Topic
Distribution (differential geometry)
About: Distribution (differential geometry) is a research topic. Over the lifetime, 911 publications have been published within this topic receiving 10149 citations.
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01 Jan 2002
TL;DR: This paper shows, how the varying behaviour of customers in space in a system fed by a spatial arrival process can be adequately described, and presents a method to construct group operations by means of velocity tangent vector fields.
Abstract: Recently, no-waiting stations with spatial arrival process and arbitrary service time distribution have been analyzed [2, 3]. Such stations represent adequate models of, for example, mobile communication networks based on code division multiple access (CDMA) techniques. Also, the inclusion of customer movements in space in such models has been performed. In [4, 5], movements were represented as group operations, which map a region R of interest into itself. In this paper we present a method to construct these group operations by means of velocity tangent vector fields. Field curves are to be interpreted as curves along which customers move. We show, how the varying behaviour of customers in space (e.g. calls in progress in a mobile communication network model) in a system fed by a spatial arrival process can be adequately described. Former results allow to compute the transient as well as equilibrium distribution of numbers of customers in any Borel subset of R. AMS Subject Classification:60K25, 60K30, 90B18
2 citations
01 Sep 1982
TL;DR: In this article, the authors developed a general model for mixed mode microwave distribution manifolds based on isotropic plane wave sources of varying amplitudes that are distributed toroidally around the manifold.
Abstract: The 28-GHz microwave distribution manifold used in the ELMO Bumpy Torus-Scale (EBT-S) experiments consists of a toroidal metallic cavity, whose dimensions are much greater than a wavelength, fed by a source of microwave power. Equalization of the mixed mode power distribution ot the 24 cavities of EBT-S is accomplished by empirically adjusting the coupling irises which are equally spaced around the manifold. The performance of the manifold to date has been very good, yet no analytical models exist for optimizing manifold transmission efficiency or for scaling this technology to the EBT-P manifold design. The present report develops a general model for mixed mode microwave distribution manifolds based on isotropic plane wave sources of varying amplitudes that are distributed toroidally around the manifold. The calculated manifold transmission efficiency for the most recent EBT-S coupling iris modification is 90%. This agrees with the average measured transmission efficiency. Also, the model predicts the coupling iris areas required to balance the distribution of microwave power while maximizing transmission efficiency, and losses in waveguide feeds connecting the irises to the cavities of EBT are calculated using an approach similar to the calculation of mainfold losses. The model will be used to evaluate EBT-P manifold designs.
2 citations
Posted Content•
TL;DR: In this paper, the authors generalize the notion of contact manifold by allowing the contact distribution to have codimension two and show that the complex structure on a three-dimensional complex contact manifold is determined solely by the underlying contact distribution.
Abstract: We generalise the notion of contact manifold by allowing the contact distribution to have codimension two. There are special features in dimension six. In particular, we show that the complex structure on a three-dimensional complex contact manifold is determined solely by the underlying contact distribution.
2 citations
Posted Content•
TL;DR: In this article, the moduli space of super Riemann surfaces with holomorphic distribution is constructed as a smooth subsupermanifold of the space of maps from maps to maps.
Abstract: Let $M$ be a super Riemann surface with holomorphic distribution $\mathcal{D}$ and $N$ a symplectic manifold with compatible almost complex structure $J$. We call a map $\Phi\colon M\to N$ a super $J$-holomorphic curve if its differential maps the almost complex structure on $\mathcal{D}$ to $J$. Such a super $J$-holomorphic curve is a critical point for the superconformal action and satisfies a super differential equation of first order. Using component fields of this super differential equation and a transversality argument we construct the moduli space of super $J$-holomorphic curves as a smooth subsupermanifold of the space of maps $M\to N$.
2 citations
TL;DR: In this article, the authors observed the distribution of complex roots of the twisted tangent polynomials Tn,w(x) using numerical investigation, and gave a table for the solutions of the solutions.
Abstract: In [3], we introduced the twisted tangent numbers Tn,w and polynomials Tn,w(x). In this paper, we observe the distribution of complex roots of the twisted tangent polynomials Tn,w(x), using numerical investigation. Finally, we give a table for the solutions of the twisted tangent polynomials Tn,w(x).
2 citations