一个与G－分次环和G－集的Smash积有关的Maschke－Type定理

对任意群Ｇ，［１］研究了有单位元１的Ｇ－分次环与有限可迁Ｇ－集的Ｓｍａｓｈ积．在本文中，我们对任意可迁Ｇ－集Ａ讨论了具有局部单位元的Ｇ－分次环与Ｇ－集Ａ的Ｓｍａｓｈ积，证明了有关的一个Ｍａｓｃｈｋｅ－ｔｙＰｅ定理．推广了［２］［３］中的一些重要结果．     

A Generalization of Univaleby Functions with Negative Coefficients

ＡＧｅｎｅｒａｌｉｚａｔｉｏｎｏｆＵｎｉｖａｌｅｎｔＦｕｎｃｔｉｏｎｓｗｉｔｈＮｅｇａｔｉｖｅＣｏｅｆｆｉｃｉｅｎｔｓＭ．ＫＡｏｕｆ（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＦａｃｕｌｔｙｏｆＳｃｉｅ．，Ｕｎｉｖ．ｏｆＭａｎｓｏｕｒａ，Ｍａｎｓｏｕｒａ，Ｅｇｙｐｔ...     

STRONG SUBORDINATION OF SYMMETRIC DIRICHLET FORMS

ＳＴＲＯＮＧＳＵＢＯＲＤＩＮＡＴＩＯＮＯＦＳＹＭＭＥＴＲＩＣＤＩＲＩＣＨＬＥＴＦＯＲＭＳＹＩＮＧＪＩＡＮＧＧＡＮＧＭａｎｕｓｃｒｉｐｔｒｅｃｅｉｖｅｄＭａｙ９，１９９５．ＲｅｖｉｓｅｄＭａｒｃｈ２１，１９９６．ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈ...     

ON THE MINIMUM FEASIBLE GRAPH FOR FOUR SETS

ＯＮＴＨＥＭＩＮＩＭＵＭＦＥＡＳＩＢＬＥＧＲＡＰＨＦＯＲＦＯＵＲＳＥＴＳＸＵＹＩＮＦＥＮＧＡＮＤＦＵＸＩＡＯＢＩＮＧＡｂｓｔｒａｃｔ：ＧｉｖｅｎａｃｏｍｐｌｅｔｅｇｒａｐｈｗｉｔｈｖｅｒｔｅｘｓｅｔＸａｎｄｓｕｂｓｅｔｓＸ＿１，Ｘ＿２，．．．，Ｘ＿ｎ...     

Fractal Model of the Spheroidal Graphit

ＦｒａｃｔａｌＭｏｄｅｌｏｆｔｈｅＳｐｈｅｒｏｉｄａｌＧｒａｐｈｉｔｅＺ．Ｙ．ＨＥａｎｄＫ．Ｚ．ＨＷＡＮＧＤｅｐｔ．ｏｆＥｎｇｉｎｅｅｒｉｎｇＭｅｃｈａｎｉｃｓ，ＴｓｉｎｇｈｕａＵｎｉｖｅｒｓｉｔｙＢｅｉｊｉｎｇ，Ｐ．Ｒ．Ｃｈｉｎａ１０００８４Ａｂｓ...     

EMBEDDING FLOWS AND SMOOTH CONJUGACY

ＥＭＢＥＤＤＩＮＧＦＬＯＷＳＡＮＤＳＭＯＯＴＨＣＯＮＪＵＧＡＣＹＺＨＡＮＧＭＥＩＲＯＮＧＬＩＷＥＩＧＵＭａｎｕｓｃｒｉｐｔｒｅｃｅｉｖｅｄＭａｒｃｈ２３，１９９４．ＲｅｖｉｓｅｄＮｏｖｅｍｂｅｒ１，１９９５．ＤｅｐａｒｔｍｅｎｔｏｆＡｐ...     

