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We consider the cohomology of local systems on the moduli space of curves of genus 2 and the moduli space of Abelian surfaces. We give an explicit formula for the Eisenstein cohomology and a conjectural formula for the endoscopic contribution. We show how counting curves over finite fields provides us with detailed information about Siegel modular forms. To cite this article: C. Faber, G. van der Geer, C. R. Acad. Sci. Paris, Ser. I 338 (2004). 相似文献
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We consider the cohomology of local systems on the moduli space of curves of genus 2 and the moduli space of Abelian surfaces. We give an explicit formula for the Eisenstein cohomology and a conjectural formula for the endoscopic contribution. We show how counting curves over finite fields provides us with detailed information about Siegel modular forms. To cite this article: C. Faber, G. van der Geer, C. R. Acad. Sci. Paris, Ser. I 338 (2004). 相似文献
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The aim of this article is to prove the following result, which generalizes the Ferrand–Obata theorem, concerning the conformal group of a Riemannian manifold, and the Schoen–Webster theorem about the automorphism group of a strictly pseudo-convex CR structure: let M be a connected manifold endowed with a regular Cartan geometry, modelled on the boundary of the hyperbolic space of dimension d2 over , being , , or the octonions . If the automorphism group of M does not act properly on M, then M is isomorphic, as a Cartan geometry, to X, or X minus a point. 相似文献
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J. Mitropolsky 《Annali di Matematica Pura ed Applicata》1976,108(1):379-389
Résumé On étude des oscillations paramétriques des systèmes élastiques aux paramètres distribués. Les résultats obtenus se sont appuyés
essentiellement sur l'idée de N. N. Bogolubov concernant la stabilité de la position élevée du pendule au point de suspension
vibrant et sur les recherches de V. N. Tchélomeille sur l'amplification de la stabilité des systèmes flexibles sur lesquels
des forces périodiques de haute fréquence exercent une action.
A Dario Graffi, pour son 70-ème anniversaire
Entrata in Redazione il 16 luglio 1975. 相似文献
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A. Fathi 《Israel Journal of Mathematics》1978,29(2-3):302-308
We prove that the group of measure preserving transformations of [0, 1] is a simple group, i.e. has no non-trivial normal
subgroup.
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Maryvonne Spiesser 《Historia Mathematica》2000,27(4):155
The Compendy de la praticque des nombres (1471) is one of a number of commercial arithmetics produced in southern France during the medieval period. Its interest and originality rest in its treatment of problem-solving. The author of the text limited his treatment to an in-depth analysis of only a few types of problems, not treating particular cases but rather emphasizing general methods. The sources from which he drew were very close to the Liber abbaci of Leonardo Fibonacci and many of them were new to the southern French arithmetic tradition. Thus, the Compendy sheds new light on the transmission of arithmetic thought into Europe. Copyright 2000 Academic Press.Le Compendy de la praticque des nombres (1471) est un traité qui appartient au groupe des arithmétiques commerciales du Sud de la France. L'intérêt et l'originalité du texte résident dans la partie consacrée à la résolution de problèmes. L'auteur sélectionne quelques types de problèmes seulement, auxquels il consacre une longue étude, délaissant les cas particuliers pour privilégier les méthodes. Ce faisant, il utilise de nouvelles sources, proches du “Liber abbaci” de Léonard de Pise, étrangères aux autres arithmétiques françaises de la même famille. Le Compendy nous apporte ainsi un éclairage nouveau sur la transmission de l'algorisme. Copyright 2000 Academic Press.MSC subject classifications: 01A35; 01A40. 相似文献
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The main result of this paper is the establishment of the fullMüntz Theorem in C[0, l]. This characterizes thesequences of distinct, positive real numbers for which span{l, x1, x2, ...} is dense in C[0,1]. The novelty of this result is the treatment of the mostdifficult case when infii = 0 while supii = . The paper settlesthe L and L1 cases of the following. THEOREM (Full Müntz Theorem in Lp[0,1]). Let p [l, ].Suppose that is a sequence of distinct real numbers greater than –1/p. Then span{x0,x1, ...} is dense in Lp[0, 1] if and only if
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We propose an iterative algorithm to solve the exterior Helmholtz and Poisson problems. It can be written as an alternating Schwarz method which allows us to state a geometrical convergence result in the elliptic case. To cite this article: F. Ben Belgacem et al., C. R. Acad. Sci. Paris, Ser. I 336 (2003). 相似文献
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The main result of this paper characterizes generalizationsof Zolotarev polynomials as extremal functions in the Kolmogorov–Landauproblem
whereω(t) is a concave modulus of continuity,r, m: 1mr,are integers, andBB0(r, m, ω). We show that theextremal functionsZBhaver+1 points of alternance andthe full modulus of continuity ofZ(r)B: ω(Z(r)B; t)=ω(t) for allt[0, 1]. This generalizesthe Karlin's result on the extremality of classical Zolotarevpolynomials in the problem () forω(t)=tand allBBr. 相似文献
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We study the existence, uniqueness and stability of solutions of backward stochastic differential equations with random terminal time under new assumptions; then we establish a large deviation principle for the solutions of such equations, related to a family of Markov processes, the diffusion coefficient of which tends to zero. Finally we apply these results to the analysis of some singular perturbation problems for a class of nonlinear partial differential equations. 相似文献
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M. Bloznelis 《Lithuanian Mathematical Journal》1997,37(3):207-218
The paper gives estimates of the rate of convergence in the central limit theorems for stochastically continuous cadlag processes
proved recently by Bézandry and Fernique (Ann. Inst H. Poincare,28) and Bloznelis and Paulauskas (to appear inStoch. Proc. Appl.).
Research supported by the SFB 343 at Bielefeld, by a Grant from the Lithuanian Government, and by V.P. Grant 94.
Vilnius University, Naugarduko 24; Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania. Published
in Lietuvos Matematikos Rinkinys, Vol. 37, No. 3, pp. 280–294, July–September, 1997. 相似文献