共查询到20条相似文献,搜索用时 31 毫秒
1.
Jongil Park 《Mathematische Zeitschrift》2002,240(2):405-421
In this paper we construct a family of simply connected spin non-complex symplectic 4-manifolds which cover all but finitely
many allowed lattice points () lying in the region . Furthermore, as a corollary, we prove that there exist infinitely many exotic smooth structures on for all n large enough.
Received: 29 August 2000 / in final form: 15 August 2001 / Published online: 28 February 2002 相似文献
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3.
L. V. Yakhno 《Journal of Applied and Industrial Mathematics》2010,4(4):600-605
A general algorithm is presented for transforming the exact solutions of the system of plane ideal plasticity of the Mises
medium by using the superposition principle for solutions which arises as a corollary of the fact that the original system
admits an infinite-dimensional symmetry group. As an example, there is considered the relation between the known exact solutions:
the Prandtl solution for a thin layer compressed by rough solid plates and the Nadai solution for the radial distribution
of stresses in a convergent channel in the shape of a flat wedge. 相似文献
4.
本文指出,交换的(复)W 代数的大部分结果对于实情形仍然成立,自然有周期为2同胚的差别.此外,不同于复情形,可分实Hilbert空间中不包含任何极小投影的交换实VN代数同构于L∞([0,1]),L∞r([0,1])或L∞([0,1])L∞r([0,1]). 相似文献
5.
Masayoshi Takeda 《Journal of Theoretical Probability》2018,31(2):741-756
We give a necessary and sufficient condition for the maximum principle of Schrödinger operators in terms of the bottom of the spectrum of time-changed processes. As a corollary, we obtain a sufficient condition for the Liouville property of Schrödinger operators. 相似文献
6.
In this paper, we obtain theorems of Barth–Lefschetz type in Sasakian geometry. As a corollary, this gives a new proof of a classical theorem due to J. Milnor. It also implies connectedness principle and Frankel's type theorem. 相似文献
7.
Olivier Menoukeu-Pamen Romuald Hervé Momeya 《Mathematical Methods of Operations Research》2017,85(3):349-388
In this paper, we present an optimal control problem for stochastic differential games under Markov regime-switching forward–backward stochastic differential equations with jumps. First, we prove a sufficient maximum principle for nonzero-sum stochastic differential games problems and obtain equilibrium point for such games. Second, we prove an equivalent maximum principle for nonzero-sum stochastic differential games. The zero-sum stochastic differential games equivalent maximum principle is then obtained as a corollary. We apply the obtained results to study a problem of robust utility maximization under a relative entropy penalty and to find optimal investment of an insurance firm under model uncertainty. 相似文献
8.
We construct a new family of irreducible unitary representations of a finitely generated virtually free group Λ. We prove furthermore a general result concerning representations of Gromov hyperbolic groups that are weakly contained in the regular representation, thus implying that all the representations in this family can be realized on the boundary of Λ. As a corollary, we obtain an analogue of Herz majorization principle. 相似文献
9.
1.IntroductionIn[1],Alavietal.gavethefollowingdecompositionconjecture.Conjecture.LetGbeagraphwith("1')edges.ThentheedgesetofGcanbedecomposedintonsetsgeneratinggraphsGI,G2,'IG.suchthatIE(Gi)I=i(fori=1,2,',n)andGiisisomorphictoasubgraphofGi 1fori=1,2,'.)n--1.AgraphGthatcanbedecomposedasdescribedinConjecturewillbesaidtohaveanAscendingSubgraphDecomposition(AlsoabbreviatedasASD).ThesubgraphsGIIG2,',G.aresaidtobemembersofsuchadecomposition.Furthermore,ifeachGiisastar(matching,pat… 相似文献
10.
Vladimir I. Koltchinskii 《Journal of Theoretical Probability》1994,7(1):73-118
Rates of convergence of the Komlos-Major-Tusnady type in the invariance principle for empirical processes indexed by functions are obtained. The conditions are given in terms of the empirical entropy and the accuracy of the Haar type approximation for the corresponding classes of functions. The recent results of Massart(25) as well as some new results for empirical characteristic functions are obtained as a corollary. 相似文献
11.
R. J. Hartberger 《Journal of Optimization Theory and Applications》1973,11(2):139-145
Many optimization problems in economic analysis, when cast as optimal control problems, are initial-value problems, not two-point boundary-value problems. While the proof of Pontryagin (Ref. 1) is valid also for initial-value problems, it is desirable to present the potential practitioner with a simple proof specially constructed for initial-value problems. This paper proves the Pontryagin maximum principle for an initial-value problem with bounded controls, using a construction in which all comparison controls remain feasible. The continuity of the Hamiltonian is an immediate corollary. The same construction is also shown to produce the maximum principle for the problem of Bolza. 相似文献
12.
