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We generalise Jensen's result on the incompatibility of subcompactness with square. We show that alpha^+-subcompactness of some cardinal less than or equal to alpha precludes square_alpha, but also that square may be forced to hold…

Logic · Mathematics 2014-10-01 Andrew D. Brooke-Taylor , Sy-David Friedman

We show (in ZFC) that the cardinality of a compact homogeneous space of countable tightness is no more than the size of the continuum.

General Topology · Mathematics 2007-05-23 Ramiro de la Vega

We define weak $Z(q)$, a generalization of $Z(q)$ on bounded domains $\Omega$ in a Stein manifold $M^n$ that suffices to prove closed range of $\bar\partial$. Under the hypothesis of weak $Z(q)$, we also show (i) that harmonic $(0,q)$-forms…

Complex Variables · Mathematics 2011-06-06 Phillip Harrington , Andrew Raich

We employ a mean-field theory to study ground-state properties and transport of a two-dimensional gas of ultracold alklaline-earth metal atoms governed by the Kondo Lattice Hamiltonian plus a parabolic confining potential. In a homogenous…

Quantum Gases · Physics 2015-05-19 Michael Foss-Feig , Michael Hermele , Victor Gurarie , Ana Maria Rey

This paper explores several topics related to Woodin's HOD conjecture. We improve the large cardinal hypothesis of Woodin's HOD dichotomy theorem from an extendible cardinal to a strongly compact cardinal. We show that assuming there is a…

Logic · Mathematics 2021-07-02 Gabriel Goldberg

In this paper we introduce a general notion of weak extension property for embeddings induced by a group actions. As an example, for the group H(M, m) of measure-preserving homeomorphisms of a noncompact manifold M, we deduce weak type…

Geometric Topology · Mathematics 2009-04-09 Tatsuhiko Yagasaki

We prove that termination of lower dimensional flips for generalized klt pairs implies termination of flips for log canonical generalized pairs with a weak Zariski decomposition. Moreover, we prove that the existence of weak Zariski…

Algebraic Geometry · Mathematics 2020-03-26 Christopher D. Hacon , Joaquín Moraga

Certain scalar-tensor theories exhibit the so-called chameleon mechanism, whereby observational signatures of scalar fields are hidden by a combination of self-interactions and interactions with ambient matter. Not all scalar-tensor…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Philippe Brax , Carsten van de Bruck , David F. Mota , Nelson J. Nunes , Hans A. Winther

A positive, non-saturating and dominantly linear magnetoresistance is demonstrated to occur in the surface state of a topological insulator having a wavevector-linear energy dispersion together with a finite positive Zeeman energy…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 C. M. Wang , X. L. Lei

Let $u(t,x)$ be the solution to the Cauchy problem of a scalar conservation law in one space dimension. It is well known that even for smooth initial data the solution can become discontinuous in finite time and global entropy weak solution…

Analysis of PDEs · Mathematics 2022-09-02 Yi Zhou

Ultra-thin 3D topological insulators provide a stage to study the surface physics of such materials by minimizing the bulk contribution. Further, the experimentally verified snowflake like structure of the Fermi surface leads to a hexagonal…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Anirudha Menon , Debashree Chowdhury , Banasri Basu

Weakly Schreier split extensions are a reasonably large, yet well-understood class of monoid extensions, which generalise some aspects of split extensions of groups. This short note provides a way to define and study similar classes of…

Rings and Algebras · Mathematics 2023-07-18 Graham Manuell , Nelson Martins-Ferreira

We consider a seemingly weaker form of $\Delta^1_1$ Turing determinacy. Let $2 \leq \rho < \omega_1^{\textrm{CK}}$, $\textrm{Weak-Turing-Det}_\rho (\Delta^1_1)$ is the statement: Every $\Delta^1_1$ set of reals cofinal in the Turing degrees…

Logic · Mathematics 2022-06-20 Ramez L. Sami

We present the results of an extended scaling test of quenched Wilson twisted mass QCD. We fix the twist angle by using two definitions of the critical mass, the first obtained by requiring the vanishing of the pseudoscalar meson mass m_PS…

High Energy Physics - Lattice · Physics 2007-05-23 K. Jansen , M. Papinutto , A. Shindler , C. Urbach , I. Wetzorke

We present a full quantal study on the dissociation of a weakly bound molecular ion in the presence of an external time-dependent electric field. We focus on the dissociation dynamics of a molecular ion in a Paul trap relevant for atom-ion…

Atomic Physics · Physics 2021-09-22 Jesús Pérez-Ríos

In this article we give a Drinfeld modular interpretation for various towers of function fields meeting Zink's bound.

Number Theory · Mathematics 2016-10-18 Nurdagül Anbar , Alp Bassa , Peter Beelen

We show that it is consistent, relative to $\omega$ many supercompact cardinals, that the super tree property holds at $\aleph_n$ for all $2 \leq n < \omega$ but there are weak square and a very good scale at $\aleph_{\omega}$.

Logic · Mathematics 2016-11-08 Yair Hayut , Spencer Unger

The main result of this work is a homogenization theorem via variational convergence for elastic materials with stiff checkerboard-type heterogeneities under the assumptions of physical growth and non-self-interpenetration. While the…

Analysis of PDEs · Mathematics 2023-03-29 Wolf-Patrick Düll , Dominik Engl , Carolin Kreisbeck

Heavy fermion materials have recently attracted attention for their potential to combine topological protection with strongly correlated electron physics. To date, the ideas of topological protection have been restricted to the heavy…

Strongly Correlated Electrons · Physics 2017-08-03 Po-Yao Chang , Onur Erten , Piers Coleman

We introduce a hierarchy of models of the Axiom of Determinacy called \emph{Nairian models}. Forcing over the simplest Nairian model, we obtain a model of ${\sf{ZFC}}+{\sf{MM^{++}}}(c)+\neg\square_{\omega_3}+\neg\square(\omega_3)$. Then,…

Logic · Mathematics 2025-02-03 Douglas Blue , Paul B. Larson , Grigor Sargsyan
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