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We characterize the inclusions of weighted classes of entire functions in terms of the defining weights resp. weight systems. First we treat weights defined in terms of a so-called associated weight function where the weight(system) is…

Complex Variables · Mathematics 2024-01-24 Gerhard Schindl

We introduce the concept of constructible ideal and we relate this concept with the notion of constructible simplicial complex. Several properties of constructible ideals are studied.

Commutative Algebra · Mathematics 2007-11-13 Anda Olteanu

In this paper we introduce the notion of quasi-expansivity for 2D CA and we show that it shares many properties with expansivity (that holds only for 1D CA). Similarly, we introduce the notions of quasi-sensitivity and prove that the…

Formal Languages and Automata Theory · Computer Science 2009-09-29 Enrico Formenti , Alberto Dennunzio , Michael Weiss

In this paper, we give a characterization for the amalgamation to be a SIT-ring and also we give a characterization for the bi-amalgamation to be a SITT-ring. We also give some characterizations for strong weakly SIT-rings.

Commutative Algebra · Mathematics 2022-12-26 A. Aruldoss , C. Selvaraj

Convex sets of completely positive maps and positive semidefinite kernels are considered in the most general context of modules over $C^*$-algebras and a complete charaterization of their extreme points is obtained. As a byproduct, we…

Quantum Physics · Physics 2014-03-05 Juha-Pekka Pellonpää

We introduce quasi-Prufer extensions of rings in order to relativize the notion of quasi-Prufer domains and to take into account some contexts recently introduced in the literature. We also introduce almost-Prufer ring extensions.…

Commutative Algebra · Mathematics 2016-11-01 Gabriel Picavet , Martine Picavet-L'Hermitte

The concept of the {\em half density matrix} is proposed. It unifies the quantum states which are described by density matrices and physical processes which are described by completely positive maps. With the help of the half-density-matrix…

Quantum Physics · Physics 2009-11-06 Sixia Yu

In this work, we introduce a new generalized integral transform involving many potentially known or new transforms as special cases. Basic properties of the new integral transform, that investigated in this work, include the existence…

Classical Analysis and ODEs · Mathematics 2022-07-28 Mohamed Akel

We study classes of graded structures satisfying the properties of amalgamation, joint embedding and hereditariness. Given appropriate conditions, we can build a graded analogue of the Fraisse limit. Some examples such as the class of all…

Logic · Mathematics 2018-09-24 Guillermo Badia , Carles Noguera

In this work we investigate the asymptotic behaviour of weighted partial sums of a particular class of random variables related to Oppenheim series expansions. More precisely, we verify convergence in probability as well as almost sure…

Probability · Mathematics 2020-04-08 Rita Giuliano , Milto Hadjikyriakou

The aim of this note is to provide a conceptually simple demonstration of the fact that repetitive model sets are characterized as the repetitive Meyer sets with an almost automorphic associated dynamical system.

Dynamical Systems · Mathematics 2016-04-06 Jean-baptiste Aujogue

Detecting and exploiting similarities between seemingly distant objects is without doubt an important human ability. This paper develops \textit{from the ground up} an abstract algebraic and qualitative notion of similarity based on the…

Artificial Intelligence · Computer Science 2025-05-20 Christian Antić

We give an abstract framework to transfer generalized amalgamation from a simple theory to another, and we apply it to theories of lovely pairs and of bounded PAC structures. We show in particular that bounded pseudo-algebraically closed…

Logic · Mathematics 2026-03-03 Baptiste Schilling

Let M be a closed (n-1)-connected 2n-dimensional smooth manifold with n > 2. In terms of the system of invariants for such manifolds introduced by Wall, we obtain necessary and sufficient conditions for M to admit an almost complex…

Algebraic Topology · Mathematics 2011-10-11 Huijun Yang

We consider notions of metrized categories, and then approximate categorical structures defined by a function of three variables generalizing the notion of $2$-metric space. We prove an embedding theorem giving sufficient conditions for an…

Category Theory · Mathematics 2015-11-06 Abdelkrim Aliouche , Carlos Simpson

Copositive and completely positive matrices play an increasingly important role in Applied Mathematics, namely as a key concept for approximating NP-hard optimization problems. The cone of copositive matrices of a given order and the cone…

Optimization and Control · Mathematics 2017-01-31 Naomi Shaked-Monderer , Abraham Berman , Immanuel M. Bomze , Florian Jarre , Werner Schachinger

The categories of almost modules and almost algebras are introduced as a convenient setting for the development of Faltings' method of almost etale extensions. After some preliminaries of general "almost homological algebra" we construct…

Algebraic Geometry · Mathematics 2007-05-23 Ofer Gabber , Lorenzo Ramero

We study the Kuramoto model with attractive sine coupling. We introduce a complex-valued matrix formulation whose argument coincides with the original Kuramoto dynamics. We derive an exact solution for the complex-valued model, which…

Dynamical Systems · Mathematics 2021-08-17 Lyle Muller , Ján Minác , Tung T. Nguyen

The literature on judgment aggregation is moving from studying impossibility results regarding aggregation rules towards studying specific judgment aggregation rules. Here we give a structured list of most rules that have been proposed and…

Artificial Intelligence · Computer Science 2016-12-07 Jerôme Lang , Gabriella Pigozzi , Marija Slavkovik , Leendert van der Torre , Srdjan Vesic

A survey of recent results in elementary number theory is presented in this paper. Special attention is given to structure and asymptotic properties of certain families of positive integers.

Number Theory · Mathematics 2007-05-23 Giuseppe Melfi