Theta Subgroups and the Solvability of FiniteGroups

§１．　ＩｎｔｒｏｄｕｃｔｉｏｎａｎｄＤｅｆｉｎｉｔｉｏｎＡｌｌｇｒｏｕｐｓｔｒｅａｔｅｄａｒｅｆｉｎｉｔｅ．Ｉｎ［１］，Ｎ．Ｐ．ＭｕｋｈｅｒｊｅｅａｎｄＰ．Ｂｈａｔｔａｃｈａｒｙａｄｅｆｉｎｅｄｔｈｅｃｏｎｃｅｐｔｏｆθ－ｐａｉｒｓａｓｓｏｃｉａｔｅｄｔｏａｍａｘｉｍａｌｓｕｂｇｒｏｕｐＭｏｆａｇｒｏｕｐＧａｓｆｏｌｌｏｗｓ：ａθ－ｐａｉｒｆｏｒＭｉｓａｎｙｐａｉｒｏｆｓｕｂｇｒｏｕｐｓ（Ｃ，Ｄ）ｏｆＧｓｕｃｈｔｈａｔ（１）ＤＧ，Ｄ＜Ｃ，（２）〈Ｍ，Ｃ〉＝Ｇ，〈Ｍ，Ｄ〉＝Ｍａｎｄ（３）Ｃ／Ｄ…     

OPTIMAL REPLACEMENT FOR DISCRETEADDITIVEDAMAGEMODELS：ALGORITHM

ＯＰＴＩＭＡＬＲＥＰＬＡＣＥＭＥＮＴＦＯＲＤＩＳＣＲＥＴＥＡＤＤＩＴＩＶＥＤＡＭＡＧＥＭＯＤＥＬＳ：ＡＬＧＯＲＩＴＨＭ＊ＣＨＥＮＧＳＨＩＸＵＥＡｂｓｔｒａｃｔ．Ａｓｙｓｔｅｍｒｅｃｅｉｖｅｓｓｈｏｃｋｓａｔｓｕｃｃｅｓｓｉｖｅｒａｎｄｏｍｐｏｉｎｔｓ...     

ON THE ｛2｝－INVERSE AND SOME ORDERING PROPERTIES OF NONNEGATIVE DEFINITE MATRICES

ＥＲＫＫＩＰ．ＬＩＳＫＩ（ＤｅｐｅｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃａｌＳｃｉｅｎｃｅｓ，ＵｎｉｖｅｒｓｉｔｙｏｆＴａｍｐｅｒｓ，Ｆｉｎｌａｎｄ）ＷＡＮＧＳＯＮＧＧＵＩ（王松桂）（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，Ｂｅｉ...     

GIRSANOV'S THEOREM ON ABSTRACT WIENER SPACES

ＧＩＲＳＡＮＯＶ’ＳＴＨＥＯＲＥＭＯＮＡＢＳＴＲＡＣＴＷＩＥＮＥＲＳＰＡＣＥＳＺＨＡＮＧＹＩＮＮＡＮＡｂｓｔｒａｃｔＬｅｔ（Ｅ，Ｈ，μ）ｂｅａｎａｂｓｔｒａｃｔＷｉｅｎｅｒｓｐａｃｅｉｎｔｈｅｓｅｎｓｅｏｆＬ．Ｇｒｏｓ．Ｉｔｉｓｐｒｏｖｅｄｔｈ...     

渐近循环马氏链的收敛速度

引入了渐近循环马氏链的概念,它是循环马氏链概念的推广.首先研究了在强遍历的条件下,可列循环马氏链的收敛速度,作为主要结论给出了当满足不同条件时可列渐近循环马氏链的C-强遍历性,一致C-强遍历性和一致C-强遍历的收敛速度     

A partially observable decision problem under a shifted likelihood ratio ordering

In this paper, we discuss a partially observable sequential decision problem under a shifted likelihood ratio ordering. Since we employ the Bayes' theorem for the learning procedure, we treat this problem under several assumptions. Under these assumptions, we obtain some fundamental results about the relation between prior and posterior information. We also consider an optimal stopping problem for this partially observable Markov decision process.     

