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991.
Gerhard Larcher Harald Niederreiter Wolfgang Ch. Schmid 《Monatshefte für Mathematik》1996,121(3):231-253
A detailed study of digital (t, m, s)-nets and digital (T,s)-sequences constructed over finite rings is carried out. We present general existence theorems for digital nets and sequences and also explicit constructions. Special attention is devoted to the case where the finite ring is a residue class ring of the integers. This study is motivated by the problem of numerical integration of multivariate Walsh series by quasi-Monte Carlo methods, for which we also provide a general error bound.The third author was supported by the CEI Project PACT, WP5.1.2.1.3. 相似文献
992.
Like minimal surface immersions in 3-space, pluriharmonic maps into symmetric spaces allow a one-parameter family of isometric
deformations rotating the differential (“associated family”); in fact, pluriharmonic maps are characterized by this property.
We give a geometric proof of this fact and investigate the “isotropic” case where this family is constant. It turns out that
isotropic pluriharmonic maps arise from certain holomorphic maps into flag manifolds. Further, we also consider higher dimensional
generalizations of constant mean curvature surfaces which are K?hler submanifolds with parallel (1,1) part of their soecond
fundamental form; under certain restrictions there are also characterized by having some kind of (“weak”) associated family.
Examples where this family is constant arise from extrinsic K?hler symmetric spaces.
Received: 8 July 1997 相似文献
993.
994.
We prove a formula expressing the motivic integral (Loeser and Sebag, 2003) [34] of a K3 surface over C((t)) with semi-stable reduction in terms of the associated limit mixed Hodge structure. Secondly, for every smooth variety over a complete discrete valuation field we define an analogue of the monodromy pairing, constructed by Grothendieck in the case of abelian varieties, and prove that our monodromy pairing is a birational invariant of the variety. Finally, we propose a conjectural formula for the motivic integral of maximally degenerate K3 surfaces over an arbitrary complete discrete valuation field and prove this conjecture for Kummer K3 surfaces. 相似文献
995.
We study the local-in-time regularity of the Brownian motion with respect to localized variants of modulation spaces and Wiener amalgam spaces . We show that the periodic Brownian motion belongs locally in time to and for (s−1)q<−1, and the condition on the indices is optimal. Moreover, with the Wiener measure μ on T, we show that and form abstract Wiener spaces for the same range of indices, yielding large deviation estimates. We also establish the endpoint regularity of the periodic Brownian motion with respect to a Besov-type space . Specifically, we prove that the Brownian motion belongs to for (s−1)p=−1, and it obeys a large deviation estimate. Finally, we revisit the regularity of Brownian motion on usual local Besov spaces , and indicate the endpoint large deviation estimates. 相似文献
996.
Shuangqian Liu 《Journal of Differential Equations》2011,250(2):623-674
This paper is concerned with the diffusive expansion for solutions of the rescaled Boltzmann equation in the whole space
(0.1) 相似文献
997.
Yutaka Konomi 《Journal of Number Theory》2011,131(6):1062-1069
We study the relation between the minus part of the p-class subgroup of a dihedral extension over an imaginary quadratic field and the special value of the Artin L-function at 0. 相似文献
998.
Cristian Virdol 《Journal of Number Theory》2011,131(6):1048-1053
In this paper we prove Tate conjecture for twisted Picard modular surfaces. 相似文献
999.
Dongho Byeon 《Journal of Number Theory》2011,131(8):1513-1529
Let m be a positive integer and fm(x) be a polynomial of the form fm(x)=x2+x−m. We call a polynomial fm(x) a Rabinowitsch polynomial if for and consecutive integers x=x0,x0+1,…,x0+s−1, |fm(x)| is either 1 or prime. In this paper, we show that there are exactly 14 Rabinowitsch polynomials fm(x). 相似文献
1000.
J.F. Jardine 《Journal of Pure and Applied Algebra》2011,215(1):77-88
Suppose that M is a simplicial model category and that F is a contravariant simplicial functor defined on M which takes values in pointed simplicial sets. This note displays conditions on the simplicial model category M and the functor F such that F is representable up to weak equivalence. The conditions on F are homotopy coherent versions of the classical conditions for Brown representability, while M should have the fundamental properties of the stable model structure for presheaves of spectra on a Grothendieck site. 相似文献