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In this article, for an advection-diffusion equation we study an inverse problem for restoration of source temperature from the information of final temperature profile. The uniqueness of this inverse problem is established by taking an…

Analysis of PDEs · Mathematics 2018-06-15 Zhiyuan Li , Gongsheng Li , Xianzheng Jia

Principal component analysis (PCA) aims at estimating the direction of maximal variability of a high-dimensional dataset. A natural question is: does this task become easier, and estimation more accurate, when we exploit additional…

Information Theory · Computer Science 2014-06-19 Andrea Montanari , Emile Richard

We show how previous works (Fuhrmann et al., van 't Veer-Menneret & Megessier) demonstrate the efficiency of the use of Balmer line profiles for effective temperature determination. In agreement with them, we insist on the physical interest…

Astrophysics · Physics 2007-05-23 C. van 't Veer-Menneret , C. Bentolila , D. Katz

Based on the maximum entropy production principle, a relation between luminosity and effective temperature for main-sequence stars is obtained. Simplicity of the derivation and absence of any empirical parameters in the result is a…

Solar and Stellar Astrophysics · Physics 2019-06-26 Leonid M. Martyushev , Sergey N. Zubarev

We demonstrate the applicability of the $\epsilon$-convergence algorithm in extracting the critical temperatures and critical exponents of three-dimensional Ising models. We analyze the low temperature magnetization as well as high…

Statistical Mechanics · Physics 2024-10-22 M V Vismaya , M V Sangaranarayanan

The temperature dependence of the diffuse scattering fine structure from disordered equiatomic CuAu was studied using {\it in situ} x-ray scattering. In contrast to Cu$_3$Au the diffuse peak splitting in CuAu was found to be relatively…

Condensed Matter · Physics 2012-08-27 O. Malis , K. F. Ludwig, , W. Schweika , G. E. Ice , C. J. Sparks

High-resolution observations by visible and near-infrared interferometers of both single stars and binaries have made significant contributions to the foundations that underpin many aspects of our knowledge of stellar structure and…

We establish an empirical effective temperature calibration of main sequence, luminosity class V to III B-type stars for the Delta a photometric system which was originally developed to detect magnetic chemically peculiar objects of the…

Astrophysics · Physics 2009-11-11 E. Paunzen , A. Schnell , H. M. Maitzen

We present a method for a non-linear asteroseismic inversion suitable for gravity-mode pulsators and apply it to slowly pulsating B-type (SPB) stars. Our inversion method is based on the iterative improvement of a parameterised static…

Solar and Stellar Astrophysics · Physics 2024-04-19 Eoin Farrell , Gaël Buldgen , Georges Meynet , Patrick Eggenberger , Marc-Antoine Dupret , Dominic M. Bowman

We consider the sparse principal component analysis for high-dimensional stationary processes. The standard principal component analysis performs poorly when the dimension of the process is large. We establish the oracle inequalities for…

Statistics Theory · Mathematics 2021-09-17 Kou Fujimori , Yuichi Goto , Yan Liu , Masanobu Taniguchi

Interferometric observations of stars in late stages of stellar evolution and the impact of VLTI observations are discussed. Special attention is paid to the spectral information that can be derived from these observations and on the…

Astrophysics · Physics 2015-06-24 T. Bloecker , K. -H. Hofmann , G. Weigelt

We investigate the applicability of finite temperature random phase approximation (RPA) using a solvable Lipkin model. We show that the finite temperature RPA reproduces reasonably well the temperature dependence of total strength, both for…

Nuclear Theory · Physics 2009-11-06 K. Hagino , F. Minato

Starspots are ubiquitous in young, low-mass stars, yet their impact on the spectral classification and fundamental parameter inference of pre-main sequence stars (PMS) has been largely overlooked. In this study, we demonstrate that cool…

Solar and Stellar Astrophysics · Physics 2025-07-30 Facundo Pérez Paolino , Jeff Bary , Benjamin Horner , Lynne A. Hillenbrand , Adolfo Carvalho

In this paper we present and analyse determinations of effective temperatures of planet-hosting stars using infrared (IR) photometry. One of our goals is the comparison with spectroscopic temperatures to evaluate the presence of systematic…

Astrophysics · Physics 2009-11-10 I. Ribas , E. Solano , E. Masana , A. Gimenez

We aim to test the power of theoretical calibrations based on a new generation of MARCS models by comparisons with observational photomteric data. We calculate synthetic uvby-Hbeta colour indices from synthetic spectra. A sample of 388…

Astrophysics · Physics 2009-11-13 A. Önehag , B. Gustafsson , K. Eriksson , B. Edvardsson

Line depth ratios measured on high resolution (R=42000), high S/N echelle spectra are used for the determination of precise effective temperatures of 181 F,G,K Main Sequence stars with about solar metallicity (-0.5 < [Fe/H] < +0.5). A set…

Astrophysics · Physics 2009-11-10 V. V. Kovtyukh , C. Soubiran , S. I. Belik , N. I. Gorlova

We present an analysis of high resolution spectra in the far-UV -- UV range (~905-2000\AA) with non-LTE, spherical, hydrodynamical, line-blanketed models, of three O-type Galactic stars, and derive their photospheric and wind parameters.…

Solar and Stellar Astrophysics · Physics 2013-08-15 Luciana Bianchi , Miriam Garcia

For many decades the determination of accurate fundamental parameters for stars (masses, radii, temperatures, luminosities, etc.) has mostly been the domain of eclipsing binary systems. That has begun to change as long-baseline…

Solar and Stellar Astrophysics · Physics 2011-07-18 Guillermo Torres

Aims: The precise determination of the stellar effective temperature of solar type stars is of extreme importance for Astrophysics. We present an effective temperature calibration for FGK dwarf stars using line equivalent width ratios of…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 S. G. Sousa , A. Alapini , G. Israelian , N. C. Santos

We test our capability of deriving stellar physical parameters of giant stars by analysing a sample of field stars and the well studied open cluster IC 4651 with different spectroscopic methods. The use of a technique based on line-depth…

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