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We suggest that the commonly-accepted core structure of the 90-degree partial dislocation in Si may not be correct, and propose instead a period-doubled structure. We present LDA, tight-binding, and classical Keating-model calculations, all…

Materials Science · Physics 2009-10-30 J. Bennetto , R. W. Nunes , David Vanderbilt

We study consequences of stationary and semi-stationary set reflection. We show that the semi stationary reflection principle implies the Singular Cardinal Hypothesis, the failure of weak square principle, etc. We also consider two cardinal…

Logic · Mathematics 2014-10-29 Hiroshi Sakai , Boban Velickovic

The three-dimensional non-compact QED is known to exhibit weak confinement when fermions acquire a finite mass via the mechanism of dynamical chiral symmetry breaking. In this paper, we study the effect of fermion damping caused by elastic…

High Energy Physics - Theory · Physics 2015-11-23 Jing Wang , Jing-Rong Wang , Wei Li , Guo-Zhu Liu

We report surface hardening or crust formation, unlike caking, during drying when a confined porous medium was heated from above using IR radiation. These crusts have higher strength than their closest counterparts such as sandcastles and…

Soft Condensed Matter · Physics 2020-09-04 Navneet Kumar , Jaywant H Arakeri , M S Bobji

In this paper, we show that the failure of the unique branch hypothesis (UBH) for tame trees (see \rdef{tame iteration tree}) implies that in some homogenous generic extension of $V$ there is a transitive model $M$ containing $Ord \cup…

Logic · Mathematics 2019-08-15 Grigor Sargsyan , Nam TRang

The most recent data about the weak gravitational shielding produced recently through a levitating and rotating HTC superconducting disk show a very weak dependence of the shielding value ($\sim 1 \%$) on the height above the disk. We show…

supr-con · Physics 2008-02-03 G. Modanese

This paper investigates the inelastic response of a yielding structure coupled with a rocking wall which can be vertically restrained. The paper first derives the nonlinear equations of motion of a yielding oscillator coupled with a…

Applied Physics · Physics 2019-07-09 Mehrdad Aghagholizadeh , Nicos Makris

In this work, we extend the celebrated result of Avila--Forni~\cite{avila2007weak} on the weak mixing property of interval exchange transformations to the setting of linear involutions, which naturally arise from the study of vertical…

Dynamical Systems · Mathematics 2026-01-30 Erick Gordillo Herrerías

We introduce the class of weakly log canonical singularities, a natural generalization of semi-log canonical singularities. Toric varieties (associated to toric face rings, possibly non-normal or reducible) which have weakly (semi-) log…

Algebraic Geometry · Mathematics 2017-11-02 Florin Ambro

We study the weak solutions to the electron-MHD system and obtain a conditional uniqueness result. In addition, we prove conservation of helicity for weak solutions to the electron-MHD system under a geometric condition.

Analysis of PDEs · Mathematics 2019-11-20 Mimi Dai , Jacob Krol , Han Liu

This paper deals with the notion of weak Lawvere-Tierney topology on a topos. Our motivation to study such a notion is based on the observation that the composition of two Lawvere-Tierney topologies is no longer idempotent, when seen as a…

Category Theory · Mathematics 2020-03-16 Zeinab Khanjanzadeh , Ali Madanshekaf

Piecewise Euclidean structures (identified solid Euclidean polyhedra) on topological 3-dimensional manifolds and pseudo-manifolds are constructed so that they admit pseudo-foliations, a generalized type of foliation. The construction of…

Differential Geometry · Mathematics 2007-05-23 Simon P Morgan

Pure lattice gauge theories in three dimensions are widely expected to confine. A rigorous proof of confinement for three-dimensional $\mathrm{U}(1)$ lattice gauge theory with Villain action was given by G\"opfert and Mack. Beyond the…

Mathematical Physics · Physics 2026-02-03 Sourav Chatterjee

We prove a conjecture of Roe by constructing unified warped cones that violate the coarse Baum-Connes conjecture. Interestingly, the reason for this is probably not what Roe expected, as the obstruction arises in odd rather than even…

K-Theory and Homology · Mathematics 2025-05-23 Christos Kitsios , Thomas Schick , Federico Vigolo

Weak topologies that yield weak convergence for bounded sequences and nets in CAT($0$) spaces have been studied in the past. We are here concerned with weak topologies that yield weak convergence of unbounded sequences and nets. We analyze…

Metric Geometry · Mathematics 2022-04-05 Philip Miller , Arian Berdellima , Max Wardetzky

In this paper, we argue that, in 2-d, the weak localisation of bosons, which occurs on the insulating side of the superconductor-insulator transition, is characterised by $\rho \sim ln(1/T)$, as compared to $\sigma \sim lnT$ for fermions.…

Superconductivity · Physics 2009-10-31 D. Das , S. Doniach

We prove two results which are relevant for constructing marginally outer trapped tubes (MOTTs) in de Sitter spacetime. The first one holds more generally, namely for spacetimes satisfying the null convergence condition and containing a…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Marc Mars , Walter Simon , Roland Steinbauer , Carl Rossdeutscher

We address ZFC inequalities between some cardinal invariants of the continuum, which turned to be true in spite of strong expectations given by [RoSh:470].

Logic · Mathematics 2013-01-03 Tomek Bartoszyński , Andrzej Rosłanowski , Saharon Shelah

According to the Furstenberg-Zimmer structure theorem, every measure-preserving system has a maximal distal factor, and is weak mixing relative to that factor. Furstenberg and Katznelson used this structural analysis of measure-preserving…

Dynamical Systems · Mathematics 2010-06-17 Jeremy Avigad , Henry Towsner

We consider models of heavy fermions in the strong coupling or local moment limit and include phonon degrees of freedom on the conduction electrons. Due to the large mass or low coherence temperature of the heavy fermion state, it is shown…

Strongly Correlated Electrons · Physics 2010-03-02 M. Raczkowski , P. Zhang , F. F. Assaad , T. Pruschke , M. Jarrell