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In this article, we discuss the continuous version of the generalized exchange-driven growth model which is a variant of the coagulation model in which a smaller size particle is detached from a bigger one and merges with another particle.…

Analysis of PDEs · Mathematics 2025-09-03 Prasanta K. Barik , Fernando P. da Costa , João T. Pinto , Rafael Sasportes

This is a comprehensive study of the relations between the global, local and pointwise variants of irreducibility and integrity of schemes, including examples and counterexamples, and aimed especially at learners of algebraic geometry.

Algebraic Geometry · Mathematics 2020-07-01 Fred Rohrer

This paper is devoted to the investigation of the property of order separability for free products of groups.

Group Theory · Mathematics 2010-07-21 Vladimir V. Yedynak

In this position paper (1) we discuss two particular aspects of Systems of Systems, i.e., variability and evolution. (2) We argue that concepts from Product Line Engineering and Software Evolution are relevant to Systems of Systems…

Software Engineering · Computer Science 2013-11-15 Goetz Botterweck

The difference between the terms additivity and extensivity, as well as their respective negations, is critically analyzed and illustrated with a few examples. The concepts of subadditivity, pseudo-additivity, and pseudo-extensivity are…

Statistical Mechanics · Physics 2007-05-23 Hugo Touchette

In this paper, we discuss a general framework for multicontinuum homogenization. Multicontinuum models are widely used in many applications and some derivations for these models are established. In these models, several macroscopic…

Numerical Analysis · Mathematics 2023-09-18 E. Chung , Y. Efendiev , J. Galvis , W. T. Leung

Extending the idea of Even and Lehrer [3], we discuss a general approach to integration based on a given decomposition system equipped with a weighting function, and a decomposition of the integrated function. We distinguish two type of…

Functional Analysis · Mathematics 2015-01-05 Salvatore Greco , Radko Mesiar , Fabio Rindone , Ladislav Sipeky

Family of replica matrices, related to general ultrametric spaces with general measures, is introduced. These matrices generalize the known Parisi matrices. Some functionals of replica approach are computed. Replica symmetry breaking…

Disordered Systems and Neural Networks · Physics 2015-06-25 A. Yu. Khrennikov , S. V. Kozyrev

We propose a generalisation of Exel's crossed product by a single endomorphism and a transfer operator to the case of actions of abelian semigroups of endomorphisms and associated transfer operators. The motivating example for our…

Operator Algebras · Mathematics 2007-05-23 Nadia S. Larsen

We prove a general congruence result for bisimilarity in higher-order languages, which generalises previous work to languages specified by a labelled transition system in which programs may occur as labels, and which may rely on operations…

Logic in Computer Science · Computer Science 2023-03-22 Tom Hirschowitz , Ambroise Lafont

We discuss different generalizations of Zariski decomposition, relations between them and connections with finite generation of divisorial algebras.

Algebraic Geometry · Mathematics 2010-04-26 Yuri G. Prokhorov

We consider bicrossed products obtained by twisting compact semi-direct products by a suitable finite subgroup. Under some restriction, we give a practical criterion for the discrete dual of such bicrossed products to have the rapid decay…

Operator Algebras · Mathematics 2025-10-28 Hua Wang

This text surveys different probabilistic aspects of a model which is used to describe the evolution of an object that falls apart randomly as time passes. Each point of view yields useful techniques to establish properties of such random…

Probability · Mathematics 2007-05-23 Jean Bertoin

We introduce a common generalization of the L-R-smash product and twisted tensor product of algebras, under the name L-R-twisted tensor product of algebras. We investigate some properties of this new construction, for instance we prove a…

Quantum Algebra · Mathematics 2010-07-15 Madalin Ciungu , Florin Panaite

We report a simple rigidity theorem for certain Euler products.

Number Theory · Mathematics 2021-07-13 Shin-ya Koyama , Nobushige Kurokawa

The theory of unified product and extending structures for alternative and pre-alternative algebras are developed. It is proved that the extending structures of these algebras can be classified by using some non-abelian cohomology and…

Rings and Algebras · Mathematics 2021-08-24 Tao Zhang , Shuxian Cui , Jing Si

In order to assess the accuracy of commonly used approximate exchange-correlation density functionals, we present a comparison of accurate exchange and correlation potentials, exchange energy densities and energy components with the…

Condensed Matter · Physics 2007-05-23 Claudia Filippi , Xavier Gonze , C. J. Umrigar

The aim of this work is to show how we can decompose a module (if decomposable) into an indecomposable module with the help of the minimization process.

Symbolic Computation · Computer Science 2016-08-31 Gerard Duchamp , Hatem Hadj Kacem , Eric Laugerotte

We use lexicographic products to give examples of compact spaces of first Baire class functions on a compact metric space that cannot be represented as spaces of functions with countably many discontinuities.

General Topology · Mathematics 2019-08-30 Antonio Avilés , Stevo Todorcevic

Some inequalities in 2-inner product spaces generalizing Bessel's result that are similar to the Boas-Bellman inequality from inner product spaces, are given. Applications for determinantal integral inequalities are also provided.

Functional Analysis · Mathematics 2007-05-23 S. S. Dragomir , Y. J. Cho , S. S. Kim , A. Sofo