The fractal structures of the sample path of a general subordinator and the random re-orderings of the Cantor set

In this paper we have found a general subordinator,X, whose range up to time 1,X([0, 1)), has similar structure as random re-orderings of the Cantor setK(ω).X([0, 1)) andK(ω) have the same exact Hausdorff measure function and the integal test of packing measure. Supported by the National Natural Science Foundation, the Excellent Young Faculty Foundation of the State Education Commission of China and the Foundation for the Scholars Coming Back from Abroad Hu Xiaoyu: born in Apr. 1964, Professor     

Quantitative Estimates of Outcrossing Rates in a Natural Population of Caldesia grandis （Alismataceae）

Outcrossing rate in a natural population of Caldesia grandis was estimated by the dominant random amplified polymorphism DNA (RAPD) marker using 10 open-pollinated progeny arrays of 24 individuals. The multilocus outcrossing rate estimated based on all 25 RAPD loci was 0.872 ±0.033 and the single-locus outcrossing rate was 0.795 ±0.032. Multilocus estimates did not differ significantly from the single-locus estimates. The fixation index, F, in the progeny estimated from RAPD data was -0.142 ±0.000. The estimates of multilocus outcrossing rates (t_m) and single-locus outcrossing rates (t_s) obtained from MLDT clearly indicate that outcrossing is predominant in the open-pollinated C. grandis population. An empirical analysis suggests that 15 should be the minimum number of dominant marker loci necessary to achieve robust estimates of t_m.     

多指标正交增量过程

引进多指标正交增量过程ξ((?)),(?)∈R_n,证明了用它能构造一个随机测度ξ(B)(B∈(?)_n).建立了关于正交增量过程的积分并给出多指标噪声的一般表达式。并证明了ξ((?))是宽右均方连续的有界规则正交增量过程,当且仅当它是均方连续多指标弱平稳过程的随机谱函数。     

关于2,3维广义随机游动

本文对广义随机游动中的ｋａｌｉｋｏｗ问题进行了部份研究，和到了在２，３维随机环境中的随机游动的常返，非常返，正常返，零常返的一些结果。     

机械零件可靠性计算的简化方法

本文根据干涉理论，提出了广义应力许用均值的概念和计算式，以及在正态分布 条件下零件的可靠性条件式：Ｚ≤［Ｚ］（或ｈ≥［ｈ］）；并利用离散系数的概念，导出 了工程设计中随机变量函数的离散系数的组合方法和常用公式；以及其方差的简化算 法，从而使机械零件的可靠性计算得以大幅度地简化．文中方法便于实际应用．     

SOME DISCUSSION ON THE CONDITIONS OF COMPLETE CONVERGENCE FOR SUMS OF B-VALUED RANDOM ELEMENTS

1. Introduction and Main ResultsSince the definition on complete convergence of real random variables was introduced by Hsuand Robbins[1], there have been extensive literature on the complete convergence of i.i.d. realvalued random variables, see Baum and Katz ([2]), Bat and Su ([3]). In 1989, Yul4] extendedsome results in Bat and Su ([3]) to real valued independent but not necessarily identicallydistributed case. The main purpose of this paper is to extend the results of Yu[4] to B-value…     

随机收缩偶与随机算子方程组的解

本文引入随机收缩偶,建立随机算子方程组公共随机解的存在性定理,使随机收缩理论与映像组公共随机不动点定理在Banach空间得以统一,并推广了随机收缩理论中的一些重要结果。     

A Group-Oriented （t,n） Threshold Signature Scheme with Traceable Signers

A group-oriented （t, n） threshold signature scheme employs the cryptographic techniques of secret share, allows any subset of t players out of n players to sign message on behalf of the group and disallows the creation of a valid signature if fewer than t players take part in the signature protocol. In this paper, we proposed a new group-oriented （t, n） threshold signature schemes with traceable signers based on Schnorr signature. The proposed scheme is proved traceable, robust and unforgeable against the ＂static＂ adversary with the discrete logarithm assumption in the random oracle model and existence of broadcast channel. The proofs of the strongest security （existential unforgeability against adaptively chosen message attacks under the discrete logarithm assumption） are provided in the random oracle model.     

The Laplace Functional and Moments for Markov Branching Chains in Random Environments

The concepts of random Markov matrix, Markov branching chain in random environment (MBCRE) and Laplace functional of Markov branching chain in random environment (LFMBCRE) are introduced. The properties of LFMBCRE and the explicit formulas of moments of MBCRE are given.     

B-值随机Dirichlet级数表示整函数的增长性

系统地研究了全平面收敛的B-值随机Dirichlet级数的增长性,得到了在一定条件下B-值随机Dirichlet级数在收敛平面上的增长(下)级几乎处处等于某Dirichlet级数增长(下)级,以及它与指数和系数的关系式.