Quantizing gravity in the full (3+1)−dimensional theory has been a daunting task for several years. This leads us to look towards symmetry-reduced toy models like spherically symmetric gravity to apply the general tools of canonical quantum gravity.…

Canonical quantization of spherically symmetric space-times is carried out, using real-valued densitized triads and extrinsic curvature components, w…

We conclude by discussing examples of CVIs through two families. First, in Subsection 8.1 we describe Branson’s Q-curvatures [5, 26] and the renormalized volume coefficients [36] from the point of view of CVIs, noting in particular that they provide…

Conformally variational Riemannian invariants (CVIs), such as the scalar curvature, are homogeneous scalar invariants which arise as the gradient of …

We prove Theorem A in the case n=4; proofs of the other cases follow analogously. Let M=R×C4 and set

We construct examples of nondegenerate CR manifolds with Levi form of signature $(p,q)$, $2\leq p\leq q$, which are compact, not locally CR flat, and…

The scheme suggested in this paper is quite flexible and can be applied to get similar results about the Hausdorff dimension in various settings. For example, using our approach for the proof of Theorem 1.1, one should be able to answer the followin…

We prove that for every flat surface $\omega$, the Hausdorff dimension of the set of directions in which Teichm\"{u}ller geodesics starting from $\om…

By a Lie pair (L,A), we mean an ordinary (non-graded) Lie algebroid (L,[⋅,⋅]L,ρL) over an ordinary (non-graded) smooth manifold M, together with a Lie subalgebroid (A,[⋅,⋅]A,ρA) of L over the same base M.

We study the shifted analogue of the "Lie Poisson" construction for $L_\infty$-algebroids and we prove that any $L_\infty$-algebroid naturally gives …

In this section we construct a diffeomorphism that is an element of the connected component of the identity in the group of diffeomorphisms of M, but on the other hand is not contained in the C0-closure of the group of contact diffeomorphisms. Toget…

We prove that the group of contact diffeomorphisms is closed in the group of all diffeomorphisms in the C^0-topology. By Gromov's alternative, it suf…

We have proposed an algorithm for detecting atypical topics exhibited by clusters of anomalous text documents. Unlike individual-based AD techniques, our method detects clusters of anomalous documents which jointly manifest atypical topics on a smal…

We propose an algorithm for detecting patterns exhibited by anomalous clusters in high dimensional discrete data. Unlike most anomaly detection (AD) …

In this paper, we studied PoR systems when multiple provers are involved (MPoR). We motivated and defined the security of MPoR in the worst-case (Definition 1) and the average-case (Definition 2) settings, and extended the hypothesis testing techniq…

There has been considerable recent interest in "cloud storage" wherein a user asks a server to store a large file. One issue is whether the user can …

Recent cosmic microwave background (CMB) observations put strong constraints on the spatial curvature via estimation of the parameter $\Omega_k$ assu…

Internet of Things (IoT) and robotics cannot be considered two separate domains these days. Internet of Robotics Things (IoRT) is a concept that has …

In this paper, we introduce an algebraic method to construct stable and consistent univariate autoregressive (AR) models of low order for filtering a…

The ground-breaking detections of gravitational waves from black hole mergers by LIGO have rekindled interest in primordial black holes (PBHs) and th…

Visible Light Communication (VLC) technology using light emitting diodes (LEDs) has been gaining increasing attention in recent years as it is appeal…

In an earlier work [S. Kastha et al., PRD {\bf 98}, 124033 (2018)], we developed the {\it parametrized multipolar gravitational wave phasing formula}…

We present an end-to-end, multimodal, fully convolutional network for extracting semantic structures from document images. We consider document seman…

We study a Follow-the-Leader (FtL) ODE model for traffic flow with rough road condition, and analyze stationary traveling wave profiles where the sol…

Biomimetic nanoengineered metamaterials called chiral sculptured thin films (CSTFs) are attractive platforms for optical sensing because their porosi…

Via exploitation of surface plasmon polaritons (SPPs), columnar thin films (CTFs) are attractive potential platforms for optical sensing as their rel…

We investigate the consequences of the hybrid quantization approach for primordial perturbations in loop quantum cosmology, obtaining predictions for…

Users of cloud computing platforms pose different types of demands for multiple resources on servers (physical or virtual machines). Besides differen…

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