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CM

[Communications in Mathematics]

CM

Communications in Mathematics

Communications in Mathematics—created in 2009—is the continuation of the journal Acta Mathematica et Informatica Universitatis Ostraviensis, founded in 1993, which became Acta Mathematica Universitatis Ostraviensis in 2003. Communications in Mathematics publishes research and review articles in English in all areas of pure and applied mathematics, mathematical physics and computer science.

  • Director of publication: Jan Lata
  • Editor-in-chief: Ivan Kaygorodov
  • Medium: electronic
  • Frequency: annual
  • Date created: 2009
  • Date of publication on Episciences: 2021
  • eISSN: 2336-1298
  • Subjects: mathematics
  • Languages of publication: English
  • Review process: single blind peer review
  • CC BY-SA 4.0 licence
  • Publisher: University of Ostrava
    • Address: Dvořákova 7, 701 03 Ostrava
    • Country: Czech Republic
  • Contact: cm AT episciences.org
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Latest articles

On biharmonic functions on vector bundles

This paper is devoted to the investigation of harmonic and biharmonic functions on vector bundles equipped with spherically symmetric metrics. We will study the biharmonicity of vertical lifts of functions as well as $r$-radial functions on vector bundle manifolds and, as a consequence, we will construct an infinite two-parameter family of proper biharmonic functions.
Abbassi, Mohamed Tahar Kadaoui
November 25, 2023
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Non-associative algebraic structures: classification and structure

These are detailed notes for a lecture on "Non-associative Algebraic Structures: Classification and Structure" which I presented as a part of my Agrega\c{c}\~ao em Matem\'atica e Applica\c{c}\~oes (University of Beira Interior, Covilh\~a, Portugal, 13-14/03/2023).
Kaygorodov, Ivan
November 03, 2023
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Mathematics

EpiDEMES

[Épijournal de Didactique et Epistémologie des Mathématiques pour l’Enseignement Supérieur]

EpiDEMES

Épijournal de Didactique et Epistémologie des Mathématiques pour l’Enseignement Supérieur

Epijournal de Didactique et Epistémologie des Mathématiques pour l’Enseignement Supérieur (EpiDEMES) is a peer-reviewed journal founded in 2019 that publishes articles in French or English. EpiDEMES aims to build a documentary base for the initial and continuing education of teachers in higher education. The fields covered are didactics and epistemology of mathematics (AMS 97-XX Mathematics Education classification) with the object of study being mathematics in higher education and the phenomena linked to its teaching-learning.

  • Director of publication: Nicolas Grenier-Boley
  • Editors-in-chief: Nicolas Grenier-Boley and Hussein Sabra
  • Medium: electronic
  • Frequency: biannual
  • Date created: 2019
  • Date of publication on Episciences: 2019
  • eISSN: 2970-166X
  • Subjects: mathematics, didactics of mathematics
  • Languages of publication: English, French
  • Review process: single blind peer review
  • CC BY-SA 4.0 licence
  • Country: France
  • Contact: epidemes AT episciences.org
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Latest articles

Quelle est la place des exemples dans l'enseignement de l'algèbre abstraite ?

Enseigner l'algèbre abstraite, vue comme l'étude des structures et des propriétés des structures, à un niveau universitaire apparaît être un challenge pour les corps étudiant et professoral. Les professeurs de notre étude décrivent ce passage à travers l'abstraction pour le corps étudiant comme un « jeu de massacre », un « mur infranchissable » ou encore « un saut à travers l'abstraction ». Dans cet article, en appui sur une étude de cas (Candy, 2020) nous allons étudier les choix de professeurs enseignant l'algèbre abstraite à l'université. Ces professeurs ont été choisis car ils enseignent l'algèbre abstraite à l'université en France, de plus ils nous ont donné accès à leur corpus de cours et ont accepté d'être interviewés. Dans cet article, nous choisirons d'étudier en particulier l'enseignement du concept d'idéal. Une analyse épistémologique nous permettra de mettre en évidence son rôle central dans la construction de l'algèbre abstraite. Puis, en utilisant la théorie anthropologique du didactique (Chevallard, 1998), nous chercherons à préciser la place des exemples et exercices dans la praxis du corps étudiant.
Stalder, Julie
June 29, 2023
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Conceptions des étudiants des classes préparatoires en Tunisie sur l'intégrale de Riemann

