Compact space ≈ Compact space
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Maximum mass, moment of inertia and compactness of relativistic stars Open
A number of recent works have highlighted that it is possible to express the properties of general-relativistic stellar equilibrium configurations in terms of functions that do not depend on the specific equation of state employed to descr…
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Freeform spectrometer enabling increased compactness Open
We present optical designs with freeform optics in the context of hyperspectral imaging. Results show designs that are 5 × more compact in volume than similar designs using conventional spherical or aspherical surfaces. We will show how co…
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Bistable traveling waves for monotone semiflows with applications Open
This paper is devoted to the study of traveling waves for monotone evolution systems of bistable type. In an abstract setting, we establish the existence of traveling waves for discrete and continuous-time monotone semiflows in homogeneous…
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Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations Open
In this paper, we consider the existence and uniqueness of weak solutions for a class of fractional superdiffusion equations with initial-boundary conditions. For a multidimensional fractional drift superdiffusion equation, we just conside…
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Role of pressure anisotropy on relativistic compact stars Open
We investigate a compact spherically symmetric relativistic body with anisotropic particle pressure profiles. The distribution possesses characteristics relevant to modeling compact stars within the framework of general relativity. For thi…
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Spherically symmetric charged compact stars Open
\n In this article we consider the static spherically symmetric metric of embedding class 1. When solving the Einstein–Maxwell field equations we take into account the presence of ordinary baryonic matter together with the electric charge.…
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Controllability for fractional evolution inclusions without compactness Open
In this paper, we study the existence and controllability for fractional evolution inclusions in Banach spaces. We use a new approach to obtain the existence of mild solutions and controllability results, avoiding hypotheses of compactness…
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A new model for spherically symmetric anisotropic compact star Open
\n In this article we obtain a new anisotropic solution for Einstein’s field equations of embedding class one metric. The solution represents realistic objects such as Her X-1 and RXJ 1856-37. We perform a detailed investigation of both ob…
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A new proof of scattering below the ground state for the 3d radial focusing cubic NLS Open
We revisit the scattering result of Holmer and Roudenko (2008) on the radial focusing cubic NLS in three space dimensions. Using the radial Sobolev embedding and a virial/Morawetz estimate, we give a simple proof of scattering below the gr…
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Error-consistent segmented contracted all-electron relativistic basis sets of double- and triple-zeta quality for NMR shielding constants Open
We present property-tailored all-electron relativistic Karlsruhe basis sets for the elements hydrogen to radon.
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Regularized Label Relaxation Linear Regression Open
Linear regression (LR) and some of its variants have been widely used for classification problems. Most of these methods assume that during the learning phase, the training samples can be exactly transformed into a strict binary label matr…
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A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes Open
International audience
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Ground states for fractional magnetic operators Open
We study a class of minimization problems for a nonlocal operator involving an external magnetic potential. The notions are physically justified and consistent with the case of absence of magnetic fields. Existence of solutions is obtained…
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PUSHING CORE-COLLAPSE SUPERNOVAE TO EXPLOSIONS IN SPHERICAL SYMMETRY. I. THE MODEL AND THE CASE OF SN 1987A Open
We report on a method, PUSH, for artificially triggering core-collapse supernova explosions of massive stars in spherical symmetry. We explore basic explosion properties and calibrate PUSH to reproduce SN 1987A observables. Our simulations…
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Binary neutron stars with generic spin, eccentricity, mass ratio, and compactness: Quasi-equilibrium sequences and first evolutions Open
Information about the last stages of a binary neutron star inspiral and the\nfinal merger can be extracted from quasi-equilibrium configurations and\ndynamical evolutions. In this article, we construct quasi-equilibrium\nconfigurations for…
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Structured Transforms for Small-Footprint Deep Learning Open
