9,131 research outputs found
Large Local Non-Gaussianity from General Single-field Inflation
We investigate the non-Gaussian signatures of ultra slow-roll inflation. The
bispectrum and the trispectrum are calculated with general initial conditions.
The trispectrum is of local shape, as in the case of the bispectrum. We show
that the prediction of local non-Gaussianity is robust again generalizing the
Bunch-Davies vacuum. The Suyama-Yamaguchi relation is saturated in this
scenario.Comment: 5 pages, one figur
Complete bounded -hypersurfaces in the weighted volume-preserving mean curvature flow
In this paper, we study the complete bounded -hypersurfaces in
weighted volume-preserving mean curvature flow. Firstly, we investigate the
volume comparison theorem of complete bounded -hypersurfaces with
and get some applications of the volume comparison theorem.
Secondly, we consider the relation among , extrinsic radius ,
intrinsic diameter , and dimension of the complete
-hypersurface, and we obtain some estimates for the intrinsic diameter
and the extrinsic radius. At last, we get some topological properties of the
bounded -hypersurface with some natural and general restrictions
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