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The $L_{\infty}$ star discrepancy is a very well-studied measure used to quantify the uniformity of a point set distribution. Constructing optimal point sets for this measure is seen as a very hard problem in the discrepancy community.…

Computational Geometry · Computer Science 2024-02-28 François Clément , Carola Doerr , Kathrin Klamroth , Luís Paquete

Visual photometry, the estimation of stellar brightness by eye, continues to provide valuable data even in this highly-instrumented era. However, the eye-brain system functions differently from electronic sensors and its products can be…

Instrumentation and Methods for Astrophysics · Physics 2024-01-02 Alan B. Whiting

We compare the hot star wind models calculated assuming older solar abundance determination with models calculated using the recently published values derived from 3D hydrodynamical model atmospheres. We show that the use of new abundances…

Astrophysics · Physics 2009-11-13 Jiri Krticka , Jiri Kubat

We present a new technique for detecting scattered starlight from transiting, close-orbiting extrasolar giant planets (CEGPs) that has the virtues of simplicity, robustness, linearity, and model-independence. Given a series of stellar…

Context. The "mass discrepancy" in massive O stars represents a long-standing problem in stellar astrophysics with far-reaching implications for the chemical and dynamical feedback in galaxies. Aims. Our goal is to investigate this mass…

Solar and Stellar Astrophysics · Physics 2015-05-20 Carsten Weidner , Jorick Vink

All fundamental physical principles are confirmed by numerous experiments and practical certainty and have unambiguous interpretation. But physics of stars is based on few measured effects only. It gives some freedom for figments of the…

Astrophysics · Physics 2007-05-23 B. V. Vasiliev

In the convective envelopes of relatively cool stars, oscillations are excited by turbulent convection. In these so-called solar-like oscillators, radial oscillation modes appear at nearly equally spaced frequencies. This spacing is…

Solar and Stellar Astrophysics · Physics 2026-05-06 S. Hekker , Y. Elsworth , S. Basu , F. Ahlborn , W. H. Ball , E. P. Bellinger , L. Buchele , F. Espinoza-Rojas

Integrated spectrophotometric properties of stellar systems are intrinsically dispersed due to the stochastic nature of the small numbers of bright stars they contain. Among clusters, only the most massive ones can be used individually for…

Astrophysics · Physics 2007-05-23 Ariane Lançon , Mustapha Mouhcine

Young galaxies are clumpy, gas-rich, and highly turbulent. Star formation appears to occur by gravitational instabilities in galactic disks. The high dispersion makes the clumps massive and the disks thick. The star formation rate should be…

Astrophysics of Galaxies · Physics 2015-05-27 Bruce G. Elmegreen

This paper studies the expected $L_p$-discrepancy ($2 \leq p < \infty$) for stratified sampling schemes under importance sampling. We introduce a parametric family of equivolume partitions $\Omega_{\theta,\sim}$ and leverage recent exact…

Numerical Analysis · Mathematics 2026-01-09 Xiaoda Xu

Numerous investigations on the fundamental properties of low-mass stars using eclipsing binaries indicate a strong discrepancy between theory and observations that is still awaiting explanation. Current models seem to predict radii for…

Astrophysics · Physics 2010-04-29 I. Ribas , J. Morales , C. Jordi , I. Baraffe , G. Chabrier , J. Gallardo

Mass segregation, a tendency of more massive galaxies being distributed closer to the cluster center, is naturally expected from dynamical friction, but its presence is still controversial. Using deep optical observations of 14 Abell…

Astrophysics of Galaxies · Physics 2020-12-16 Seonwoo Kim , Emanuele Contini , Hoseung Choi , San Han , Jaehyun Lee , Sree Oh , Xi Kang , Sukyoung K. Yi

We prove a large deviations principle for the empirical law of the block sizes of a uniformly distributed non-crossing partition. As an application we obtain a variational formula for the maximum of the support of a compactly supported…

Probability · Mathematics 2011-07-04 Janosch Ortmann

In this note, we slightly improve the guarantees obtained by Guo and Jerrum for sampling from the hard disks model in the plane via partial rejection sampling. Our proof makes use of the fact that if one spreads apart a collection of disks…

Probability · Mathematics 2018-08-13 Jake Wellens

We present a detailed study of the small frequency separations as diagnostics of the mass of the convective core and evolutionary stage of solar-type stars. We demonstrate how the small separations can be combined to provide sensitive tests…

Astrophysics · Physics 2009-11-11 Anwesh Mazumdar , Sarbani Basu , Braxton L. Collier , Pierre Demarque

Numerous stars exhibit surprisingly large variations in their refractory element abundances, often interpreted as signatures of planetary ingestion events. In this study, we propose that differences in the dust-to-gas ratio near stars…

Astrophysics of Galaxies · Physics 2024-08-29 Nadine H. Soliman , Philip F. Hopkins

The known extrasolar multiple-planet systems share a surprising dynamical attribute: they cluster just beyond the Hill stability boundary. Here we show that the planet-planet scattering model, which naturally explains the observed exoplanet…

Earth and Planetary Astrophysics · Physics 2011-02-11 Sean N. Raymond , Rory Barnes , Dimitri Veras , Philip J. Armitage , Noel Gorelick , Richard Greenberg

The mass distributions of dense cores in star-forming regions are measured to have a shape similar to the initial mass function of stars. This has been generally interpreted to mean that the constituent cores will form individual stars or…

Astrophysics · Physics 2009-11-13 Jonathan J. Swift , Jonathan P. Williams

In this paper, we test the discrepancy between the stellar mass density and instantaneous star formation rate in redshift range $0<z<8$ using a large observational data sample. We first compile the measurements of the stellar mass densities…

Astrophysics of Galaxies · Physics 2016-04-13 H. Yu , F. Y. Wang

I review theoretical models of star formation and how they apply across the stellar mass spectrum. Several distinct theories are under active study for massive star formation, especially Turbulent Core Accretion, Competitive Accretion and…

Solar and Stellar Astrophysics · Physics 2017-01-11 Jonathan C. Tan