国家自然科学基金(10531070)

作品数:24被引量:18H指数:3
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相关作者:韩东冯立华毛明志孙胜秋宗福季更多>>
相关机构:上海交通大学北京交通大学华东师范大学中国地质大学更多>>
相关期刊:《应用数学》《吉首大学学报(自然科学版)》《系统科学与数学》《Science China Mathematics》更多>>
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Stability vs.Optimality in Selfish Ring Routing
《Acta Mathematica Sinica,English Series》2014年第5期767-784,共18页Bo CHEN Xujin CHEN Jie HU 
Supported in part by China 973 Project(Grant No.2011CB80800);National Natural Science Foundation of China(Grant Nos.10531070,10721101,11222109 and 71101006);CAS Program for Cross & Cooperative Team of Science & Technology Innovation
We study asymmetric atomic selfish routing in ring networks, which has diverse practical applications in network design and analysis. We are concerned with minimizing the maximum latency of source-destination node-pai...
关键词:Selfish routing price of stability minimum maximum linear latency 
Potential Distribution on Random Electrical Networks
《Acta Mathematicae Applicatae Sinica》2011年第3期549-559,共11页Da-qian Qian Xiao-dong Zhang 
Supported by the National Natural Science Foundation of China (No.10531070 and 1091137);National Basic Research Program of China 973 Program (No. 2006CB805900);a grant of Science and Technology Commission of Shanghai Municipality (STCSM, No. 09XD1402500)
Let N = (G, c) be a random electrical network obtained by assigning a certain resistance for each edge in a random graph G ∈ G(n, p) and the potentials on the boundary vertices. In this paper, we prove that with ...
关键词:Electrical network potential distribution random graphs 
Z^2上相依渗流开簇的极限定理(英文)被引量:1
《应用概率统计》2010年第6期649-661,共13页许忠好 韩东 
supported by Mathematical Tianyuan Foundation (10926117);National Natural Science Foundation of China (10531070)
中心极限定理, 大偏差定理和大数定律等极限定理在概率论中起着很重要的角色. 本文我们研究Z2上一类相依渗流模型. 对此模型, 我们不仅证明了其无穷开簇的存在唯一性, 而且得到了关于格点盒子类极大开簇的中心极限定理.
关键词:极限定理 相依渗流 对偶 
ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES
《Acta Mathematica Scientia》2010年第5期1696-1708,共13页毛明志 李志民 
Project supported by National Natural ScienceFoundation of China(10531070);Research Foundation for Outstanding Young Teachers of China University of Geoscience(Wuhan) (CUGQNL0816)
In this article, we mainly discuss the asymptotic behavior for multi-dimensional continuous-time random walk in random environment with holding times. By constructing a renewal structure and using the point "environm...
关键词:random walk random environment central limit theorem law of large numbers renewal structure 
随机环境中一类Pólya罐模型的中偏差原理
《应用数学》2010年第3期563-568,共6页李家雄 毛明志 
国家自然科学基金资助项目(10531070);中国地质大学(武汉)优秀青年教师资助计划项目(CUGQNL0816)
本文考虑随机环境中一类Pólya罐模型,利用鞅方法获得了罐中球数目的分布符合中偏差原理,进而推广传统Pólya罐模型的极限定理.
关键词:Pólya罐模型 球分布 中偏差  
Two random walks on the open cluster of Z^2 meet infinitely often被引量:3
《Science China Mathematics》2010年第8期1971-1978,共8页Chen XinXing Chen DaYue 
supported in part by National Natural Science Foundation (Grant Nos.10625101,10531070);National Basic Research Program of China (Grant No.2006CB805900)
We prove that two independent continuous-time simple random walks on the infinite open cluster of a Bernoulli bond percolation in the lattice Z2 meet each other infinitely many times.An application to the voter model ...
关键词:random WALK PERCOLATION INFINITE collision property 
Contact Processes on Scale-free Networks
《Acta Mathematica Sinica,English Series》2010年第7期1383-1392,共10页Dayue CHEN Qi LIU 
Partly supported by National Natural Science Foundation of China (Grant Nos. 10625101 and 10531070);the 973 Program of the Ministry of Science and Technology (Grant No. 2006CB805900)
We investigate the contact process on random graphs generated from the configuration model for scale-free complex networks with the power law exponent β E (2, 3]. Using the neighborhood expansion method, we show tha...
关键词:SCALE-FREE contact process random graph configuration model EPIDEMICS 
完美匹配单圈图的维纳指数被引量:1
《上海交通大学学报》2010年第6期844-848,共5页陈娅红 
国家自然科学基金项目(10531070);国家重点基础研究发展计划(973)项目(2006CB805900);国家高技术研究发展计划(863)项目(2006AA11Z209);上海市优秀学科带头人计划项目(09XD1402500);浙江省教育厅科研项目(Y200909489)
主要研究单圈图的维纳指数的性质.给出阶数为2β的完美匹配单圈图的维纳指数下界,并刻画了达到下界的所有极图.
关键词:维纳指数 完美匹配 单圈图  
CONTACT PROCESS ON HEXAGONAL LATTICE
《Acta Mathematica Scientia》2010年第3期769-790,共22页姚强 李群昌 
Supported in part by the NNSF of China (10531070,10625101);the National Basic Research Program of China (2006CB805900)
In this article, we discuss several properties of the basic contact process on hexagonal lattice H, showing that it behaves quite similar to the process on d-dimensional lattice Zd in many aspects. Firstly, we constru...
关键词:Hexagonal lattice contact process critical value complete convergence theorem rate of growth 
统计过程控制的三个基本问题被引量:5
《工程数学学报》2010年第3期421-428,共8页韩东 宗福季 
香港特区自然科学基金(620707);国家自然科学基金(10531070)~~
本文围绕统计过程的监测、诊断和变点时间估计三个基本问题,首先概括地介绍了过程监测的最优控制图—累积和控制图;然后,详细介绍了如何利用多重累积和控制图对过程的异变进行统计诊断;最后简述了三种常用的变点估计方法:最大似然估计,S...
关键词:变点监测 统计诊断 质量管理 统计过程控制 
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