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The star-triangle transformation is used to obtain an equivalence extending over the set of all (in)homogeneous bond percolation models on the square, triangular and hexagonal lattices. Among the consequences are box-crossing (RSW)…

概率论 · 数学 2021-12-21 Geoffrey R. Grimmett , Ioan Manolescu

We review a series of recent results on global dynamic properties of radially symmetric self-gravitating compressible Euler flows, which naturally arise in the mathematical description of stars. We focus on the role of scaling invariances…

偏微分方程分析 · 数学 2023-06-06 Mahir Hadzic

We compare theoretically the tripartite entanglement available from the use of three concurrent $\chi^{(2)}$ nonlinearities and three independent squeezed states mixed on beamsplitters, using the van Loock-Furusawa inequalities. We also…

量子物理 · 物理学 2009-11-13 M. K. Olsen , A. S. Bradley , M. D. Reid

We show how $Z$-invariance in the chiral Potts model provides a strategy to calculate the pair correlation in the general integrable chiral Potts model using only the superintegrable eigenvectors. When the distance between the two spins in…

数学物理 · 物理学 2013-08-12 Helen Au-Yang , Jacques H. H. Perk

In this paper we classify the free boundary associated to equilibrium configurations of compressible, self-gravitating fluid masses, rotating with constant angular velocity. The equilibrium configurations are all critical points of an…

偏微分方程分析 · 数学 2012-10-16 Sagun Chanillo , Georg S. Weiss

In a series of articles we describe a novel class of geometrical models of relativistic stars. Our approach to the static spherically symmetric solutions of Einstein equations is based on a careful physical analysis of radial gauge…

天体物理学 · 物理学 2007-05-23 P. P. Fiziev

The topological analysis from Bjorkman (1995) for the standard model that describes the winds from hot stars by Castor, Abbott & Klein (1975) has been extended to include the effect of stellar rotation and changes in the ionization of the…

天体物理学 · 物理学 2009-11-10 Michel Cure , Diego Rial

An invariant of a model of genus one curve is a polynomial in the coefficients of the model that is stable under certain linear transformations. The classical example of an invariant is the discriminant, which characterizes the singularity…

数论 · 数学 2020-09-14 Manh Hung Tran

The Jackiw-Rajaraman version of the chiral Schwinger model is studied as a function of the renormalization parameter. The constraints are obtained and they are used to carry out canonical quantization of the model by means of Dirac…

数学物理 · 物理学 2008-11-26 Paul Bracken

Each time diffusion of elements is invoked in explaining abundance anomalies in a star, this supposes implicitly that a stratification process is in progress somewhere in that star. This means also, that the element abundances can still be…

天体物理学 · 物理学 2007-05-23 Georges Alecian

We introduce a two-parameter modification of the cofinality invariant of ideals. This allows us to include the interaction of a pair of ideals in the study of base-like structures. We find the values (cardinal numbers or well-known cardinal…

一般拓扑 · 数学 2025-02-13 Adam Marton , Miroslav Repický

We broaden the investigation of the dynamical properties of tidally perturbed, rotating star clusters by relaxing the traditional assumptions of coplanarity, alignment, and synchronicity between the internal and orbital angular velocity…

星系天体物理 · 物理学 2018-01-31 Maria Tiongco , Enrico Vesperini , Anna Lisa Varri

We define triangulated factorization systems on triangulated categories, and prove that a suitable subclass thereof (the normal triangulated torsion theories) corresponds bijectively to $t$-structures on the same category. This result is…

范畴论 · 数学 2018-02-13 Fosco Loregian , Simone Virili

The velocity of light is invariant under transformations that alter space-time metrics, while leaving Maxwell's equations invariant. A one-parameter special conformal invariance group of the equations exposes an ambiguity in current…

数学物理 · 物理学 2013-03-14 Carl E. Wulfman

Model-independent identities and inequalities relating the various spin observables of a reaction are reviewed in a unified formalism, together with their implications for dynamical models, their physical interpretation, and the quantum…

高能物理 - 唯象学 · 物理学 2009-01-14 Xavier Artru , Mokhtar Elchikh , Jean-Marc Richard , Jacques Soffer , Oleg V. Teryaev

Exact models of uniformly rotating strange stars, built of self bound quark matter, are calculated within the framework of general relativity. This is made possible thanks to a new numerical technique capable to handle the strong density…

天体物理学 · 物理学 2010-11-19 E. Gourgoulhon , P. Haensel , R. Livine , E. Paluch , S. Bonazzola , J. A. Marck

A lot of evidence has recently accumulated that physical characteristics of CP stars (delta m_1, Ca/Fe ratio, Li abundance, distribution of orbital periods, vsini, Delta (V1-G), magnetic field) depend on orbital period or eccentricity.…

天体物理学 · 物理学 2007-05-23 J. Budaj

An underlying fundamental assumption in relativistic perturbation theory is the existence of a parametric family of spacetimes that can be Taylor expanded around a background. Since the choice of the latter is crucial, sometimes it is…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Carlos F. Sopuerta , Marco Bruni , Leonardo Gualtieri

In this paper our aim is to determine the radii of univalence, starlikeness and convexity of the normalized regular Coulomb wave functions for two different kinds of normalization. The key tools in the proof of our main results are the…

复变函数 · 数学 2016-05-24 Árpád Baricz , Murat Çağlar , Erhan Deniz , Evrim Toklu

We study compact stars with hybrid equations of state consisting of a nuclear outer region and two nested quark phases, each separated from the lower density phase by a strong first-order phase transition. The stability of these models is…

高能天体物理现象 · 物理学 2023-05-26 Peter B. Rau , Armen Sedrakian