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61.
We study for a class of symmetric Lévy processes with state space R n the transition density pt(x) in terms of two one-parameter families of metrics, (dt)t>0 and (δt)t>0. The first family of metrics describes the diagonal term pt(0); it is induced by the characteristic exponent ψ of the Lévy process by dt(x, y) = 1/2tψ(x-y). The second and new family of metrics δt relates to 1/2tψ through the formulawhere F denotes the Fourier transform. Thus we obtain the following "Gaussian" representation of the transition density: pt(x) = pt(0)e- δ2t (x,0) where pt(0) corresponds to a volume term related to tψ and where an "exponential" decay is governed by δ2t . This gives a complete and new geometric, intrinsic interpretation of pt(x). 相似文献
62.
We study experimentally the impact of a plastic bead on a rotating wall made of steel (velocity Ω; radial position x0). The results show that the restitution coefficient is directly function of the impact velocity x0Ω and is invariant by changing frame reference. The influence of the height of release of the particle on its angular velocity after impact is also studied. We observe an increase of the angular velocity with height followed by a saturation. We propose an interpretation for this evolution considering that the particle may roll without sliding during all the impact. This physical feature is not always taken into account in existing models of impact between rigid bodies. To cite this article: F. Rioual et al., C. R. Mecanique 336 (2008). 相似文献
63.
利用映射的Fréchet可微的概念研究具约束的向量均衡问题的弱有效解,Henig有效解,超有效解以及全局有效解的最优性条件,在不具任何凸性条件下给出了的向量均衡问题的K-T必要性条件,在加上凸性条件下给出了向量均衡问题的K-T充分性条件。 相似文献
64.
LUO Shun-Long 《理论物理通讯》2001,36(3):257-258
By virtue of the well-known concept
of Fisher information in the theory of statistical inference, we
obtain an inequality chain which generalizes and
refines the conventional Heisenberg uncertainty
relations. 相似文献
65.
66.
Zdeněk Fiala 《Comptes Rendus Mecanique》2004,332(2):97-102
The infinite dimensional Riemannian geometry of Riemannian metrics is employed to propose novel objective time derivative by means of covariant derivative. To cite this article: Z. Fiala, C. R. Mecanique 332 (2004). 相似文献
67.
Based on the use of two different preparation procedures for reconstituting triaxial samples of sand, i.e. wet tamping and dry pluviation, significant differences in associated mechanical behaviour are observed on a reference sand with respect to the phenomenon of ‘static’ liquefaction. Wet tamping favours the initiation of liquefaction instability, whereas dry pluviation favours a more stable behaviour, less susceptible to liquefaction. Microscopic observation of corresponding sand specimens allows us to identify two well differentiated structures, i.e., for wet tamping, an irregular structure with predominance of aggregates (aggregated grains) and macropores, very contractant and unstable and, for dry pluviation, a more regular structure, without macropores, more dilatant and more stable. These observations show the importance of further characterization, based on the introduction of appropriate parameters, of the initial structure of sandy materials, strongly dependant upon their mode of formation (natural or artificial). To cite this article: N. Benahmed et al., C. R. Mecanique 332 (2004). 相似文献
68.
69.
70.
研究了广义Liénard系统初值问题解的唯一性问题.利用李普希兹条件和隐函数定理,我们得到了此系统解的存在唯一性定理,推广了相应的结果. 相似文献