共查询到20条相似文献,搜索用时 20 毫秒
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《随机分析与应用》2013,31(1):69-77
Abstract The purpose of this paper is to construct a random Ishikawa iterative sequence for random strongly pseudo-contractive operator T in separable Banach spaces and to study that under suitable conditions this random iterative sequence converges to a random fixed point to T. 相似文献
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In this note we investigate the number of edges and the vertex degree in the generalized random graphs with vertex weights, which are independent and identically distributed random variables. 相似文献
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Xie Ping ding 《随机分析与应用》2013,31(3):383-394
In this paper, we study a class of random nonlinear variational inequalities in Banach spaces. By applying a random minimax inequahty obtained by Tarafdar and Yuan, some existence uniqueness theorems of random solutions for the random nonhnear variational inequalities are proved. Next, by applying the random auxiliary problem technique, we suggest an innovative iterative algorithm to compute the random approximate solutions of the random nonlinear variational inequahty. Finally, the convergence criteria is also discussed 相似文献
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李志龙 《数学物理学报(A辑)》2010,30(2):542-547
该文利用半序理论和随机压缩映象原理,得到了一类不连续随机增算子随机不动点的唯一存在定理.作为应用,考虑了R~n中含间断项的一阶随机微分积分方程初值问题. 相似文献
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We present a multiscale analysis for the exit measures from large balls in , of random walks in certain i.i.d. random environments which are small perturbations of the fixed environment corresponding
to simple random walk. Our main assumption is an isotropy assumption on the law of the environment, introduced by Bricmont
and Kupiainen. Under this assumption, we prove that the exit measure of the random walk in a random environment from a large
ball, approaches the exit measure of a simple random walk from the same ball, in the sense that the variational distance between
smoothed versions of these measures converges to zero. We also prove the transience of the random walk in random environment.
The analysis is based on propagating estimates on the variational distance between the exit measure of the random walk in
random environment and that of simple random walk, in addition to estimates on the variational distance between smoothed versions
of these quantities.
Partially supported by NSF grant DMS-0503775. 相似文献
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本文先讨论了一个KyFan截口定理的随机化形式,然后利用它讨论了一个隐式随机向量值变分不等式和一个显式随机向量值变分不等式的随机解的存在性. 相似文献
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Efraim Shmerling Kenneth J. Hochberg 《Proceedings of the American Mathematical Society》2002,130(9):2761-2770
We derive several new results on the asymptotic behavior of the roots of random polynomial equations, including conditions under which the distributions of the zeros of certain random polynomials tend to the uniform distribution on the circumference of a circle centered at the origin. We also derive a probabilistic analog of the Cauchy-Hadamand theorem that enables us to obtain the radius of convergence of a random power series. 相似文献
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Random Hermite differential equations: Mean square power series solutions and statistical properties
This paper deals with the construction of random power series solution of second order linear differential equations of Hermite containing uncertainty through its coefficients and initial conditions. Under appropriate hypotheses on the data, we establish that the constructed random power series solution is mean square convergent. We provide conditions in order to obtain random polynomial solutions and, as a consequence, random Hermite polynomial are introduced. Also, the main statistical functions of the approximate stochastic process solution generated by truncation of the exact power series solution are given. Finally, we apply the proposed technique to several illustrative examples comparing the numerical results with respect to those provided by other available approaches including Monte Carlo simulation. 相似文献
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Zhaojuan Wang 《Journal of Mathematical Analysis and Applications》2011,384(1):160-172
In this paper we study the asymptotic dynamics for stochastic reaction-diffusion equation with multiplicative noise defined on unbounded domains. We investigate the existence of a random attractor for the random dynamical system associated with the equation. The asymptotic compactness of the random dynamical system is established by using uniform a priori estimates for far-field values of solutions and a cut-off technique. 相似文献
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本文引入任意随机变量序列随机极限对数似然比概念,作为任意相依随机序列联合分布与其边缘乘积分布“不相似”性的一种度量,利用构造新的密度函数方法来建立几乎处处收敛的上鞅,在适当的条件下,给出了任意受控随机序列的一类随机偏差定理. 相似文献
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Amine Asselah 《Probability Theory and Related Fields》2008,141(1-2):19-45
We obtain large deviations estimates for the self-intersection local times for a simple random walk in dimension 3. Also,
we show that the main contribution to making the self-intersection large, in a time period of length n, comes from sites visited less than some power of log(n). This is opposite to the situation in dimensions larger or equal to 5. Finally, we present an application of our estimates
to moderate deviations for random walk in random sceneries.
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Abstract In the case of real-valued random variables, the concept of absolute continuity is well-defined in terms of the absolute continuity of the probability law of a random variable with respect to the usual Lebesgue measure, since both are acting on the same Borel sigma algebra on the real line. Naturally, the same extends to random vectors with real components. A satisfactory and commonly accepted definition of absolute continuity of random closed sets is not available, while in various applications this would help in clarifying the kind of randomness of a random set. We introduce here a definition that is shown to be an extension of the concept related to real-valued random variables, such that also for random sets it is true that absolute continuity implies continuity. Significant examples and counter examples are presented to illustrate the role of our definition in concrete cases. The relationship between our definition and others in well-accepted literature is shown. 相似文献
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N. Shahzad 《Mathematical and Computer Modelling》2005,41(13):1431-1436
We prove some random fixed-point theorems for random maps which are not necessarily continuous. This may lead to the discovery of some new results in random fixed-point theory for discontinuous maps. 相似文献