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The present work aims to exploit the interplay between the algebraic properties of rings and the graph-theoretic structures of their associated graphs. We introduce commutatively closed graphs and investigate properties of commutatively…

Rings and Algebras · Mathematics 2021-05-06 André Leroy , Mona Abdi

The paper investigates localized deformation patterns resulting from the onset of instabilities in lattice structures. The study is motivated by previous observations on discrete hexagonal lattices, where the onset of non-uniform,…

Soft Condensed Matter · Physics 2018-08-15 Raj Kumar Pal , Federico Bonetto , Luca Dieci , Massimo Ruzzene

A new class of integrable maps, obtained as lattice versions of polynomial dynamical systems is introduced. These systems are obtained by means of a discretization procedure that preserves several analytic and algebraic properties of a…

Dynamical Systems · Mathematics 2013-06-18 Piergiulio Tempesta

In recent years the investigation of hadron structure using lattice techniques has attracted growing attention. In this talk we give an overview on recent work with a focus on results for nucleon spectrum and structure from the QCDSF…

Atomically thin metallenes have emerged as a new member of the two-dimensional (2D) materials family. Recent experimental realization of metallenes in the {\AA}ngstr\"om limit has further intensified interest in this class of 2D materials.…

Materials Science · Physics 2026-03-03 Kameyab Raza Abidi , Mohammad Bagheri , Pekka Koskinen

A lattice model of critical spanning webs is considered for the finite cylinder geometry. Due to the presence of cycles, the model is a generalization of the known spanning tree model which belongs to the class of logarithmic theories with…

Statistical Mechanics · Physics 2008-12-18 J. G. Brankov , S. Y. Grigorev , V. B. Priezzhev , I. Y. Tipunin

In this paper we describe a mechanism to improve Information Retrieval (IR) on the web. The method is based on Formal Concepts Analysis (FCA) that it is makes semantical relations during the queries, and allows a reorganizing, in the shape…

Information Retrieval · Computer Science 2010-03-09 Abderrahim El Qadi , Driss Aboutajedine , Yassine Ennouary

In this thesis, I use the strong coupling expansion to investigate the multiflavor lattice Schwinger models in the hamiltonian formalism using staggered fermions. In particular, I am interested in analysing the mapping of these gauge…

High Energy Physics - Theory · Physics 2007-05-23 Federico Berruto

The construction of multigrid operators for disordered linear lattice operators, in particular the fermion matrix in lattice gauge theories, by means of algebraic multigrid and block LU decomposition is discussed. In this formalism, the…

High Energy Physics - Lattice · Physics 2016-09-01 Christoph Best

We propose a generalization of continuous lattices and domains through the concept of enriched closure space, defined as a closure space equipped with a preclosure operator satisfying some compatibility conditions. In this framework we are…

Logic in Computer Science · Computer Science 2017-05-16 Paul Poncet

This paper introduces statistical order convergence and its pointwise variant for sequences of order bounded operators between Riesz spaces. We establish fundamental properties: uniqueness of the limit, stability under lattice operations,…

Functional Analysis · Mathematics 2025-12-30 Abdullah Aydın , Erdal Bayram , İshak Aydın

A number of mechanisms that lead to the confinement of patterns to a small part of a translationally symmetric pattern-forming system are reviewed: nonadiabatic locking of fronts, global coupling and conservation laws, dispersion, and…

patt-sol · Physics 2007-05-23 Hermann Riecke

Control-flow refinement refers to program transformations whose purpose is to make implicit control-flow explicit, and is used in the context of program analysis to increase precision. Several techniques have been suggested for different…

Programming Languages · Computer Science 2019-08-01 Jesús J. Doménech , John P. Gallagher , Samir Genaim

Formal concepts and closed itemsets proved to be of big importance for knowledge discovery, both as a tool for concise representation of association rules and a tool for clustering and constructing domain taxonomies and ontologies.…

Artificial Intelligence · Computer Science 2017-04-21 Sergei O. Kuznetsov , Tatiana Makhalova

As the first part of the treatise on A General Theory of Concept Lattice (I-V), this work develops the general concept lattice for the problem concerning categorization of objects according to their properties. Unlike the conventional…

Logic in Computer Science · Computer Science 2019-08-06 Tsong-Ming Liaw , Simon C. Lin

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

We develop a general framework for construction and analysis of discrete extension operators with application to unfitted finite element approximation of partial differential equations. In unfitted methods so called cut elements intersected…

Numerical Analysis · Mathematics 2021-01-26 Erik Burman , Peter Hansbo , Mats G. Larson

This paper is motivated by the desire to study package management using the toolkit of the semantics of functional languages. As it transpires, this is deeply related to the semantics of concurrent computation. The models we produce are not…

Logic in Computer Science · Computer Science 2020-04-14 Gershom Bazerman , Raymond Puzio

Unification and generalization are operations on two terms computing respectively their greatest lower bound and least upper bound when the terms are quasi-ordered by subsumption up to variable renaming (i.e., $t_1\preceq t_2$ iff $t_1 =…

Programming Languages · Computer Science 2017-10-18 Hassan Aït-Kaci , Gabriella Pasi

We argue that the existing knowledge about modular decomposition of graphs and clan decomposition of 2-structures can be put to use advantageously in a context of data analysis. We show how to obtain visual descriptions of co-occurrence…

Databases · Computer Science 2020-11-03 Marie Ely Piceno , José Luis Balcázar