基于MMD算法的HMM参数重估计的矩阵表示

本文提出的MMD算法用于提高模型区别错误信息和正确信息的能力．利用该算法在对模型的参数进行重估计时．涉及到复杂的目标函数的梯度运算．击运用矩阵运算使得梯度运算变得简单明了，因此本文给出了MMD算法下的HMM参数重估计的矩阵表示形式并给出了证明．     

Metastability of reversible finite state Markov processes

We prove the metastable behavior of reversible Markov processes on finite state spaces under minimal conditions on the jump rates. To illustrate the result we deduce the metastable behavior of the Ising model with a small magnetic field at very low temperature.     

On approximation of smoothing probabilities for hidden Markov models

We consider the smoothing probabilities of hidden Markov model (HMM). We show that under fairly general conditions for HMM, the exponential forgetting still holds, and the smoothing probabilities can be well approximated with the ones of double-sided HMM. This makes it possible to use ergodic theorems. As an application we consider the pointwise maximum a posteriori segmentation, and show that the corresponding risks converge.     

Optimal control policies for ambulance diversion

Ambulance diversion (AD) is used by emergency departments (EDs) to relieve congestion by requesting ambulances to bypass the ED and transport patients to another facility. We study optimal AD control policies using a Markov Decision Process (MDP) formulation that minimizes the average time that patients wait beyond their recommended safety time threshold. The model assumes that patients can be treated in one of two treatment areas and that the distribution of the time to start treatment at the neighboring facility is known. Assuming Poisson arrivals and exponential times for the length of stay in the ED, we show that the optimal AD policy follows a threshold structure, and explore the behavior of optimal policies under different scenarios. We analyze the value of information on the time to start treatment in the neighboring hospital, and show that optimal policies depend strongly on the congestion experienced by the other facility. Simulation is used to compare the performance of the proposed MDP model to that of simple heuristics under more realistic assumptions. Results indicate that the MDP model performs significantly better than the tested heuristics under most cases. Finally, we discuss practical issues related to the implementation of the policies prescribed by the MDP.     

Modeling traffic flow interrupted by incidents

A steady-state M/M/c queueing system under batch service interruptions is introduced to model the traffic flow on a roadway link subject to incidents. When a traffic incident happens, either all lanes or part of a lane is closed to the traffic. As such, we model these interruptions either as complete service disruptions where none of the servers work or partial failures where servers work at a reduced service rate. We analyze this system in steady-state and present a scheme to obtain the stationary number of vehicles on a link. For those links with large c values, the closed-form solution of M/M/∞ queues under batch service interruptions can be used as an approximation. We present simulation results that show the validity of the queueing models in the computation of average travel times.     

连续时间Markov决策过程的均值-方差优化问题

本文考虑连续时间Markov决策过程折扣模型的均值-方差优化问题.假设状态空间和行动空间均为Polish空间,转移率和报酬率函数均无界.本文的优化目标是在折扣最优平稳策略类里,选取相应方差最小的策略.本文致力于寻找Polish空间下Markov决策过程均值-方差最优策略存在的条件.利用首次进入分解方法,本文证明均值-方差优化问题可以转化为"等价"的期望折扣优化问题,进而得到关于均值-方差优化问题的"最优方程"和均值-方差最优策略的存在性以及它相应的特征.最后,本文给出若干例子说明折扣最优策略的不唯一性和均值-方差最优策略的存在性.     

Exponential Convergence Rates of Markov Chains under a Weaken Minorization Condition

In this paper, we obtain the quantitative bound of the exponential convergence rates of Markov chains under a weaken minorization condition, using the coupling method and the analytic approach. And also, we obtain the convergence rates for continuous time Markov processes.