### A Survey of Algorithms for Distributed Charging Control of Electric Vehicles in Smart Grid. (arXiv:1911.06500v1 [eess.SY])

Electric vehicles (EVs) are an eco-friendly alternative to vehicles with internal combustion engines. Despite their environmental benefits, the massive electricity demand imposed by the anticipated proliferation of EVs could jeopardize the secure and economic operation of the power grid. Hence, proper strategies for charging coordination will be indispensable to the future power grid. Coordinated EV…

### A Neural Network Assisted Greedy Algorithm For Sparse Electromagnetic Imaging. (arXiv:1911.06514v1 [eess.SP])

Greedy pursuit algorithms (GPAs), are well appreciated candidates for accurate and efficient reconstruction of sparse signal and image processing applications. Even though many electromagnetic (EM) imaging applications are naturally sparse, GPAs have rarely been explored for this purpose. This is because, for accurate reconstruction, GPAs require (i) the exact number of non-zeros, ‘k’, in the…

### Improving PHY-Security of UAV-Enabled Transmission with Wireless Energy Harvesting: Robust Trajectory Design and Power Allocation. (arXiv:1911.06516v1 [cs.IT])

In this paper, we consider an unmanned aerial vehicle (UAV) assisted communications system, including two cooperative UAVs, a wireless-powered ground destination node leveraging simultaneous wireless information and power transfer (SWIPT) technique, and a terrestrial passive eavesdropper. One UAV delivers confidential information to destination and the other sends jamming signals to against eavesdropping and assist destination…

### On the Frobenius Complexity of Stanley-Reisner Rings. (arXiv:1911.06417v1 [math.AC])

The Frobenius complexity of a local ring $R$ measures asymptotically the abundance of Frobenius operators of order $e$ on the injective hull of the residue field of $R$. It is known that, for Stanley-Reisner rings, the Frobenius complexity is either $-\infty$ or $0$. This invariant is determined by the complexity sequence $\{c_ e\}_e$ of…

### Sharp Riesz-Fej\’er inequality for harmonic Hardy spaces. (arXiv:1911.06429v1 [math.FA])

We prove sharp version of Riesz-Fej\’er inequality for functions in harmonic Hardy space $h^p(\mathbb{D})$ on the unit disk $\mathbb{D}$, for $p>1,$ thus extending the result from \cite{KPK} and resolving the posed conjecture.

### A Novel Content Caching and Delivery Scheme for Millimeter Wave Device-to-Device Communications. (arXiv:1911.06517v1 [eess.SP])

A novel content caching strategy is proposed for a cache enabled device-to-device (D2D) network where the user devices are allowed to communicate using millimeter wave (mmWave) D2D links (> 6 GHz) as well as conventional sub 6 GHz cellular links. The proposed content placement strategy maximizes the successful content delivery probability of a line of…

### Localization for Random Walks in Random Environment in Dimension two and Higher. (arXiv:1911.06430v1 [math.PR])

In this paper, we introduce the notion of \textit{localization at the boundary} for random walks in i.i.d. and uniformly elliptic random environment, in dimensions two and higher. Informally, this means that the walk spends a non-trivial amount of time at some point $x\in \mathbb{Z}^{d}$ with $||x||_{1}=n$ at time $n$, for $n$ large enough. In dimensions…

### Safe Coverage of Compact Domains For Second Order Dynamical Systems. (arXiv:1911.06519v1 [eess.SY])

Autonomous systems operating in close proximity with each other to cover a specified area has many potential applications, but to achieve effective coordination, two key challenges need to be addressed: coordination and safety. For coordination, we propose a locally asymptotically stable distributed coverage controller for compact domains in the plane and homogeneous vehicles modeled with…

### An Energy Efficient D2D Model with Guaranteed Quality of Service for Cloud Radio Access Networks. (arXiv:1911.06528v1 [eess.SP])

This paper proposes a spectrum selection scheme and a transmit power minimization scheme for a device-to-device (D2D) network cross-laid with a cloud radio access network (CRAN). The D2D communications are allowed as an overlay to the CRAN as well as in the unlicensed industrial, scientific and medical radio (ISM) band. A link distance based scheme…

### Singularities of fourfold blowups. (arXiv:1911.06435v1 [math.AG])

We answer a question raised by Birkar, who asked for conditions under which a weighted blow-up of affine 4-space would not have terminal singularities.