实Clifford分析中正则函数列的几条性质

在解析函数列的收敛性定理的基础上 ,定义了实 Clifford分析中正则函数列的一致有界、内闭一致有界及内闭一致收敛等概念 ,并讨论了正则函数列的几条性质 .     

关于有界闭凸集上的弱滴性质的注记

证明了“若K是Banach空间X中的有界闭凸集,0∈intK,则K有弱滴性质当且仅当K⁰有(WS)性质.”从而证明了文[1]中提出的一个问题.     

Analysis of a finite-source customer assignment model with no state information

In this paper we analyse a closed queueing network in which customers have to be assigned to parallel queues. The routing decision may not depend on the numbers of customers in the queues. We present an algorithm and we show that it computes an average optimal policy in case of exponential service times. The algorithm also works for non-exponential service times, in which case periodic policies are found.The research of this author has been supported by the Netherlands Organization for Scientific Research (N.W.O.) and was carried out at the University of Leiden.     

一类三次系统的奇闭轨与极限环

本文运用旋转向量场理论，推广了文［１］的一个结论；证明了系统ｄｘｄｔ＝－ｕｘ＋２ｙ＋ｖｘ３＋ｗｘｙ２－２ｙ３，ｄｙｄｔ＝ｘ＋ｘ３在一定条件下具有“８字形奇闭轨”，并且它的外面至少还有一环；适当选取ｕ，ｖ，ｗ的值，系统至少有五个环     

关于初等算子∑(X):AX+XB+CDX的值域

设A，B和C是Hilbert空间H上的紧算子，定义B（H）上的初等算子，∑(X)=AX XB CXD。本文我们给出∑值域闭的一些充分或必要条件。     

G-凸度量空间中的广义KKM定理及其应用

在一类新的G-凸度量空间中建立了一类新的KKM定理,统一、改进和发展了文献中的相应结果.作为应用,得到了几个新的匹配定理和不动点定理.     

Middle diamond

Under certain cardinal arithmetic assumptions, we prove that for every large enough regular λ cardinal, for many regular κ < λ, many stationary subsets of λ concentrating on cofinality κ has the “middle diamond”. In particular, we have the middle diamond on {δ < λ: cf(δ) = κ}. This is a strong negation of uniformization.I would like to thank Alice Leonhardt for the beautiful typing. This research was partially supported by the Israel Science Foundation. Publication 775.     

Non-symmetric Exponential Laws in the Construct PRTOP

We show that the construct PRTOP of pre-topological spaces and continuous maps admits a proper class of monoidal closed structures.     

Remarks on Black Hole Instabilities and Closed String Tachyons

Physical arguments stemming from the theory of black-hole thermodynamics are used to put constraints on the dynamics of closed-string tachyon condensation in Scherk–Schwarz compactifications. A geometrical interpretation of the tachyon condensation involves an effective capping of a noncontractible cycle, thus removing the very topology that supports the tachyons. A semiclassical regime is identified in which the matching between the tachyon condensation and the black-hole instability flow is possible. We formulate a generalized correspondence principle and illustrate it in several different circumstances: an Euclidean interpretation of the transition from strings to black holes across the Hagedorn temperature and instabilities in the brane-antibrane system.     

锥伪单调和锥严格拟凸映射向量平衡问题

研究在锥伪单调、锥拟凸、锥严格拟凸和次连续条件下几类二元向量平衡问题解的关系，利用KyFan不动点定理证明了解的存在性。