In this note, we show that a closed spin Riemannian manifold does not admit fill-in satisfying the dominant energy condition (DEC) if certain generalized mean curvature function is point-wise large.

In previous publications, the effect of inhomogeneous beam loading Landau cavities due to a nonuniform fill pattern in storage ring has been studied with aim predicting resulting longitudinal profiles bunches and their time offsets relative main rf [T. Olsson et al., Phys. Rev. Accel. Beams 21, 120701 (2018)]. This work was extended treat dipolar coupled-bunch modes driven by beam-excited highe...

We explore the problem of content-aware image fill with convolutional neural networks. Given an image that is partially masked, our goal is to generate realistic-looking content to fill the masked parts of the image. This task is also sometimes referred to as image completion or image inpainting. We experiment with several different network architectures for the problem, and we observe our most...