The integral is one of the most important topics in Calculus that is difficult to be understood by many students. When solving definite integral application problems, previous research emphasizes that students found the antiderivative procedure more useful and easier than the approximation process or area (Akrouti, 2020). This paper focuses on students' conceptions of the definite integral in the first year of preparatory class. Data were collected from students' written responses to questions that relate to their views of integration. The analysis shows that the majority of students choose the algebraic process to evaluate the proposed integrals. Participants were first-semester calculus students enrolled in a public university.
Akrouti, Inen
June 06, 2023
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Mathematics

Epiga

[Épijournal de Géométrie Algébrique]

Epiga

Épijournal de Géométrie Algébrique

Epijournal de Géométrie Algébrique (Epiga) is a peer-reviewed mathematics journal created in 2016. Supported by the Epiga Association, it publishes articles annually in French or in English. The fields covered are algebraic geometry in the broadest sense, including complex and arithmetic geometry, algebraic group theory and representations.

  • Director of publication: Pierre-Emmanuel Chaput
  • Coordinating editor: Stéphane Druel
  • Medium: electronic
  • Frequency: annual
  • Date created: 2016
  • Date of publication on Episciences: 2016
  • eISSN: 2491-6765
  • Subjects: mathematics, algebraic geometry
  • Languages of publication: English, French
  • Review process: single blind peer review
  • CC BY-SA 4.0 licence
  • Publisher: Association Épiga
    • Address: Institut Elie Cartan de Lorraine, Université de Lorraine, BP 70239, 54506 Vandœuvre-lès-Nancy Cedex
    • Country: France
  • Contact: epiga AT episciences.org
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Latest articles

Finite $F$-representation type for homogeneous coordinate rings of non-Fano varieties

Finite $F$-representation type is an important notion in characteristic-$p$ commutative algebra, but explicit examples of varieties with or without this property are few. We prove that a large class of homogeneous coordinate rings in positive characteristic will fail to have finite $F$-representation type. To do so, we prove a connection between differential operators on the homogeneous coordinate ring of $X$ and the existence of global sections of a twist of $(\mathrm{Sym}^m \Omega_X)^\vee$. By results of Takagi and Takahashi, this allows us to rule out FFRT for coordinate rings of varieties with $(\mathrm{Sym}^m \Omega_X)^\vee$ not ``positive''. By using results positivity and semistability conditions for the (co)tangent sheaves, we show that several classes of varieties fail to have finite $F$-representation type, including abelian varieties, most Calabi--Yau varieties, and complete intersections of general type. Our work also provides examples of the structure of the ring of differential operators for non-$F$-pure varieties, which to this point have largely been unexplored.
Mallory, Devlin
December 06, 2023
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On the minimal model program for projective varieties with pseudo-effective tangent sheaf

In this paper, we develop a theory of pseudo-effective sheaves on normal projective varieties. As an application, by running the minimal model program, we show that projective klt varieties with pseudo-effective tangent sheaf can be decomposed into Fano varieties and Q-abelian varieties.
Matsumura, Shin-ichi
November 27, 2023
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Mathematics

HRJ

[Hardy-Ramanujan Journal]

HRJ

Hardy-Ramanujan Journal

Created in 1978, Hardy-Ramanujan Journal is a peer-reviewed journal. Published by the Hardy-Ramanujan Society, it publishes articles in English in fundamental mathematics, more specifically in number theory.

  • Director of publication: C.S. Aravinda
  • Editors-in-chief: C.S. Aravinda ; Atul Dixit ; Kotyada Srinivas
  • Medium: electronic
  • Frequency: annual
  • Date created: 1978
  • Date of publication on Episciences: 2014
  • eISSN: 2804-7370
  • Subjects: mathematics, number theory
  • Languages of publication: English
  • Review process: single blind peer review
  • CC BY 4.0 licence
  • Publisher: Hardy-Ramanujan Society
    • Address: Bhavana Trust, No.24, `Athreya’ 21st Main, 2nd Block, BSK I Stage BANGALORE — 560 050
    • Country: India
  • Contact: hrj AT episciences.org
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Latest articles

