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We derive simplified formulas for analyzing the stability of stochastic parametrically forced linear systems. This extends the results in [T. Blass and L.A. Romero, SIAM J. Control Optim. 51(2):1099--1127, 2013] where, assuming the…

Dynamical Systems · Mathematics 2014-02-05 Timothy Blass , L. A. Romero , J. R. Torczynski

The metallurgy and materials communities have long known and exploited fundamental links between chemical and structural ordering in metallic solids and their mechanical properties. The highest reported strength achievable through the…

We provide a simultaneous derivation of the Dirac bracket and of the equations of motion for second-class constrained systems when the constraints are time-dependent. The necessity of time-dependent gauge-fixing conditions is shown in the…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Nuno Barros e Sá

We characterize the model spaces $K_\Theta$ in which functions with smooth boundary extensions are dense. It is shown that such approximations are possible if and only if the singular measure associated to the singular inner factor of…

Functional Analysis · Mathematics 2021-06-18 Adem Limani , Bartosz Malman

We investigated the magnetic behavior of metal hydrides FeH$_{x}$, CoH$_{x}$ and NiH$_{x}$ for several concentrations of hydrogen ($x$) by using Density Functional Theory calculations. Several structural phases of the metallic host: bcc…

Materials Science · Physics 2017-09-12 Andrea León , E. A. Velásquez , J. Mejía-López , P. Vargas

Preserving stability is a central problem in data-driven model order reduction of dynamical systems. For linear systems whose dynamics depend on geometric or physical parameters, multivariate rational approximation algorithms such as the…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Antonio Carlucci

It was shown by Visser that Peano Arithmetic has the property that any two bi-interpretable extensions of it (in the same language) are equivalent. Enayat proposed to refer to this property of a theory as tightness and to carry out a more…

Logic · Mathematics 2025-12-11 Piotr Gruza , Leszek Aleksander Kołodziejczyk , Mateusz Łełyk

We study variants of classical Laver forcing defined from co-ideals and analyze their combinatorial properties in terms of the Kat\v{e}tov order. In particular, we give a Kat\v{e}tov-theoretic characterization of when Laver forcing…

In a previous article (Beanland & Sjokvist, 2024), we derived Boolean conditions for the appearance of superstructure reflexions in diffraction patterns from perovskites with tilted oxygen octahedra, using the structure factor equation.…

Materials Science · Physics 2025-01-28 Richard Beanland , Robin Sjokvist

Under some cardinal arithmetic assumptions, we prove that every stationary subset of lambda of a right cofinality has the weak diamond. This is a strong negation of uniformization. We then deal with a weaker version of the weak diamond-…

Logic · Mathematics 2007-05-23 Saharon Shelah

Spherical confinement can act either stabilizing or destabilizing on the collapsed state of a semi-flexible polymer. General free-energy arguments suggest that the order of the unconstrained collapse transition is the distinguishing factor:…

Soft Condensed Matter · Physics 2018-11-14 Martin Marenz , Johannes Zierenberg , Wolfhard Janke

We show that if $cf(2^{\aleph_0})=\aleph_1,$ then any non-trivial $\aleph_1$-closed forcing notion of size $\leq 2^{\aleph_0}$ is forcing equivalent to $Add(\aleph_1, 1),$ the Cohen forcing for adding a new Cohen subset of $\omega_1.$ We…

Logic · Mathematics 2020-03-11 Mohammad Golshani , Saharon Shelah

In \cite{PSMA}, Pal et al. introduced some weighted means and gave some related inequalities by using an approach for operator monotone functions. This paper discusses the construction of these weighted means in a simple and nice setting…

Functional Analysis · Mathematics 2020-05-26 Mustapha Raïssouli , Shigeru Furuichi

This paper explores in some detail a recent proposal (the Rieffel induction/refined algebraic quantization scheme) for the quantization of constrained gauge systems. Below, the focus is on systems with a single constraint and, in this…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Donald Marolf

We study a collection of stability conditions (in the sense of Schmitt) for complexes of sheaves over a smooth complex projective variety indexed by a positive rational parameter. We show that the Harder-Narasimhan filtration of a complex…

Algebraic Geometry · Mathematics 2012-02-17 Victoria Hoskins

The low-energy effective theories describing string compactifications in the presence of fluxes are so-called gauged supergravities: deformations of the standard abelian supergravity theories. The deformation parameters can be identified…

High Energy Physics - Theory · Physics 2008-11-26 Henning Samtleben

Based on the work of Shelah, Kellner, and T\u{a}nasie (Fund. Math., 166(1-2):109-136, 2000 and Comment. Math. Univ. Carolin., 60(1):61-95, 2019), and the recent developments in the third author's master's thesis, we develop a general theory…

Logic · Mathematics 2024-10-24 Miguel A. Cardona , Diego A. Mejía , Andrés F. Uribe-Zapata

It has been proposed that the mass-metallicity relation of galaxies exhibits a secondary dependence on star formation rate (SFR), and that the resulting M-Z-SFR relation may be redshift-invariant, i.e., "fundamental." However, conflicting…

Astrophysics of Galaxies · Physics 2014-12-23 Samir Salim , Janice C. Lee , Chun Ly , Jarle Brinchmann , Romeel Davé , Mark Dickinson , John J. Salzer , Stéphane Charlot

In this paper we consider the Foreman's maximality principle, which says that any non-trivial forcing notion either adds a new real or collapses some cardinals. We prove the consistency of some of its consequences. We prove that it is…

Logic · Mathematics 2016-04-05 Mohammad Golshani , Yair Hayut

Various experiments and observations have led researchers to suggest different bounds on fundamental constants like the fine-structure constant and the proton-to-electron mass ratio. These bounds differ mostly due to the energy scale of the…

General Relativity and Quantum Cosmology · Physics 2023-06-05 Surajit Kalita , Akhil Uniyal
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