Abel Klein 《偏微分方程通讯》2016,41(7):1040-1055
We study the local behavior of solutions of the stationary Schrödinger equation with singular potentials, establishing a local decomposition into a homogeneous harmonic polynomial and a lower order term. Combining a corollary to this result with a quantitative unique continuation principle for singular potentials, we obtain log-Hölder continuity for the density of states outer-measure in one, two, and three dimensions for Schrödinger operators with singular potentials, results that hold for the density of states measure when it exists. 相似文献
13.
Kazuhiro Kuwae 《Potential Analysis》2012,37(4):387-413
We give a stochastic proof of an extension of E. Calabi??s strong maximum principle under some geometric conditions in the framework of strong Feller diffusion processes associated to local regular semi-Dirichlet forms with lower bounds. As a corollary, our notion of subharmonicity implies a notion of viscosity subsolution in a stochastic sense. We can apply our result to singular geometric object like Alexandrov space, limit space under spectral distance of Riemannian manifolds with uniform lower Ricci curvature bound and so on. 相似文献
14.
Artur Hideyuki Tomita 《Topology and its Applications》2005,150(1-3):197-205
We show the existence of a p-compact group whose size has countable cofinality in a forcing model. As a corollary, we show that consistently there exists a countably compact group whose size has countable cofinality and its weight is larger than the size. 相似文献
15.
Eric Schippers 《Journal d'Analyse Mathématique》2003,90(1):217-241
We derive a generalization of the Grunsky inequalities using the Dirichlet principle. As a corollary, sharp distortion theorems
for bounded univalent functions are proven for invariant differential expressions which are higher-order versions of the Schwarzian
derivative. These distortion theorems can be written entirely in terms of conformai invariants depending on the derivatives
of the hyperbolic metric, and can be interpreted as ’Schwarz lemmas’. In particular, sharp estimates on distortion of the
derivatives of geodesic curvature of a curve under bounded univalent maps are given. 相似文献
16.
Albert Visser 《Archive for Mathematical Logic》1993,32(4):275-298
Summary We show that a consistent, finitely axiomatized, sequential theory cannot prove its own inconsistency on every definable cut. A corollary is that there are at least three degrees of global interpretability of theories equivalent modulo local interpretability to a consistent, finitely axiomatized, sequential theory U. 相似文献
17.
Jl Lijun Department of Mathematics Suzhou University Suzhou China 《中国科学A辑(英文版)》2006,49(10):1327-1340
An oriented tetrahedron is a set of four vertices and four cyclic triples with the property that any ordered pair of vertices is contained in exactly one of the cyclic triples. A tetrahedral quadruple system of order n (briefly TQS(n)) is a pair (X,B), where X is an nelement set and B is a set of oriented tetrahedra such that every cyclic triple on X is contained in a unique member of B. A TQS(n) (X,B) is pure if there do not exist two oriented tetrahedra with the same vertex set. In this paper, we show that there is a pure TQS(n) if and only if n = 2,4 (mod 6), n > 4, or n = 1,5 (mod 12). One corollary is that there is a simple two-fold quadruple system of order n if and only if n = 2,4 (mod 6) and n > 4, or n = 1,5 (mod 12). Another corollary is that there is an overlarge set of pure Mendelsohn triple systems of order n for n=1,3 (mod 6), n > 3, or n =0,4 (mod 12). 相似文献
18.
On the Algebraic Functional Equation of the Eigenspaces of Mixed Signed Selmer Groups of Elliptic Curves with Good Reduction at Primes above p
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Let p be an odd prime number,and let E be an elliptic curve defined over a number field which has good reduction at every prime above p.Under suitable assumptions,we prove that the η-eigenspace and the ■-eigenspace of mixed signed Selmer group of the elliptic curve are pseudoisomorphic.As a corollary,we show that the η-eigenspace is trivial if and only if the ■-eigenspace is trivial.Our results can be thought as a reflection principle which relates an Iwasawa module in a given eigenspace with another Iwasawa module in a "reflected" eigenspace. 相似文献
19.
非等腰梯形映射族MSS序列的唯一性 总被引:1,自引:0,他引:1
本文研究非等腰梯形映射族MSS序列的唯一性问题.我们证明在(约为0.361103…)时,对非等腰梯形映射族,给定一个MSS序列A,存在唯一的 , 使 相似文献
20.
The regularization parameter choice is a fundamental problem in Learning Theory since the performance of most supervised algorithms
crucially depends on the choice of one or more of such parameters. In particular a main theoretical issue regards the amount
of prior knowledge needed to choose the regularization parameter in order to obtain good learning rates. In this paper we
present a parameter choice strategy, called the balancing principle, to choose the regularization parameter without knowledge
of the regularity of the target function. Such a choice adaptively achieves the best error rate. Our main result applies to
regularization algorithms in reproducing kernel Hilbert space with the square loss, though we also study how a similar principle
can be used in other situations. As a straightforward corollary we can immediately derive adaptive parameter choices for various
kernel methods recently studied. Numerical experiments with the proposed parameter choice rules are also presented. 相似文献