A modular relation involving a generalized digamma function and asymptotics of some integrals containing Ξ(t)

A modular relation of the form $F(\alpha, w)=F(\beta, iw)$, where $i=\sqrt{-1}$ and $\alpha\beta=1$, is obtained. It involves the generalized digamma function $\psi_w(a)$ which was recently studied by the authors in their work on developing the theory of the generalized Hurwitz zeta function $\zeta_w(s, a)$. The limiting case $w\to0$ of this modular relation is a famous result of Ramanujan on page $220$ of the Lost Notebook. We also obtain asymptotic estimate of a general integral involving the Riemann function $\Xi(t)$ as $\alpha\to\infty$. Not only does it give the asymptotic estimate of the integral occurring in our modular relation as a corollary but also some known results.
Dixit, Atul
February 06, 2023
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A Generalization of Iseki's Formula and The Jacobi Theta Function

In this paper we give a generalization of Iseki's formula and use it to prove the transformation law of $\theta_1(z,\tau)$.
Me'Meh, Maher
February 06, 2023
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Mathematics

jGCC

[journal of Groups, Complexity, Cryptology]

jGCC

journal of Groups, Complexity, Cryptology

The journal of Groups, Complexity, Cryptology (jGCC) is the continuation of the journal Groups, Complexity, Cryptology created in 2009. A peer-reviewed biannual journal, jGCC publishes research articles in the fields of combinatorial and computational group theory, complexity theory and cryptology.

  • Director of publication: Murray Elder
  • Editors-in-chief: Murray Elder ; Vladimir Shpilrain
  • Medium: electronic
  • Frequency: biannual
  • Date created: 2009
  • Date of publication on Episciences: 2020
  • eISSN: 1869-6104
  • Subjects: combinatorial and computational group theory, complexity theory, cryptology
  • Language of publication: English
  • Review process: single blind peer review
  • CC BY 4.0 licence
  • Contact: gcc-contact AT episciences.org
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Latest articles

Amenability problem for Thompson's group $F$: state of the art

This is a survey of our recent results on the amenability problem for Thompson's group $F$. They mostly concern esimating the density of finite subgraphs in Cayley graphs of $F$ for various systems of generators, and also equations in the group ring of $F$. We also discuss possible approaches to solve the problem in both directions.
Guba, Victor
October 19, 2023
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Bounding conjugacy depth functions for wreath products of finitely generated abelian groups

In this article, we study the asymptotic behaviour of conjugacy separability for wreath products of abelian groups. We fully characterise the asymptotic class in the case of lamplighter groups and give exponential upper and lower bounds for generalised lamplighter groups. In the case where the base group is infinite, we give superexponential lower and upper bounds. We apply our results to obtain lower bounds for conjugacy depth functions of various wreath products of groups where the acting group is not abelian.
Ferov, Michal
September 28, 2023
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Mathematics

JNSAO

[Journal of Nonsmooth Analysis and Optimization]

JNSAO

Journal of Nonsmooth Analysis and Optimization

Established in 2019, the Journal of Nonsmooth Analysis and Optimization (JNSAO) publishes articles in English on all aspects of nonsmooth analysis related to optimization and equilibrium problems.

  • Director of publication: Christian Clason
  • Editors-in-chief: Christian Clason ; Tuomo Valkonen
  • Medium: electronic
  • Frequency: continuous
  • Date created: 2019
  • Date of publication on Episciences: 2019
  • eISSN: 2700-7448
  • Subjects: variational analysis, theory and algorithms for nonsmooth optimization and equilibrium problems, robust and chance-constrained stochastic optimization
  • Language of publication: English
  • Review process: single blind peer review
  • CC BY 4.0 licence
  • Contact: jnsao AT episciences.org
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Latest articles

Proximal methods for point source localisation

Point source localisation is generally modelled as a Lasso-type problem on measures. However, optimisation methods in non-Hilbert spaces, such as the space of Radon measures, are much less developed than in Hilbert spaces. Most numerical algorithms for point source localisation are based on the Frank-Wolfe conditional gradient method, for which ad hoc convergence theory is developed. We develop extensions of proximal-type methods to spaces of measures. This includes forward-backward splitting, its inertial version, and primal-dual proximal splitting. Their convergence proofs follow standard patterns. We demonstrate their numerical efficacy.
Valkonen, Tuomo
September 21, 2023
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Optimal Control of a Viscous Two-Field Damage Model with Fatigue

