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The paper investigates quantitative weak mixing of Salem substitutions flows. We prove that for a substitution whose substitution matrix is irreducible over the rationals and the dominant eigenvalue is a Salem number, for almost every…

Dynamical Systems · Mathematics 2026-01-22 Juan Marshall-Maldonado , Boris Solomyak

We start by building up some theory to state Wagner's Theorem, and then prove it using Kuratowski's Theorem, a proof of which is found in Diester (2000). Following this, we establish some connections between the chromatic number of a graph…

Combinatorics · Mathematics 2019-01-25 Arnold Tan Junhan

The paper focuses on some versions of connected dominating set problems: basic problems and multicriteria problems. A literature survey on basic problem formulations and solving approaches is presented. The basic connected dominating set…

Data Structures and Algorithms · Computer Science 2020-09-22 Mark Sh. Levin

We learn mathematics subjectively and must apply it objectively. But sometimes, we apply it subjectively by using wrong intuitions which may be elusive to our eyes. The aim of this note is to disclose the secretes of two kinds of these…

Functional Analysis · Mathematics 2017-01-23 Fouad Naderi

We consider a general weak perturbation of a non-interacting quantum lattice system with a non-degenerate gapped ground state. We prove that the presence of isolated eigenvalues in the spectrum of the decoupled model leads to the existence…

Mathematical Physics · Physics 2007-05-23 D. A. Yarotsky

We introduce and study weak o-minimality in the context of complete types in an arbitrary first-order theory. A type $p\in S(A)$ is weakly o-minimal if for some relatively $A$-definable linear order, $<$, on $p(\mathfrak{C})$ every…

Logic · Mathematics 2026-02-24 Slavko Moconja , Predrag Tanović

We generalize QCD at asymptotically large isospin chemical potential to an arbitrary even number of flavors. We also allow for small quark chemical potentials, which stress the coincident Fermi surfaces of the paired quarks and lead to a…

High Energy Physics - Phenomenology · Physics 2014-10-15 Takuya Kanazawa , Tilo Wettig

Fixed point iterations are a fundamental tool in numerical analysis and scientific computing for the approximation of solutions to nonlinear problems. Their convergence is often established via the Banach fixed point theorem, provided that…

Numerical Analysis · Mathematics 2026-04-29 Thomas P. Wihler

A multi-component weakly-interacting dark matter scenario is analyzed, where the candidate dark matter states arise from the $SU(2)_{D}\to Z_{3}^{D}\times Z_{2}^{\text{acc}}$ symmetry breaking triggered by a VEV-developing scalar in the…

High Energy Physics - Phenomenology · Physics 2025-05-16 Carlos Alvarado , Alfredo Aranda , Cesar Bonilla , Carlos Ramos Portalatino

We explore the consequences of layering a Lambek proof system over an arbitrary (constraint) logic. A simple model-theoretic semantics for our hybrid language is provided for which a particularly simple combination of Lambek's and the proof…

cmp-lg · Computer Science 2008-02-03 Jochen Doerre , Suresh Manandhar

Many algebras are expected to have the Weak Lefschetz property though this is often very difficult to establish. We illustrate the subtlety of the problem by studying monomial and some closely related ideals. Our results exemplify the…

Commutative Algebra · Mathematics 2009-01-28 Juan C. Migliore , Rosa M. Miro-Roig , Uwe Nagel

We say that an infinite word w is weak abelian periodic if it can be factorized into finite words with the same frequencies of letters. In the paper we study properties of weak abelian periodicity, its relations with balance and frequency.…

Combinatorics · Mathematics 2013-02-19 Sergey Avgustinovich , Svetlana Puzynina

Local versions of measurability have been around for a long time. Roughly, one splits the notion of $\mu $-completeness into pieces, and asks for a uniform ultrafilter over $\mu $ satisfying just some piece of $\mu $-completeness. Analogue…

Logic · Mathematics 2014-04-08 Paolo Lipparini

Quite recently, a new property related to norm-attaining operators has been introduced: the weak maximizing property (WMP). In this note, we define a generalised version of it considering other topologies than the weak one (mainly the…

Functional Analysis · Mathematics 2021-06-08 Luis C. Garcia-Lirola , Colin Petitjean

This review contains an overview of strong interaction effects in weak decays starting with a historical introduction. It contains a short overview of semileptonic decays and their relevance for measuring CKM matrix elements. The main part…

High Energy Physics - Phenomenology · Physics 2016-11-23 Johan Bijnens

A \emph{mixed graph} is a graph with directed edges, called arcs, and undirected edges. A $k$-coloring of the vertices is proper if colors from ${1,2,...,k}$ are assigned to each vertex such that $u$ and $v$ have different colors if $uv$ is…

Combinatorics · Mathematics 2016-05-10 Matthias Beck , Daniel Blado , Joseph Crawford , Taina Jean-Louis , Michael Young

The achievement of selectivity in the formation of cubic diamond is challenging due to the emergence of competing phases such as its hexagonal polymorph or clathrates possessing similar free energy. Although both polymorphs exhibit a…

Soft Condensed Matter · Physics 2025-01-14 Dariusz Tarasewicz , Edyta Raczyłło , Wojciech Rżysko , Łukasz Baran

The standard CDM model fails to describe the power spectrum of fluctuations since it gives too much power at small scales. Among other possible improvements, it has been suggested that an agreement with observations can be achieved with the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Masiero , D. Montanino , M. Peloso

The requirement for an ultraviolet completable theory to be well-behaved upon compactification has been suggested as a guiding principle for distinguishing the landscape from the swampland. Motivated by the weak gravity conjecture and the…

High Energy Physics - Theory · Physics 2017-11-15 Yuta Hamada , Gary Shiu

We study problems related to indecomposability of modules over certain local finite dimensional trivial extension algebras. We do this by purely combinatorial methods. We introduce the concepts of graph of cyclic modules, of combinatorial…

Rings and Algebras · Mathematics 2019-10-31 Juan Orendain