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101.
The authors establish the Hilbertian invariance principle for the empirical process of a stationary Markov process, by extending the forward-backward martingale decomposition of Lyons-Meyer-Zheng to the Hilbert space valued additive functionals associated with general non-reversible Markov processes.  相似文献   
102.
ON SOLVABLE COMPLETE LIE SUPERALGEBRAS   总被引:1,自引:0,他引:1  
The authors discuss the properties of solvable complete Lie superalgebra, proving that solvable Lie superalgebras of maximal rank are complete.  相似文献   
103.
四元数矩阵方程AXAH=B的最小二乘解   总被引:6,自引:2,他引:6  
刘永辉 《数学研究》2003,36(2):145-150
引入了四元数矩阵范数的概念,通过使用四无数矩阵的奇异值分解,给出了四元数矩阵方程AXA^H=B在最小二乘意义下的Hermitian解以及Skew-Hermitian解.  相似文献   
104.
带启动时间的多级适应性休假的M/G/1排队   总被引:3,自引:0,他引:3  
本研究带启动时间的多级适应性休假的M/G/1间排队。给出稳态队长分布和母函数、等待时间分布和其LST及其随机分解结果,推导出忙期、假期和启动期的母函数。带有启动时间的单重休假和多重休假是本中模型的两个极端情况。  相似文献   
105.
A class of simple two-dimensional cellular automata with particle conservation is proposed for easy simulations of interacting particle systems. The automata are defined by the exchange of states of neighboring cells, depending on the configurations around the cells. By attributing an energy to a configuration of cells, we can select significant rules from the huge number of possible rules and classify them into several groups, based on the analogy with a binary alloy. By numerical calculations, cluster growth is found in two kinds of phases which reveal gas-solid coexistence and liquid droplets. Normalized scaling functions are obtained, and dynamical scaling is examined.  相似文献   
106.
I. Atencia  P. Moreno 《TOP》2003,11(2):285-310
We analyse a single-server retrial queueing system with infinite buffer, Poisson arrivals, general distribution of service time and linear retrial policy. If an arriving customer finds the server occupied, he joins with probabilityp a retrial group (called orbit) and with complementary probabilityq a priority queue in order to be served. After the customer is served completely, he will decide either to return to the priority queue for another service with probability ϑ or to leave the system forever with probability =1−ϑ, where 0≤ϑ<1. We study the ergodicity of the embedded Markov chain, its stationary distribution function and the joint generating function of the number of customers in both groups in the steady-state regime. Moreover, we obtain the generating function of system size distribution, which generalizes the well-knownPollaczek-Khinchin formula. Also we obtain a stochastic decomposition law for our queueing system and as an application we study the asymptotic behaviour under high rate of retrials. The results agree with known special cases. Finally, we give numerical examples to illustrate the effect of the parameters on several performance characteristics.  相似文献   
107.
Consider a queueing system where customers arrive at a circle according to a homogeneous Poisson process. After choosing their positions on the circle, according to a uniform distribution, they wait for a single server who travels on the circle. The server's movement is modelled by a Brownian motion with drift. Whenever the server encounters a customer, he stops and serves this customer. The service times are independent, but arbitrarily distributed. The model generalizes the continuous cyclic polling system (the diffusion coefficient of the Brownian motion is zero in this case) and can be interpreted as a continuous version of a Markov polling system. Using Tweedie's lemma for positive recurrence of Markov chains with general state space, we show that the system is stable if and only if the traffic intensity is less than one. Moreover, we derive a stochastic decomposition result which leads to equilibrium equations for the stationary configuration of customers on the circle. Steady-state performance characteristics are determined, in particular the expected number of customers in the system as seen by a travelling server and at an arbitrary point in time.  相似文献   
108.
关于Abel群上Cayley图的Hamilton圈分解   总被引:3,自引:0,他引:3  
王殿军  王建中 《数学进展》1994,23(6):551-554
设G(F,T∩T^-1)是有限Abel群F上的Cayley图,T∩T^-1只含2阶元,此文证明了当T是F的极小生成元集时,若d(G)=2k,则G是k个边不相交的Hamilton圈的并,若d(G)=2k+1,则G是k个边不相交的Hamilton圈与一个1-因子的并。  相似文献   
109.
We consider the theory and application of a domain decomposition method for computing the conformal modules of long quadrilaterals. The method has been studied already by us and also by Gaier and Hayman. Our main purpose here is to extend its area of application and, in the same time, improve some of our earlier error estimates.  相似文献   
110.
钟怀杰 《数学学报》1994,37(4):563-569
给出 Banach空间列{Xi}i=1∞的 lp乘积B-凸的特征刻划, 证明B-凸空间上的每个黎斯算子可West分解,即分解成一个紧算子和一个拟幂 零算子的和.  相似文献   
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