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The class of normal subshifts includes irreducible infinite topological Markov shifts, irreducible infinite sofic shifts, synchronized systems, Dyck shifts, $\beta$-shifts, substitution minimal shifts, and so on. We will characterize…

Operator Algebras · Mathematics 2021-04-13 Kengo Matsumoto

In this paper we explore finite rank perturbations of unilateral weighted shifts $W_\alpha$. First, we prove that the subnormality of $W_\alpha$ is never stable under nonzero finite rank pertrubations unless the perturbation occurs at the…

Functional Analysis · Mathematics 2007-05-23 Raul E. Curto , Woo Young Lee

Usually bundle gerbes are considered as objects of a 2-groupoid, whose 1-morphisms, called stable isomorphisms, are all invertible. I introduce new 1-morphisms which include stable isomorphisms, trivializations and bundle gerbe modules.…

Category Theory · Mathematics 2007-06-13 Konrad Waldorf

We present a brief review of some recent results on conformal anomalies in four and more dimensions. The discussion is intended for relativists, so some background on the quantum origin of anomalies and of their simple properties in D=2 is…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser

In this paper we prove some results on the possible multiplicative orders of $\alpha + \alpha^{-1}$ when $\alpha$ is a non-zero element of a finite field of characteristic 2. The results of the paper rely on a previous investigation on the…

Number Theory · Mathematics 2021-08-11 Simone Ugolini

This article explores the relationship between Garding cones, demonstrating that the shift cone $\overline{\Gamma}^{+}_{2}(\alpha)$ is contained in $\overline{\mathcal{P}}_{m}$. By combining these results with the study of positivity…

Differential Geometry · Mathematics 2025-06-19 Teng Huang , Jiaogen Zhang

Let $A$ be a finite group acting by automorphisms on the finite group $G$. We introduce the commuting graph $\Gamma (G,A)$ of this action and study some questions related to the structure of $G$ under certain graph theoretical conditions on…

Group Theory · Mathematics 2019-08-27 İsmail Ş. Güloğlu , Gülin Ercan

We present a class of supergravity $\alpha$-attractors with an approximate global U(1) symmetry corresponding to the axion direction. We also develop a multi-field generalization of these models and show that the $\alpha$-attractor models…

High Energy Physics - Theory · Physics 2020-05-20 Yusuke Yamada

We characterize two-weight inequalities for certain maximal truncations of the Hilbert transform in terms of testing conditions on simpler functions. For 1<p<2 and two positive Borel measures u, v on R, we assume that u is doubling, and we…

Classical Analysis and ODEs · Mathematics 2015-09-07 M. T. Lacey , E. T. Sawyer , I. Uriarte-Tuero

Some criteria for graded local cohomology to commute with coarsening functors are proven, and an example is given where graded local cohomology does not commute with coarsening.

Commutative Algebra · Mathematics 2014-04-03 Fred Rohrer

In this paper we give a new prove of hyperbolicity of renormalization of critical circle maps using the formalism of almost-commuting pairs. We extend renormalization to two-dimensional dissipative maps of the annulus which are small…

Dynamical Systems · Mathematics 2019-11-13 Denis Gaidashev , Michael Yampolsky

In the classification of real singularities by Arnold et al. (1985), normal forms, as representatives of equivalence classes under right equivalence, are not always uniquely determined. We describe the complete structure of the equivalence…

Algebraic Geometry · Mathematics 2016-01-18 Magdaleen S. Marais , Andreas Steenpass

The requirement that duality and renormalization group transformations commute as motions in the space of a theory has recently been explored to extract information about the renormalization flows in different statistical and field…

High Energy Physics - Theory · Physics 2007-05-23 Peter E. Haagensen

Let $G$ be a finite, non-abelian group of the form $G = A N$, where $A \leq G$ is abelian, and $N \trianglelefteq G$ is cyclic. We prove that the commuting graph $\Gamma(G)$ of $G$ is either a connected graph of diameter at most four, or…

Group Theory · Mathematics 2024-11-27 Timo Velten

The Milnor formula $\mu=2\delta-r+1$ relates the Milnor number $\mu$, the double point number $\delta$ and the number $r$ of branches of a plane curve singularity. It holds over the fields of characteristic zero. Melle and Wall based on a…

Algebraic Geometry · Mathematics 2018-12-18 Evelia R. García Barroso , Arkadiusz Płoski

We study the upper and lower regularity dimensions in relation to the notions of doubling and uniformly perfect. These two regularity properties are closely related which is quantified thanks to the regularity dimensions. The regularity…

Metric Geometry · Mathematics 2019-11-01 Douglas C. Howroyd

We investigate the quadratic descent of totally decomposable algebras with involution of orthogonal type in characteristic two. Both separable and inseparable extensions are included.

Rings and Algebras · Mathematics 2016-07-12 Amir Hossein Nokhodkar

We introduce and study "norm-multiplicative" homomorphisms $\varphi: {\cal L}^1(F) \rightarrow {\cal M}_r(G)$ between group and measure algebras, and $\varphi: {\cal L}^1(\omega_F) \rightarrow {\cal M}(\omega_G)$ between Beurling group and…

Functional Analysis · Mathematics 2021-08-02 Matthew E. Kroeker , Alexander Stephens , Ross Stokke , Randy Yee

It is shown that a class of important integrable nonlinear evolution equations in (2+1) dimensions can be associated with the motion of space curves endowed with an extra spatial variable or equivalently, moving surfaces. Geometrical…

solv-int · Physics 2013-10-15 M. Lakshmanan , R. Myrzakulov , S. Vijayalakshmi , A. K. Danlybaeva

We characterize all translation invariant half planar maps satisfying a certain natural domain Markov property. For p-angulations with p \ge 3 where all faces are simple, we show that these form a one-parameter family of measures…

Probability · Mathematics 2014-02-27 Omer Angel , Gourab Ray