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In this era of Gaia and ALMA, dynamical stellar mass measurements provide benchmarks that are independent of observations of stellar characteristics and their uncertainties. These benchmarks can then be used to validate and improve stellar…

This article introduces a framework for measuring the uncertain behaviour of a changing system in terms of the solution of a class of fractional stochastic differential equations (fsDEs). This is accomplished via operational matrices based…

General Mathematics · Mathematics 2025-06-03 O. T. Birgani , J. F. Peters , S. Kouhkani

Among the statistical mechanical frameworks able to describe systems in non-equilibrium steady states such as collisionless plasmas, self-gravitating systems and other complex systems, superstatistics have gained recent attention.…

Statistical Mechanics · Physics 2026-04-21 Sergio Davis

We have observed a large sample of compact planetary nebulae in the near-infrared to determine how the 2^1P-2^1S HeI line at 2.058um varies as a function of stellar effective temperature, Teff. The ratio of this line with HI Br g at 2.166um…

Astrophysics · Physics 2009-10-31 S. L. Lumsden , P. J. Puxley , M. G. Hoare

Binary stars are recognized to be important in driving the dynamical evolution of stellar systems and also in determining some of their observational features. In this study, we explore the role that binary stars have in modulating the…

Astrophysics of Galaxies · Physics 2022-09-20 Camilla Pianta , Roberto Capuzzo-Dolcetta , Giovanni Carraro

Recent numerical simulations of the interstellar medium driven by energy input from supernovae and stellar winds indicate that HI clouds can be formed by compression in shock waves and colliding turbulent streams without any help from…

Astrophysics · Physics 2007-05-23 Anvar Shukurov

The estimation of cosmological parameters from precision observables is an important industry with crucial ramifications for particle physics. This article discusses the statistical methods presently used in cosmological data analysis,…

High Energy Physics - Theory · Physics 2009-12-15 Andrew R Liddle

The field of astronomy is experiencing a data explosion driven by significant advances in observational instrumentation, and classical methods often fall short of addressing the complexity of modern astronomical datasets. Probabilistic…

Instrumentation and Methods for Astrophysics · Physics 2026-01-26 Abigail Sheerin , Giuseppe Vinci

Next-generation planetary tracking methods, such as interplanetary laser ranging (ILR) and same-beam interferometry (SBI) promise an orders-of-magnitude increase in the accuracy of measurements of solar system dynamics. This requires a…

Earth and Planetary Astrophysics · Physics 2019-02-26 Dominic Dirkx , Erwin Mooij , Bart Root

In this paper, we present a deep learning system approach to estimating luminosity, effective temperature, and surface gravity of O-type stars using the optical region of the stellar spectra. In previous work, we compare a set of machine…

Instrumentation and Methods for Astrophysics · Physics 2022-10-31 Miguel Flores R. , Luis J. Corral , Celia R. Fierro-Santillán , Silvana G. Navarro

Two-dimensional models of rapidly rotating stars are already unavoidable for the interpretation of interferometric or asteroseismic data of this kind of stars. When combined with time evolution, they will allow the including of a more…

Solar and Stellar Astrophysics · Physics 2015-06-17 Michel Rieutord , Francisco Espinosa Lara

The models of star formation function and of dissipation of turbulent energy of interstellar medium are proposed. In star formation model the feedback of supernovae is taken into account. It is shown that hierarchical scenario of galaxy…

Astrophysics · Physics 2007-12-10 E. P. Kurbatov

We examine the star formation histories (SFHs) of galaxies in smoothed particle hydrodynamics (SPH) simulations, compare them to parametric models that are commonly used in fitting observed galaxy spectral energy distributions, and examine…

Astrophysics of Galaxies · Physics 2014-04-03 Vimal Simha , David H. Weinberg , Charlie Conroy , Romeel Dave , Mark Fardal , Neal Katz , Benjamin D. Oppenheimer

The Fisher information matrix (FIM) is a foundational concept in statistical signal processing. The FIM depends on the probability distribution, assumed to belong to a smooth parametric family. Traditional approaches to estimating the FIM…

Computation · Statistics 2015-06-22 Visar Berisha , Alfred O. Hero

Stellar models are calculated in the approximation of a uniform density distribution. Variational method was used for determination of the boundary of a stability loss, for stellar masses in the range from 2 up to $10^5$ $M_{\odot}$. The…

High Energy Astrophysical Phenomena · Physics 2025-11-06 G. S. Bisnovatyi-Kogan , E. A. Patraman

In some estimation problems, especially in applications dealing with information theory, signal processing and biology, theory provides us with additional information allowing us to restrict the parameter space to a finite number of points.…

Methodology · Statistics 2012-07-25 Christine Choirat , Raffaello Seri

Recent analyses of low-mass eclipsing binary stars have unveiled a significant disagreement between the observations and the predictions of stellar structure models. Results show that theoretical models underestimate the radii and…

Astrophysics · Physics 2009-11-13 J. C. Morales , I. Ribas , C. Jordi

The spectral energy distribution (SED) of a non-spherical star could differ significantly from the SED of a spherical star with the same average temperature and luminosity. Calculation of the SED of a deformed star is often approximated as…

Astrophysics · Physics 2009-11-11 C. C. Lovekin , R. G. Deupree , C. I. Short

Aims: Stellar activity may complicate the analysis of high-precision radial-velocity spectroscopic data when looking for exoplanets signatures. We aim at quantifying the impact of stellar spots on stars with various spectral types and…

Astrophysics · Physics 2009-11-13 Morgan Desort , Anne-Marie Lagrange , Franck Galland , Stephane Udry , Michel Mayor

From a minimum of total energy of celestial bodies, their basic parameters are obtained. The steady-state values of the mass, radius, and temperature of stars and white dwarfs, as well as masses of pulsars are calculated. The luminosity and…

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