一种新的上边缘算子及其应用

本文给出了以乘积形式定义的上边缘算子. 在非阿贝尔规范场存在的情况下, 利用这种算子对空间平移群的结合律进行了讨论. 另外还讨论了SU(2)和SO(3规范)理论中的磁单极的量子化条件.     

EZ模型中的有限尺寸效应

研究EZ模型中的有限尺寸效应.当经纪人数目N足够大及发生交易的概率a1/N，发现有限尺 寸效应是重要的.此时，系统几乎变成包含所有经纪人的单一集团.而对较小集团，尺寸分布 仍然服从幂函数律，但是指数因涨落效应而改变.但当a1/N时，可以论证涨落效应不重要 ，因而平均场理论是严格成立的. 关键词： EZ模型 有限尺寸效应 涨落 平均场理论     

普遍的Chern-Simons链和它们的应用

本文将Chern形式按它子流形上的外微分形式的阶数展开, 很容易地给出了一些Chern-Simons链. 并讨论了某些约束条件下, 子流形间Chern形式的递推关系和它们的一些应用.     

Sub-strategy updating evolution in minority game

In this paper, we propose and study a new evolution model of minority game. Any strategy in minority game can be regarded as composed of sub-strategies corresponding to different histories. Based on the evolution model proposed by Li－Riolo－Savit, in which those agents that perform poorly may update their strategies randomly. This paper presents a new evolution model in which poor agents update their strategies by changing only a part of sub-strategy sets with low success rate. Simulation result shows that the new model with sub-strategy-set updating evolution mechanism may approach its steady state more quickly than the Li－Riolo－Savit model. In the steady state of the new model, stronger adaptive cooperation among agents will appear, implying that the social resource can be allocated more rationally and utilized more effectively compared with the Li－Riolo－Savit model.