Motivated by fatigue damage models, this paper addresses optimal control problems governed by a non-smooth system featuring two non-differentiable mappings. This consists of a coupling between a doubly non-smooth history-dependent evolution and an elliptic PDE. After proving the directional differentiability of the associated solution mapping, an optimality system which is stronger than the one obtained by classical smoothening procedures is derived. If one of the non-differentiable mappings becomes smooth, the optimality conditions are of strong stationary type, i.e., equivalent to the primal necessary optimality condition.
Betz, Livia
August 11, 2023
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Mathematics

OCNMP

[Open Communications in Nonlinear Mathematical Physics]

OCNMP

Open Communications in Nonlinear Mathematical Physics

Created in 2020, Open Communications in Nonlinear Mathematical Physics (OCNMP) is a mathematical journal focusing on nonlinear problems in mathematical physics. It publishes annual articles in English.

  • Director of publication: Norbert Euler
  • Editor-in-chief: Norbert Euler
  • Medium: electronic
  • Frequency: annual
  • Date created: 2020
  • Date of publication on Episciences: 2021
  • eISSN: 2802-9356
  • Subjects: mathematics, mathematical physics, non-linear sciences
  • Languages of publication: English
  • Review process: single blind peer review
  • CC BY 4.0 licence
  • Publisher: International Society of Nonlinear Mathematical Physics
    • Address: Auf der Hardt 27, 56130 Bad Ems
    • Country: Germany
  • Contact: ocnmp AT episciences.org
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Latest articles

Geometrical description of equations related to the E8 affine Weyl group

We present a method for the construction of the trajectory of a discrete Painlev\'e equation associated with the affine Weyl group E$_8^{(1)}$ on the weight lattice of said group. The method is based on the geometrical description of the lattice and the construction of the fundamental Miura relation. To this end we introduce the relation between the nonlinear variables and the corresponding $\tau$ functions. Our approach is heuristic and makes use of some simple rules of thumb in order to derive the result. Once the latter is obtained, verifying that it does indeed correspond to the equation at hand is elementary. We apply our approach to the explicit construction of the trajectory of well-known, E$_8^{(1)}$ associated, discrete Painlev\'e equations derived in previous works of ours. For each of them we investigate the possibility of defining an evolution by periodically skipping up to four intermediate points in the trajectory and identifying the resulting equation to one previously obtained, whenever the latter exists.
Ramani, Alfred
November 13, 2023
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Derivation of Painlevé type system with $D_4^{(1)}$ affine Weyl group symmetry in a self-similarity limit

We show how the zero-curvature equations based on a loop algebra of $D_4$ with a principal gradation reduce via self-similarity limit to a polynomial Hamiltonian system of coupled Painlev\'e III models with four canonical variables and $D_4^{(1)}$ affine Weyl group symmetry.
Aratyn, H.
September 06, 2023
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Mathematics

RDM

[Recherche en Didactique des Mathématiques]

RDM

Recherche en Didactique des Mathématiques

Coming soon

Founded in 1980, Recherches en Didactique des Mathématiques is an international journal of fundamental research in the didactics of mathematics. Edited by the Association pour la Recherche en Didactique des Mathématiques, it publishes articles in English, French and Spanish three times a year.

  • Director of publication: Marie-Line Gardes
  • Editorial manager: Cécile Ouvrier-Buffet
  • Editors-in-chief: Nicolas Grenier-Boley and Sophie Soury-Lavergne
  • Medium: electronic
  • Frequency: three volumes per year
  • Date created: 1980
  • Date of publication on Episciences: 2023
  • eISSN: 2728-2422
  • Subjects: applied mathematics, didactics of mathematics
  • Languages of publication: English, French, Spanish
  • Review process: single blind peer review
  • CC BY 4.0 licence
  • Publisher: Association pour la Recherche en Didactique des Mathématiques (ARDM)
    • Address: Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 Paris
    • Country: France
  • Contact: rdm AT episciences.org
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