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Suppose $\kappa$ is a singular strong limit cardinal of countable cofinality and let $\langle \kappa_{n}: n<\omega \rangle$ be an incrasing sequence of regular cardinals cofinal in $\kappa$. We show that if $cf(2^\kappa)= \kappa^+$, then…

Logic · Mathematics 2021-07-12 Mohammad Golshani , Rahman Mohammadpour

Based on works of Saharon Shelah, Jakob Kellner, and Anda T\u{a}nasie for controlling the cardinal characteristics of the continuum in ccc forcing extensions, in the author's master's thesis was introduced a new combinatorial notion: the…

Logic · Mathematics 2024-02-09 Andrés F. Uribe-Zapata

Due to a first order phase transition, a compact star may have a discontinuous distribution of baryon as well as electric charge densities, as e.g. at the surface of a strange quark star. The induced separation of positive and negative…

Solar and Stellar Astrophysics · Physics 2014-11-20 Igor N. Mishustin , Claudio Ebel , Walter Greiner

We demonstrate that the technology of Radin forcing can be used to transfer compactness properties at a weakly inaccessible but not strong limit cardinal to a strongly inaccessible cardinal. As an application, relative to the existence of…

Logic · Mathematics 2024-04-29 Tom Benhamou , Jing Zhang

A detailed Gitman-Lyakhovich-Tyutin analysis for higher-order topologically massive gravity is performed. The full structure of the constraints, the counting of physical degrees of freedom, and the Dirac algebra among the constraints are…

General Relativity and Quantum Cosmology · Physics 2021-08-18 A. Escalante , Jorge Hernández Aguilar

We discuss a discrete analogue of the Dirac-K\"{a}hler equation in which chiral properties of the continual counterpart are captured. We pay special attention to a discrete Hodge star operator. To build one a combinatorial construction of…

Mathematical Physics · Physics 2016-09-16 Volodymyr Sushch

A general precedure is outlined for an algorithmic implementation of the strong coupling expansion of lattice chiral models on arbitrary lattices. A symbolic character expansion in terms of connected values of group integrals on skeleton…

High Energy Physics - Lattice · Physics 2009-10-28 M. Campostrini , P. Rossi , E. Vicari

The lottery preparation, a new general kind of Laver preparation, works uniformly with supercompact cardinals, strongly compact cardinals, strong cardinals, measurable cardinals, or what have you. And like the Laver preparation, the lottery…

Logic · Mathematics 2007-05-23 Joel David Hamkins

A Galilean contraction is a way to construct Galilean conformal algebras from a pair of infinite-dimensional conformal algebras, or equivalently, a method for contracting tensor products of vertex algebras. Here, we present a generalisation…

High Energy Physics - Theory · Physics 2019-07-24 Jorgen Rasmussen , Christopher Raymond

The general procedure of constructing a consistent covariant Dirac-type bracket for models with mixed first and second class constraints is presented. The proposed scheme essentially relies upon explicit separation of the initial…

High Energy Physics - Theory · Physics 2011-07-19 A. A. Deriglazov , A. V. Galajinsky , S. L. Lyakhovich

We deal with (< kappa)-supported iterated forcing notions which are (E_0,E_1)-complete, have in mind problems on Whitehead groups, uniformizations and the general problem. We deal mainly with the successor of a singular case. This continues…

Logic · Mathematics 2016-09-07 Saharon Shelah

We characterize the strong metric dimension of the power graph of a finite group. As applications, we compute the strong metric dimension of the power graph of a cyclic group, an abelian group, a dihedral group or a generalized quaternion…

Combinatorics · Mathematics 2016-10-04 Xuanlong Ma , Min Feng , Kaishun Wang

The concept of spin-directed momentum provides a useful and restrictive framework for describing dynamical mechanisms that can lead to single-spin observables. The value of this framework can be demonstrated by consideration of the…

High Energy Physics - Phenomenology · Physics 2009-11-06 Dennis Sivers

We prove from suitable large cardinal hypotheses that the least weakly compact cardinal can be unfoldable, weakly measurable and even nearly $\theta$-supercompact, for any desired $\theta$. In addition, we prove several global results…

Logic · Mathematics 2013-05-28 Brent Cody , Moti Gitik , Joel David Hamkins , Jason Schanker

In this paper we study strongly indefinite systems involving the fractional Laplacian on bounded domains. We obtain existence and non-existence results, $a priori$ estimates of Gidas-Spruck type, and the symmetric property.

Analysis of PDEs · Mathematics 2014-05-21 Woocheol Choi

We present a method to iterate finitely splitting lim-sup tree forcings along non-wellfounded linear orders. We apply this method to construct a forcing (without using an inaccessible or amalgamation) that makes all definable sets of reals…

Logic · Mathematics 2011-10-18 Jakob Kellner , Saharon Shelah

In this paper, we introduce discrete conics, polygonal analogues of conics. We show that discrete conics satisfy a number of nice properties analogous to those of conics, and arise naturally from several constructions, including the…

Metric Geometry · Mathematics 2012-12-04 Emmanuel Tsukerman

The magnetic polarisabilities of octet baryons are calculated close to the physical quark-mass point using the background field method in lattice QCD. This first calculation draws on the identification and elimination of exceptional…

High Energy Physics - Lattice · Physics 2024-12-13 Thomas Kabelitz , Waseem Kamleh , Derek Leinweber

We introduce the strongly uplifting cardinals, which are equivalently characterized, we prove, as the superstrongly unfoldable cardinals and also as the almost hugely unfoldable cardinals, and we show that their existence is equiconsistent…

Logic · Mathematics 2014-11-03 Joel David Hamkins , Thomas A. Johnstone

We define strongly Gauduchon spaces and the class SG which are generalization of strongly Gauduchon manifolds in complex spaces. Comparing with the case of Kahlerian, the strongly Gauduchon space and the class SG are similar to the Kahler…

Complex Variables · Mathematics 2021-01-07 Lingxu Meng , Wei Xia
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