共查询到20条相似文献,搜索用时 718 毫秒
1.
R.A. Maller 《Stochastic Processes and their Applications》1978,8(2):171-179
Let Xi be iidrv's and Sn=X1+X2+…+Xn. When EX21<+∞, by the law of the iterated logarithm for some constants αn. Thus the r.v. is a.s.finite when δ>0. We prove a rate of convergence theorem related to the classical results of Baum and Katz, and apply it to show, without the prior assumption EX21<+∞ that EYh<+∞ if and only if for 0<h<1 and δ> , whereas whenever h>0 and . 相似文献
2.
Grzegorz Banaszak 《Comptes Rendus Mathematique》2003,337(9):575-580
Let l be an odd prime number, F denote any totally real number field and E/F be an Abelian CM extension of F of conductor f. In this paper we prove that for every n odd and almost all prime numbers l we have where Sn(E/F,l) is the Stickelberger ideal (Ann. of Math. 135 (1992) 325–360; J. Coates, p-adic L-functions and Iwasawa's theory, in: Algebraic Number Fields by A. Fröhlich, Academic Press, London, 1977). In addition if we assume the Quillen–Lichtenbaum conjecture then To cite this article: G. Banaszak, C. R. Acad. Sci. Paris, Ser. I 337 (2003). 相似文献
3.
Estimation d'une rupture en dépendance faibleChange point estimation for a weakly dependent sequence
Let be a stationary sequence governed by the model Yn=m(Xn)+σ(Xn)εn where is i.i.d. and independent from The latter sequence satisfy a weak dependence condition proposed by Doukhan and Louhichi in [2]. We provide a Central Limit Theorem for jumps in the regression function. Our method deals with linear local regression described in [4]. We use a variation on Lindeberg–Rio method as in [5]. To cite this article: P. Ango Nze, C. Prieur, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 267–270. 相似文献
4.
The cone CPn,q of completely positive linear transformations from to q is shown to be isometrically isomorphic to nq, the cone of nq by nq positive semidefinite matrices. Generalizations of scalar and matrix results to (where HPn,q represents the hermitian-preserving linear transformations) are discussed. Relationships among the completely positives, the set of positive semidefinite preservers , and its dual are given. Left and right facial ideals of CP are characterized. Properties of the joint angular field of values of a finite sequence of hermitian matrices H1,…, Hm are studied, leading to a characterization of . 相似文献
5.
Tom M. Apostol 《Journal of Number Theory》1982,15(1):14-24
An elementary proof is given of the author's transformation formula for the Lambert series relating Gp(e2πiτ) to Gp(e2πiAτ), where p > 1 is an odd integer and is a general modular substitution. The method extends Sczech's argument for treating Dedekind's function , and uses Carlitz's formula expressing generalized Dedekind sums in terms of Eulerian functions. 相似文献
6.
W Fernandez de la Vega 《Journal of Combinatorial Theory, Series B》1983,35(3):328-332
For any tournament T on n vertices, let h(T) denote the maximum number of edges in the intersection of T with a transitive tournament on the same vertex set. Sharpening a previous result of Spencer, it is proved that, if Tn denotes the random tournament on n vertices, then, as n → ∞. 相似文献
7.
E. Bolthausen 《Stochastic Processes and their Applications》1979,9(2):217-222
Let Xn be an irreducible aperiodic recurrent Markov chain with countable state space I and with the mean recurrence times having second moments. There is proved a global central limit theorem for the properly normalized sojourn times. More precisely, if , then the probability measures induced by {t(n)i/√n?√nπi}i?I(πi being the ergotic distribution) on the Hilbert-space of square summable I-sequences converge weakly in this space to a Gaussian measure determined by a certain weak potential operator. 相似文献
8.
《Topology and its Applications》1987,26(1):83-92
We modify various lemmas from Dydak's paper on the Vietoris-Smale theorem to obtain more general results. We consider closed subsets X and Y of paracompact spaces M, N respectively, and a map F:M→N such that F∥X:X→Y is closed and surjective and X=F-1(Y) to obtain the following result.(Theorem). If for each y ϵ Y and N is LCn+1, then the morphism in-pro- induced by the morphism is an isomorphism of in-pro-Grp for k⩽n and an epimorphism for k=n+1. 相似文献
9.
10.
James D Child 《Journal of Mathematical Analysis and Applications》1980,78(1):133-143
Let Ω denote a simply connected domain in the complex plane and let be the collection of all entire functions of exponential type whose Laplace transforms are analytic on Ω′, the complement of Ω with respect to the sphere. Define a sequence of functionals by , where F denotes the Laplace transform of f, Γ ? Ω is a simple closed contour chosen so that F is analytic outside and on Ω, and gn is analytic on Ω. The specific functionals considered by this paper are patterned after the Lidstone functions, L2n(f) = f(2n)(0) and L2n + 1(f) = f(2n)(1), in that their sequence of generating functions {gn} are “periodic.” Set gpn + k(ζ) = hk(ζ) ζpn, where p is a positive integer and each hk (k = 0, 1,…, p ? 1) is analytic on Ω. We find necessary and sufficient conditions for . DeMar previously was able to find necessary conditions [7]. Next, we generalize {Ln} in several ways and find corresponding necessary and sufficient conditions. 相似文献
11.
