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This work aims to bridge the gap between pure and applied research on scalar, linear Volterra equations by examining five major classes: integral and integro-differential equations with completely monotone kernels, such as linear…

Classical Analysis and ODEs · Mathematics 2026-01-09 David Darrow , George Stepaniants

This document describes the current understanding of the IVOA controlled vocabulary for describing astronomical data quantities, called Unified Content Descriptors (UCDs). The present document defines a new standard (named UCD1+) improving…

The vast majority of star-forming galaxies are surrounded by large reservoirs of gas ejected from the interstellar medium. Ultraviolet absorption and emission lines represent powerful diagnostics to constrain the cool phase of these…

A spherical model of skeleton with junctions is investigated by Monte Carlo simulations. The model is governed by one-dimensional bending energy. The results indicate that the model undergoes a first-order transition separating the smooth…

Statistical Mechanics · Physics 2007-05-23 H. Koibuchi

This is a support document which describes the properties of the cable and parameters of the formulas for the statistical powerline channel modeling. The cable parameters help the reader build powerline channel according to the transmission…

Information Theory · Computer Science 2012-03-16 Bo Tan , John Thompson

Robust stereo visual-inertial odometry (VIO) remains challenging in low-texture scenes and under abrupt illumination changes, where point features become sparse and unstable, leading to ambiguous association and under-constrained…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Zikun Chen , Wentao Zhao , Yihe Niu , Tianchen Deng , Jingchuan Wang

We present long range statistical properties of a recently introduced unitary random matrix ensemble, whose short range correlations were found to describe a transition from Wigner to Poisson type as a function of a single parameter.

Condensed Matter · Physics 2019-08-17 C. Blecken , Y. Chen , K. A. Muttalib

Various spectral notions have been employed to grasp the structure of point sets, in particular non-periodic ones. In this article, we present them in a unified setting and explain the relations between them. For the sake of readability, we…

Dynamical Systems · Mathematics 2017-02-21 Michael Baake , Daniel Lenz

With its third data release, European Space Agency's Gaia mission publishes for the first time low resolution spectra for a large number of celestial objects. These spectra however differ in their nature from typical spectroscopic data.…

Instrumentation and Methods for Astrophysics · Physics 2023-03-08 Michael Weiler , Josep Manel Carrasco , Claus Fabricius , Carme Jordi

In this paper, we study compact linear relations and establish that the spectrum of compact linear relations consists of only the point spectrum and the zero set under suitable conditions.

Functional Analysis · Mathematics 2022-01-12 Keshav Raj Acharya , Matt McBride

The handling of units in an automated way by software systems can be a cumbersome procedure when the units are parsed as strings. Software systems parsing units have to take into account extensive tables of unit names, not always identical…

Astrophysics · Physics 2007-05-23 Pedro Osuna , Jesus Salgado

In this article, we first provide a taxonomy of dynamic spectrum access. We then focus on opportunistic spectrum access, the overlay approach under the hierarchical access model of dynamic spectrum access. we aim to provide an overview of…

Networking and Internet Architecture · Computer Science 2007-05-23 Qing Zhao , Brian M. Sadler

Synthetic stellar spectra are extensively used for many different applications in astronomy, from stellar studies (such as in the determination of atmospheric parameters of observed stellar spectra), to extragalactic studies (e.g. as one of…

Solar and Stellar Astrophysics · Physics 2017-04-05 Jessica R. Kitamura , Lucimara P. Martins , Paula Coelho

Motivated by recent findings, we discuss the existence of a direct and robust mechanism providing discontinuous absorbing transitions in short range systems with single species, with no extra symmetries or conservation laws. We consider…

Statistical Mechanics · Physics 2014-02-10 Carlos E. Fiore

It is shown that the two-part Minimum Description Length Principle can be used to discriminate among different models that can explain a given observed dataset. The description length is chosen to be the sum of the lengths of the message…

Astrophysics · Physics 2008-11-26 A. Asensio Ramos

In this first paper, we demonstrate a theorem that establishes a first step toward proving a necessary topological condition for the occurrence of first or second order phase transitions: we prove that the topology of certain submanifolds…

Mathematical Physics · Physics 2008-11-26 Roberto Franzosi , Marco Pettini , Lionel Spinelli

Higher-order networks are widely used to describe complex systems in which interactions can involve more than two entities at once. In this paper, we focus on inclusion within higher-order networks, referring to situations where specific…

Physics and Society · Physics 2025-07-22 Nicholas W. Landry , Jean-Gabriel Young , Nicole Eikmeier

Studies of kinematics and geometry of outflowing gas rely on modeling features in integrated spectra using empirical quantiles or fitting multiple Gaussian or Voigt profiles. Such methods can miss key underlying physics and even lead to…

Astrophysics of Galaxies · Physics 2026-03-23 Sophia R. Flury

Analysis of high-resolution stellar spectra relies heavily upon atomic data. These include energy levels, wavelengths, cross-sections for various types of interactions between particles and photons, such as photoionization and collision…

Solar and Stellar Astrophysics · Physics 2011-04-12 Maria Bergemann

Mathematical and computational models can assist in gaining an understanding of cell behavior at many levels of organization. Here, we review models in the literature that focus on eukaryotic cell motility at 3 size scales: intracellular…

Cell Behavior · Quantitative Biology 2021-01-27 Andreas Buttenschön , Leah Edelstein-Keshet
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