共查询到20条相似文献,搜索用时 15 毫秒
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G. Rauzy 《Monatshefte für Mathematik》1977,83(4):315-329
LetX be a compact metric space, a probability measure onX, T a measure preserving transformation ofX into itself. Furthermore, letZ be a compact abelian group, andS the skew-product defined onX×Z by the formula:S(x,z)=(T x,z+(x)) where is some map fromX toZ. It is known that under the hypothesis of unique ergodicity for the triple (X, ,T) and some suitable conditions of continuity onT and , the triple (X×Z,m,S) wherem is the product measure of by the Haar measure onZ is uniquely ergodic if and only if an associated functional equation has no non trivial solution.—We introduce here a generalization of unique ergodicity (which appears quite naturally when studying well distributed sequences) and prove about it the same kind of results. 相似文献
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Let (x) denote the number of those integers n with (n) x, where denotes the Euler function. Improving on a well-known estimate of Bateman (1972), we show that (x)-Ax R(x), where A=(2)(3)/(6) and R(x) is essentially of the size of the best available estimate for the remainder term in the prime number theorem. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1997,324(9):977-980
In this paper, we introduce the notion of polytopes with integral structure, which generalizes the notion of usual polytopes whose vertices have integral coordinates. Then we consider a symmetrizable Kac-Moody algebra. For every dominant weight λ and every element of the Weyl group w, we construct a polytope with integral structure such that its Ehrhart polynomial describes the dimension of the Demazure module of highest weight nλ associated to w. 相似文献
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Ludovic Marquis 《Geometriae Dedicata》2010,147(1):47-86
A projective mirror polyhedron is a projective polyhedron endowed with reflections across its faces. We construct an explicit
diffeomorphism between the moduli space of a mirror projective polyhedron with fixed dihedral angles in
(0,\fracp2]{(0,\frac{\pi}{2}]}, and the union of n copies of
\mathbbRd{\mathbb{R}^{d}}, when the polyhedron has the combinatorics of an ecimahedron, an infinite class of combinatorial polyhedra we introduce here. Moreover, the integers n and d can be computed explicitly in terms of the combinatorics and the fixed dihedral angles. 相似文献
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Agathe Guilloux 《Comptes Rendus Mathematique》2006,342(4):275-278
We consider the problem of estimating the cumulative distribution function (cdf) G of a non-negative random variable (r.v.) X from the observation of a biased r.v. Y with cdf , where w is an unknown weighting function. We assume moreover that the random sample with common cdf is right-censored. We construct an estimator for the cdf G and state its strong consistency and weak convergence. To cite this article: A. Guilloux, C. R. Acad. Sci. Paris, Ser. I 342 (2006). 相似文献
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Dans ce travail, on étudie l’équirépartition et l’équirépartition harmonique des coefficients de Fourier des fonctions L de carrés et de cubes symétriques d’une forme primitive. 相似文献
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Michel Balazard 《Archiv der Mathematik》2008,90(1):31-38
We give an identity for the summatory function of the generalized von Mangoldt function
Received: 19 February 2007 相似文献
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Frédéric Ferraty Ali Laksaci Amel Tadj Philippe Vieu 《Comptes Rendus Mathematique》2012,350(13-14):717-720
We consider a kernel estimate of the regression when the response variable is in a Banach space and the explanatory variable takes its values in a semi-metric space. Our main result states the almost complete convergence (with rate) of the constructed estimate when the sample considered is a β-mixing sequence. 相似文献
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Jean Fresnel 《Archiv der Mathematik》2013,100(6):521-531
Let R be an Euclidean domain, M n (R) the R-module of matrices with n rows and n columns, V an intersection of n?1 affine hyperplanes of M n (R). Assume V is not empty. Then, for all a in R, there exists a matrix in V with determinant equal to a. 相似文献
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R. Meziani 《Bulletin of the Brazilian Mathematical Society》1996,27(1):23-53
Résumé Dans ce travail, on s'intéresse à la classification analytique de certains types d'équations différentielles de (2,0) de la forme =ydy+...=O Cette classification est en général donnée par celle de l'holonomie projective apparaissant dans la résolution de . Dans un cas spécial la classification est donnée par celles de l'holonomie associée à l'unique séparatrice de . On précise l'espace de modules et on prouve la rigidité générique de .
L'auteur remercie l'IRMAR pour l'accueil qu'il a rencontré durant ses séjours (long et courts) à l'institut. 相似文献
In this paper we study the analytic classification of class of differential equations =ydy+...=O in (2,0). We prove that generically they are rigid. We also give the moduli spaces in special cases.
L'auteur remercie l'IRMAR pour l'accueil qu'il a rencontré durant ses séjours (long et courts) à l'institut. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1998,326(5):567-572
A contact structure on a Hurwitz space of genus n hyperelliptic curves is constructed. It is defined with the help of a family of meromorphic forms that may also be used to construct action coordinates for the “geodesics on the ellipsoid” system. 相似文献
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E. Kowalski 《Archiv der Mathematik》2007,88(3):220-234
This paper answers a question of Clozel and Ullmo, showing that certain sequences of adelically-defined probability measures
defined on an adelic quotient of a solvable group converge to the uniform measure on that quotient. This turns out to depend
on any non-trivial estimate for classical Kloosterman sums. At the end, a “horizontal” analogue of the problem is stated and
solved using a result of Duke, Friedlander and Iwaniec.
Received: 30 November 2005 相似文献