Robert Donaghey 《Journal of Combinatorial Theory, Series A》1980,28(1):111-114
For a formal power series with nonnegative integer coefficients, the compositional inverse of is shown to be the generating function for the colored planted plane trees in which each vertex of degree i + 1 is colored one of hi colors. Since the compositional inverse of the Euler transformation of f(t) is the star transformation [[g(t)]?1 ? 1]?1 of g(t), [2], it follows that the Euler transformation of f(t) is the generating function for the colored planted plane trees in which each internal vertex of degree i + 1 is colored one of hi colors for i > 1, and h1 ? 1 colors for i = 1. 相似文献
12.
Let Fn denote the ring of n×n matrices over the finite field F=GF(q) and let A(x)=ANxN+ ?+ A1x+A0?Fn[x]. A function is called a right polynomial function iff there exists an A(x)?Fn[x] such that for every B?Fn. This paper obtains unique representations for and determines the number of right polynomial functions. 相似文献
13.
Julia Mueller 《Journal of Number Theory》1982,14(3):327-331
Let 0 < γ1 ≤ γ2 ≤ … be the imaginary part of the zeros, and . Assuming the Riemann hypothesis, it is known that μ ≤ 0.68 and λ > 1. One suspects that μ = 0 and λ = +∞. The object of this note is to show that λ ≥ 1.9. 相似文献
14.
Barry Simon 《Journal of Functional Analysis》1985,63(1):123-136
The two lowest eigenvalues E0(λ), E1(λ) of a symmetric double well tunnelling problem ?Δ + λ2V as λ → ∞ are considered and they are compared to the two lowest eigenvalues is supported away from the well-bottoms of V. We determine the leading exponential splitting of various differences of the four numbers . Related problems are discussed. 相似文献
15.
F.Alberto Grünbaum 《Journal of Mathematical Analysis and Applications》1983,95(2):491-500
We exhibit a second-order differential operator commuting with the reproducing kernel each time that {φn(λ)} is one of the classical orthogonal polynomials: Jacobi, Laguerre, Hermite and Bessel. This is the analog of a known property in the study of time and band-limited signals. 相似文献
16.
Let E be an algebraic (or holomorphic) vectorbundle over the Riemann sphere 1(). Then Grothendieck proved that E splits into a sum of line bundles E = ⊕Li and the isomorphism classes of the Li are (up to order) uniquely determined by E. The Li in turn are classified by an integer (their Chern numbers) so that m-dimensional vectorbundles over 1 are classified by an m-tuple of integers .In this short note we present a completely elementary proof of these facts which, as it turns out, works over any field k. 相似文献
17.
The following estimate of the pth derivative of a probability density function is examined: , where hk is the kth Hermite function and Σi = 1nhk(p)(Xi) is calculated from a sequence X1,…, Xn of independent random variables having the common unknown density. If the density has r derivatives the integrated square error converges to zero in the mean and almost completely as rapidly as O(n?α) and O(n?α log n), respectively, where . Rates for the uniform convergence both in the mean square and almost complete are also given. For any finite interval they are O(n?β) and , respectively, where . 相似文献
18.
Baohua Fu 《Comptes Rendus Mathematique》2003,337(9):593-596
Let be an elliptic fibration on a K3 surface S. Then the composition gives an Abelian fibration on S[n]. Let E be the exceptional divisor of π, then symnφ°π(E) is of dimension n?1. We prove the inverse in this Note. To cite this article: B. Fu, C. R. Acad. Sci. Paris, Ser. I 337 (2003). 相似文献
19.
Let be a Dirichlet form in , where Ω is an open subset of n, n ? 2, and m a Radon measure on Ω; for each integer k with 1 ? k < n, let k be a Dirichlet form on some k-dimensional submanifold of Ω. The paper is devoted to the study of the closability of the forms E with domain and defined by: ki where 1 ? kp < ? < n, and where , gki denote restrictions of ?, g in to . Conditions are given for E to be closable if, for each i = 1,…, p, one has ki = n ? i. Other conditions are given for E to be nonclosable if, for some i, ki < n ? i. 相似文献
20.
D Zwick 《Journal of Mathematical Analysis and Applications》1984,104(2):435-436
For a(1) ? a(2) ? ··· ? a(n) ? 0, b(1) ? b(2) ? ··· ? b(n) ? 0, the ordered values of ai, bi, i = 1, 2,…, n, m fixed, m ? n, and p ? 1 it is shown that where is the integer such that and . The inequality is shown to be sharp. When p < 1 and a(i)'s are in increasing order then the inequality is reversed. 相似文献