本原代换的非周期不动点的Hausdorff维数函数

设 Ａ＝｛０, １,…, Ｎ－１｝,ξ是 Ａ上的一个本原代换, ｕ是ξ的非周期不动点．记 Ｘ（ξ）＝Ｏｒｂ（ｕ） 本文证明了：Ｘ（ξ）的Ｈａｕｓｄｏｒｆｆ维数函数是ｈ（ｘ）＝－ｌｏｇＮ／ｌｏｇｘ     

具有随机足标的弱相依高斯序列最大值的极限分布

设ξ1,ξ2,…为标准化的平稳高斯序列.Mn=max.ξi,协方差Υn=Cov(ξ1,ξn+1)=E(ξ1ξn+1).{N(n)}为-列取正整数的随机变量,满足 0,n→∞.在条件Υnlogn→0,n→∞之下,给出了 MN(n)的极限分布.     

二阶线性系统稳定性判定的数值方法

A为N阶方阵,N=2n,设A的特征值为ξ_1,ξ_2,…,ξ_N,根据[3]有如下定义: 定义1.若所有的 Reξ_i<0,则称系统(1.1)是渐近稳定的,相应的A阵叫渐近稳定阵;若所有的Reξ_i≤0且对所有的Reξ_k=0的ξ_k对应的初级因子均是线性的,则称系     

Von Neumann代数上P点ξ-Lie导子的刻画

设A是没有I_1型中心直和项的von Neumann代数,P∈A是一个非中心的空核投影且其中心包络是I.研究了Von Neumann代数上P点ξ-Lie导子δ,得到了对任意A∈A,存在T∈A使得δ(A)=AT-TA,这里非零数ξ∈F且ξ≠±1.     

因子von Neumann代数上的非线性混合ξ-Jordan三重可导映射

设■是一个的因子von Neumann代数.我们证明了每一个非线性混合ξ-Jordan(ξ≠0,-1)三重可导映射Φ:■→■都是可加的*-导子,且对任意的A∈■,有Φ(ξA)=ξΦ(A).     

素＊-环上非线性保XY-ξYX~＊积

设M是包含非平凡投影P的单位素*-环.证明了非线性双射φ:M→M对所有A,B∈M,满足φ(AB-ξBA*)=φ(A)φ(B)—ξφ(B)φ(A)*.若ξ=1,则φ是线性或共轭线性的*-同构;若ξ≠1,则φ是*-环同构,且对所有A∈M,有φ(ξA)=ξφ(A).     

两个离散型随机变量相互独立的等价形式

<正> 设ξ和η是概率场(Ω,A,P)上的实随机变量.若对任意的实数x 和y 有等式P(ξ相似文献   

Y-数值半径的乘法因子

设A是一个n阶复数矩阵,y=(ξ1,…,ξn)是n维复数组,称ry(A)=max{|∑ξixi*Axi|∶xi*xi=1,xi∈Cn}为矩阵A的Y-数值半径,其中Cn表示复数域C上的n维向量空间.当y=(1,0,…,0)时,Y-数值半径变为标准数值半径r(A)=max{|x*Ax|∶x*x=1}.证得当sum from i=1 to n(ξi)≠0且ξi不都相等时,ry是广义矩阵范数,同时还讨论了ry的乘法因子.     

障碍问题解的局部正则性和局部有界性

该文在算子A(x,ξ):Ω×R~n→R~n的强制性条件和控制增长条件下,考虑A-调和方程divA(x,▽u(x))=0的κ_(Ψ,θ)-障碍问题的解.A的原型是A(x,ξ)=(μ~2+|ξ|~2)~((p-2)/2)ξ,μ≥0.得到了局部正则性和局部有界性结果.     

因子von Neumann代数上的非线性*ξ-Lie可导映射

设A是维数大于1的因子von Neumann代数且ξ≠1.本文给出了A上非线性*ξ-Lie可导映射的结构·作为应用,得到了B(H)上非线性*ξ-Lie可导映射的具体形式.     

Study of the blow-up of solutions of systems of equations of hydrodynamic type

Mathematical Notes - We study the initial boundary-value problem for three-dimensional systems of equations of pseudoparabolic type. The system is similar to the Oskolkov system, but differs from...     

Distribution of types of symmetry of tensors of high degree

The asymptotic distribution of tensors of degree N in symmetry types is studied in this paper.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 181–186, 1986.     

Characterization of types of asymptotic discernibility of families of hypotheses

We give a characterization of the types of asymptotic discernibility of families of hypotheses in the case of hypothetical measures that are not, in general, mutually absolutely continuous. The case when the logarithm of the likelihood ratio admits an asymptotic expansion of the type of an expansion with local asymptotic normality is examined in detail. Examples are studied.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 64–71, 1987.     

Axiomatizability of reducts of algebras of relations

In this paper, we prove that any subreduct of the class of representable relation algebras whose similarity type includes intersection, relation composition and converse is a non-finitely axiomatizable quasivariety and that its equational theory is not finitely based. We show the same result for subreducts of the class of representable cylindric algebras of dimension at least three whose similarity types include intersection and cylindrifications. A similar result is proved for subreducts of the class of representable sequential algebras. Received October 7, 1998; accepted in final form September 10, 1999.     

Lengths of periods of continued fractions of square roots of integers

Empirical study of the period’s length T of the continued fractions of $\sqrt{Q}$ (for growing integers Q) shows several strange asymptotical results, for instance, $T\leq C\sqrt{Q}\ln{Q}$ . These results show important differences between the statistics of the elements of the continued fractions of random real numbers and of square roots of random integers.