共查询到17条相似文献,搜索用时 875 毫秒
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本文研究了关于重分形形式有效性的充分条件.利用Hausdorff重分形预测度Hμ和Hausdorff重分形测度Hq,tμ之间的关系,得到了重分形形式有效性的一个新的充分条件,推广了文献[2]中给出的关于重分形形式有效性充分条件的结果. 相似文献
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本文给出了由两个不同的分数布朗运动组成的重分数布朗运动的Strassen型泛函重对数律和局部Strassen型泛函重对数律.我们的结果也适用于由两个布朗运动组成的重布朗运动及由一个分数布朗运动和一个布朗运动组成的重过程.最后将上述结果推广到n重分数布朗运动中.推广了已有文献的相应结果. 相似文献
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本文研究了二重B-值随机Dirichlet级数线性增长性的问题.利用二重B-值随机变量列{Xmn}在某阶矩一致有界条件下的性质和Paley-Zygmund不等式,并结合二重Dirichlet级数的成果,获得了在一定条件下,二重B-值随机Dirichlet级数a.s.必然与二重Dirichlet级数有相同的线性增长性,推广了二重Dirichlet级数的线性增长性. 相似文献
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利用三重尺度方法对一类小周期椭圆方程进行了三重尺度渐近展开分析,构造了对应的三重尺度形式渐近展开式,得到了均匀化常数和均匀化方程.在形式渐近展开的基础上,构造了对应边值问题解的三重尺度渐近近似解,并分析了对应三重尺度形式渐近误差估计. 相似文献
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通过由重耦定理联系着的4价顶角进行基底改变,给出了自旋结网圈表象中的两个4价重标基,证明了它们之间的变换属于酉变换.用重耦理论的图式计算法,推出了体积算符对重标基作用可直接计算的重耦矩阵的图形表式和记号表式,并利用体积算符的本征值得到空间量子化的结果. 相似文献
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利用单积分计算重积分,是教材中的常见题型,而利用重积分计算单积分的题目确很少提及,作者例举了利用重积分计算单积分的例子,并阐明解题思路. 相似文献
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在该文中,作者应用扩散过程在Holder范数下的大偏差得到了扩散过程在Holder范数下的局部Strassen重对数律. 并且还得到了重Ito积分的泛函重对数律. 相似文献
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在该文中,作者应用扩散过程在Holder范数下的大偏差得到了扩散过程在Holder范数下的局部Strassen重对数律.并且还得到了重It■积分的泛函重对数律. 相似文献
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We provide a simple formula to compute the Hausdorff dimension of the attractor of an overlapping iterated function system
of contractive similarities satisfying a certain collection of assumptions. This formula is obtained by associating a non-overlapping
infinite iterated function system to an iterated function system satisfying our assumptions and using the results of Moran
to compute the Hausdorff dimension of the attractor of this infinite iterated function system, thus showing that the Hausforff
dimension of the attractor of this infinite iterated function system agrees with that of the attractor of the original iterated
function system. Our methods are applicable to some iterated function systems that do not satisfy the finite type condition
recently introduced by Ngai and Wang.
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In this paper, we give the definition of iterated order to classify functions of fast growth in the unit disc, and investigate the growth of solutions of linear differential equations with analytic coefficients of iterated order in the unit disc. We obtain several results concerning the iterated order of solutions. 相似文献
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提出了一种新的解第一类算子方程的迭代正则化方法,与通常的迭代正则化方法相比,提高了j次迭代正则解的渐近阶估计.同时,给出了后验正则化参数的选择. 相似文献
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研究了有限迭代级整系数的复线性微分方程,应用Nevalinna和Ahlfors的角域理论,得到了有关解的迭代级,零点迭代收敛指数以及角域中的零点分布的结果. 相似文献
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We consider the numerical solution of one-dimensional Fredholmintegral equations of the second kind by the Galerkin and collocationmethods and their iterated variants, using spline bases. Inparticular, we state and prove new superconvergence resultsfor the iterated solutions, under general smoothness requirementson the kernel and solution. We find that the smoothness requirementsfor the iterated collocation method are more stringent thanthose for the iterated Galerkin method, and show by examplethat these more stringent smoothness conditions are in a certainsense necessary. In the light of these results the Galerkinand collocation schernes are compared. 相似文献
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A. N. Frolov 《Vestnik St. Petersburg University: Mathematics》2013,46(4):180-186
The asymptotic behavior of small deviation probabilities for some iterated random processes is investigated. It is shown that, under certain conditions, iterated and noniterated processes have logarithmic asymptotics of the same character; otherwise, these asymptotics may differ substantially. Some iterated Gaussian processes are considered as an example. 相似文献