We consider the task of building compact deep learning pipelines suitable for deployment on storage and power constrained mobile devices. We propose a unified framework to learn a broad family of structured parameter matrices that are char…
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Learning Representation for Clustering Via Prototype Scattering and Positive Sampling Open
Existing deep clustering methods rely on either contrastive or non-contrastive representation learning for downstream clustering task. Contrastive-based methods thanks to negative pairs learn uniform representations for clustering, in whic…
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Random dynamics of fractional nonclassical diffusion equations driven by colored noise Open
The random dynamics in $ H^s(\mathbb{R}^n) $ with $ s\in (0,1) $ is investigated for the fractional nonclassical diffusion equations driven by colored noise. Both existence and uniqueness of pullback random attractors are established for t…
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What do we know about grapevine bunch compactness? A state-of-the-art review Open
Bunch compactness (or density) is a grapevine specific trait that affects the commercial quality and sanitary status of wine and tablegrapes. Compact bunches are more susceptible to diverse pests and diseases such as Botrytis bunch rot and…
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Fidelity vs. simplicity Open
Vector drawing is a popular representation in graphic design because of the precision, compactness and editability offered by parametric curves. However, prior work on line drawing vectorization focused solely on faithfully capturing input…
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Kirchhoff–Hardy Fractional Problems with Lack of Compactness Open
This paper deals with the existence and the asymptotic behavior of nontrivial solutions for some classes of stationary Kirchhoff problems driven by a fractional integro-differential operator and involving a Hardy potential and different cr…
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On the computation of measure-valued solutions Open
A standard paradigm for the existence of solutions in fluid dynamics is based on the construction of sequences of approximate solutions or approximate minimizers. This approach faces serious obstacles, most notably in multi-dimensional pro…
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Measuring and evaluating the compactness of superpixels Open
Superpixel segmentation has become a popular preprocessing step in computer vision with a great variety of existing algorithms. Almost all algorithms claim to compute compact superpixels, but no one showed how to measure compactness and no…
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Relativistic Krori‐Barua Compact Stars in f(R,T)$f(R,T)$ Gravity Open
This work aims to investigate the behaviour of compact stars in the background of theory of gravity. For current work, we consider the Krori‐Barua metric potential i.e., and , where, and C are constants. We use matching conditions of spher…
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The strong convergence theorems for split common fixed point problem ofasymptotically nonexpansive mappings in Hilbert spaces Open
In this paper, an iterative algorithm is introduced to solve the split common fixedpoint problem for asymptotically nonexpansive mappings in Hilbert spaces. Theiterative algorithm presented in this paper is shown to possess strong converge…
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Spectral gaps without the pressure condition Open
For all convex co-compact hyperbolic surfaces, we prove the existence of an\nessential spectral gap, that is a strip beyond the unitarity axis in which the\nSelberg zeta function has only finitely many zeroes. We make no assumption on\nthe…
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Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions Open
In the present paper, we consider the following singularly perturbed problem: $$\begin{array}{} \displaystyle \left\{ \begin{array}{ll} -\varepsilon^2\triangle u+V(x)u=\varepsilon^{-\alpha}(I_{\alpha}*F(u))f(u), & x\in \mathbb{R}^N; \\ u\i…
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Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains Open
This paper is concerned with the asymptotic behaviour of solutions to a class of non-autonomous stochastic nonlinear wave equations with dispersive and viscosity dissipative terms driven by operator-type noise defined on the entire space $…
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Anisotropic neutron stars by gravitational decoupling Open
In this work we obtain an anisotropic neutron star solution by gravitational decoupling starting from a perfect fluid configuration which has been used to model the compact object PSR J0348+0432. Additionally, we consider the same solution…
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Laplacian flow for closed G2 structures: Shi-type estimates, uniqueness and compactness Open
We develop foundational theory for the Laplacian flow for closed G2 structures which will be essential for future study. (1). We prove Shi-type derivative estimates for the Riemann curvature tensor Rm and torsion tensor T along the flow, i…