. We also find that the symmetric quantum discord can be unequal to the quantum discord when the right quantum discord （measure on subsystem B） is equal to the left quantum discord （measure on subsystem A）.

(e,2e) triple-differential cross sections for Ag^+ (4p, 4s) in coplanar symmetric geometry

The （e, 2e） triple-differential cross sections of Ag＋ （4p, 4s） are calculated based on the three-body distorted-wave Born approximation considering post-collision interaction in coplanar symmetric geometry. The energy of the outgoing electron is set to be 50, 70, 100, 200, 300,500, 700, and 1000 eV, and the intensity and splitting of forward and backward peaks are discussed in detail. Some new structures are observed around 15° and 85° for 4p and 4s orbitals. Structures in triple-differential cross sections at 15° are reported for the first time. A double-binary collision is proposed to explain the formation of such structures. The structures at 85° are also considered as the result of one kind of double-binary collision.

Functional inequalities for time-changed symmetric α-stable processes

We establish sharp functional inequalities for time-changed symmetric α-stable processes on Rd with d≥1 and α∈(0,2), which yield explicit criteria for the compactness of the associated semigroups. Furthermore, when the time change is defined via the special function W(x)=(1+|x|)β with β>α we obtain optimal Nash-type inequalities, which in turn give us optimal upper bounds for the density function of the associated semigroups.

晋东南文化视域下潞绸被面的染织工艺研究

潞绸是记载晋东南地区人们独特的社会生活和人文思想的文化符号,蕴含浓郁的民风民俗文化,体现了鲜明的地域性特色。文章以沿用传统技艺织造的潞绸实物为研究对象,从晋东南的历史文化、地域因素、民俗风俗的维度去解读现代潞绸的织染工艺。研究表明,现代潞绸以传统对称为美,兼具实用与审美双原则;其特殊地域特色和晋商文化的开放交流共同影响着潞绸的原料、组织结构和表现形式;晋东南地区尚红习俗也间接影响着潞绸的色彩审美。

美国纽约韦拉扎诺大桥U肋焊缝机器人焊接研究

正交异性钢桥面板因其自重轻、承载能力大,广泛应用于大跨度现代钢桥,其U形肋焊接技术是桥面板制作的关键。以美国纽约韦拉扎诺大桥U肋焊接试验为例,介绍了U肋与桥面板坡口角焊缝的自动焊接工艺。区别于传统需4次焊接的方式,通过调整U肋焊缝的坡口角度(将坡口角度调整为54°,使焊缝形状更接近三角形,增加焊缝成型系数)、钝边尺寸(2.5~3.0 mm)、焊接规范参数以及采用具有电弧跟踪系统的焊接机器人进行施焊,实现了U肋两侧坡口角焊缝机器人单道对称水平位置施焊一次成形。该工艺克服了熔深不足、烧穿、裂纹、咬边等技术难题,焊接效率是传统焊接的4倍,熔深可达U肋板厚的80%,无焊漏,焊缝外观质量良好,在业主随机抽样检验中全部合格,填补了国内外U肋焊接领域的技术空白。

扬州闸泵站工程基于BIM技术异形流道施工技术应用

大中型泵站流道通常为变截面异形混凝土结构,模板工程施工技术难度大。文章以扬州闸泵站工程异形流道施工为典型应用示范案例,介绍了“基于BIM背景异形流道预拼整体式木模多点锚拉对称浇筑施工技术”研发背景、工艺原理及技术特点、工艺流程、施工要点,简要分析了经济效益。工程应用表明:新型技术通过多点锚拉加固、分层对称浇筑以及拉绳位移传感器模板监测系统,保证了混凝土浇筑安全和成型质量。与传统复杂异形流道立模工艺相比,具有过程简单、操作简便、施工效率高、技术效益及经济效益显著的优点,可为类似大中型泵站流道施工提供质量保障。

地面机器人多尺度道路感知方法研究

由于道路状态的差异化,采用统一的尺度标准对其进行感知会产生相对较大的误差。文中以地面机器人为研究对象,提出了一种多尺度道路感知方法。该方法以基于USB串行总线的便携式外置彩色图像采集盒——USB21A为视觉图像采集装置,在对称双目模式下,根据道路环境的实际光线条件及道路规格来调整传感器的拍摄角度和焦距,获取清晰的道路边界图像信息。在道路感知阶段,以对称双目视觉传感器采集到的RGB图像为基础,对其进行以道路边缘为核心的截取处理,并结合以视觉传感器为中心的坐标系中的道路边缘图像中的像素点位置信息,确定道路边缘信息。在测试结果中,地面机器人沿不同路段中心线行驶的偏移量始终稳定在0.1 m以内,最大值仅为0.08 m(弯道路段),其余路段的偏移量基本稳定在0.05 m以内。

Parameter Estimation for Complex Ornstein-Uhlenbeck Processes

The drift parameter estimation problem of the complex Ornstein-Uhlenbeck process driven by a complexα-stable motion is considered.Based on discrete observations,an estimator of the unknown drift parameter is constructed by using the least squares method.Moreover,the strong consistency and the asymptotic distribution of the least squares estimator are derived under some assumptions.

UNIFORM PACKING DIMENSION RESULTS FOR MULTIPARAMETER STABLE PROCESSES

In this article, authors discuss the problem of uniform packing dimension of the image set of multiparameter stochastic processes without random uniform Holder condition, and obtain the uniform packing dimension of multiparameter stable processes. If Z is a stable （N, d, α）-process and αN ≤ d, then the following holds with probability 1 Dim Z（E）=α Dim E for any Borel setE ∈B（R ＋^N）, where Z（E）={x：E←t∈E,Z（t）=x}, Dim （E） denotes the packing dimension of E.

LONG-TIME ASYMPTOTIC OF STABLE DAWSON-WATANABE PROCESSES IN SUPERCRITICAL REGIMES

Let W =(W_t)_(t≥0) be a supercritical a-stable Dawson-Watanabe process(withα∈(0,2]) and f be a test function in the domain of-(-△)^(α/2) satisfying some integrability condition. Assuming the initial measure W_0 has a finite positive moment, we determine the long-time asymptotic of arbitrary order of W_t(f). In particular, it is shown that the local behavior of Wt in long-time is completely determined by the asymptotic of the total mass W_t(1), a global characteristic.

Quantile inference for nonstationary processes with in nite variance innovations

Based on the quantile regression,we extend Koenker and Xiao(2004)and Ling and McAleer(2004)'s works from nite-variance innovations to in nite-variance innovations.A robust t-ratio statistic to test for unit-root and a re-sampling method to approximate the critical values of the t-ratio statistic are proposed in this paper.It is shown that the limit distribution of the statistic is a functional of stable processes and a Brownian bridge.The nite sample studies show that the proposed t-ratio test always performs signi cantly better than the conventional unit-root tests based on least squares procedure,such as the Augmented Dick Fuller(ADF)and Philliphs-Perron(PP)test,in the sense of power and size when in nitevariance disturbances exist.Also,quantile Kolmogorov-Smirnov(QKS)statistic and quantile Cramer-von Mises(QCM)statistic are considered,but the nite sample studies show that they perform poor in power and size,respectively.An application to the Consumer Price Index for nine countries is also presented.