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61.
Ursula Gritsch 《Proceedings of the American Mathematical Society》2000,128(11):3453-3460
We prove that the space of equivalence classes of -invariant connections on some -principle bundles over is weakly homotopy equivalent to a component of the second loop space .
62.
Mathematical Notes - 相似文献
63.
Sergei M. Ageev Dusan Repovs 《Proceedings of the American Mathematical Society》2002,130(5):1539-1550
Ancel's method of fiberwise trivial relations is applied to the problem of characterization of absolute equivariant extensors. We obtain a generalization of Jaworowski's theorem on characterization of equivariant extensors lying in to the case when the space is infinite-dimensional, has infinitely many orbit types and the acting compact group is not necessarily a Lie group.
64.
Constantinos Petropoulos Stavros Kourouklis 《Annals of the Institute of Statistical Mathematics》2001,53(4):746-759
Estimation of the quantile + of an exponential distribution with parameters (, ) is considered under an arbitrary strictly convex loss function. For obeying a certain condition, the inadmissibility of the best affine equivariant procedure is established by exhibiting a better estimator. The LINEX loss is studied in detail. For quadratic loss, sufficient conditions are given for a scale equivariant estimator to dominate the best affine equivariant one and, when exceeds a lower bound specified below, a new minimax estimator is identified. 相似文献
65.
The results of a previous paper on the equivariant homotopy theory of crossed complexes are generalised from the case of a discrete group to general topological groups. The principal new ingredient necessary for this is an analysis of homotopy coherence theory for crossed complexes, using detailed results on the appropriate Eilenberg–Zilber theory, and of its relation to simplicial homotopy coherence. Again, our results give information not just on the homotopy classification of certain equivariant maps, but also on the weak equivariant homotopy type of the corresponding equivariant function spaces. 相似文献
66.
本文讨论了一类平面D3等变映射的分歧和混沌性质.通过计算显示出映射随着参数的变化,从周期解走向混沌以及混饨吸引子由Z2-对称走向D3-对称的全过程.给出计算混沌吸引子的对称增加分歧扩张系统的算法,数值结果表明,两者相符. 相似文献
67.
1 IntroductionConsider the lnultivariate linear model (MLM) as follows:mX = Z AiBiC E (1)i= 1where X, Ai, Bi and C are p x nfp x qi(qi 5 p), qi x ki and ki x n matrices respectively, Z is ap x p definite positive matrix with p(C1) p 5 n and R(CL) G R(Cfu--,) g' g R(CI), p(.)and R(.) stand for the rank and the colunu spanned linear space Of a matriX respbctively.e = (e1,'2,... f e.), e1le21',f n are iid. p--variate random vectors with D(e1) = Z > 0,E(El) = 0, A: aild C: are … 相似文献
68.
基于奇点理论中光滑映射芽的接触等价关系,讨论含两组状态变量且分歧参数带有对称性的等变分歧问题及其开折的稳定性,得到了一些基本结果,并且用横截性条件刻划了等变分歧问题的稳定性. 相似文献
69.
Palanivel Manoharan 《Annals of Global Analysis and Geometry》1993,11(2):119-123
The free loop spaceLM of the space of smooth maps fromS
1 to a finite dimensional manifoldM is a Fréchet manifold equipped with the naturalS
1-action induced by the rotation. The regular cohomology theory and de Rham theorem does not deal with these symmetries. In order to involve this naturalS
1-action, the equivariant cohomology theories are developed for FréchetS
1-manifolds. We prove the equivariant de Rham theorem for certain class of FréchetS
1-manifolds, in particular for free loop spaces. 相似文献
70.
We prove an equivariant form of Hironaka's theorem on elimination of points of indeterminacy. Our argument uses canonical resolution of singularities and an extended version of Sumihiro's equivariant Chow lemma.