关于分形函数的诱导导数

本文尝试着给出在R中的分形集上的分形函数的一种导数，希望它会给分形几何的研究提供一种分析方法．     

具有梯度吸收项和奇性初值的半线性抛物型方程

本文讨论具有奇性初值u(x,0)=A|x|-μ,x≠0的Cauchy问题ut=△u-| u|puq在Rn×(0,∞)上自相似解的存在性和唯一性,其中A∈[0,∞),2＞p＞0,q＞0以及p=q＞1.我们也证明了该自相似解连续地依赖于初值A.     

Providing QoS guarantees for self-similar traffic flows

1.INTRODUCTION Recentanalysesofvariouspacket basednetworking showthatnetworktraffichasvariabilityovermany timescales.Itsperformancedifferswithresultsof queuetheorythatisbasedonthePoissondistribu tion.Statisticalanalysesoflargetrafficdatasetshave revealedthatthestatisticalcharacteristicsofrealtraf ficmaybebestdescribedbyself similarity.Self simi larityimpliesthepresenceoflong rangedependence (LRD)inthetraffic.Thatis,thereexistnon negli giblepositivecorrelationintheburstbehaviorofthe …     

Some Results about the Sample Path Properties of Markov Processes with Independent Self-Similar Components

This paper considers a special class of operator self-similar processes Markov processes {X（t）, t≥0} with independent self-similar components, that is, X （ t ） =（X^1（t）,…,X^d（t））, where {X^i（t）,t≥0}, i=1,2,…,d are d independent real valued self-similar Markov processes. By means of Brel-Cantelli lemma, we give two results about asymptotic property as t→∞ of sample paths for two special classes of Markov processes with independent self-similar components.     

一个特殊分形集的Hausdorff测度估计

利用满足开集条件的自相似分形的性质，得到一个特殊分形Hausdorff测度的上界估计公式。由此公式，对它的Hausdorff测度的上界进行了估计，并用两种方法估计了它的Hausdorff测度的下界。     

一个自相似分形集的Hausdorff测度估计

利用满足开集条件的自相似分形的性质，得到了一个特殊分形Hausdorff测度的上界估计公式．由此公式以及网测度分别对它的Hausdorff测度的上界进行了估计，并估计了它的Hausdorff测度的下界．     

A new self-adapting admission control algorithm for differential service in Web clusters

A new admission control algorithm considering the network self-similar access characteristics is proposed. Taking advantage of the mathematical model of the network traffic admission control which can effectively overcome the self-similar characteristics of tile network requests, through the scheduling of the differential service queue based on priority while at the same time taking into account various factors including access characteristics of requests, load information, etc. smoothness of the admission control is ensured by the algorlthm proposed in this paper. We design a non-linear self-adapting control algorithm by introducing an exponential admission function, thus overcomes the negative aspects introduced by static threshold parameters. Simulation results show that the scheme proposed in this paper can effectively improve the resource utilization of the clusters, while at the same time protecting the service with high priority. Our simulation resuhs also show that this algorithm can improve system stability and reliability too.     

关于自相似集存在最好Hs-几乎处处闭集覆盖的一个新充分必要条件

该文得到了自相似集存在最好Hs-几乎处处闭集覆盖的一个新充分必要条件,从而改进和推广了许绍元、李国祯在2004年的一个结果.作为应用,我们讨论了直线上的一个满足强分离开集条件的自相似集.     

The convergence of statistically self-similar sets and the upper bound and lower bound of Hausdorff measure

We constructed a class of self-similar sets and proved the convergence in this paper. Besides these, the upper bound and lower bound of Hausdorff measures of them were given too. Supported by the National Natural Science Fundation and the Doctral Programme Fundation of China Hu Dihe: born in May 1935, Professor     

The structure and the sufficint and necessary conditions for generalized statistically self-similar sets

We constructed a class of generalized statistically self-similar sets and give the necessary and sufficent conditions to ensure a random recursive set being a generalized statistically self-similar set. The statistically self-similar sets defined by Hutchinson, Falconer, Graf are the special cases of ours. Foundation item: Supported by the National Natural Science Foundation of China Biography: DENG Ai-jiao (1974-), female, Ph.D. candidate, research interes: is in stochastic process and random ractal