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Mathematics
AFM
[Annals of Formalized Mathematics]
AFM
Annals of Formalized Mathematics
Founded in 2024, the MathOA-supported journal Annals of Formalized Mathematics publishes original articles about formalized mathematics and mathematical applications of proof assistants. The journal accepts papers in English that are typically accompanied by a code artifact.
- Director of publication: Jos Baeten
- Managing Editors: Robert Y. Lewis ; Filippo A. E. Nuccio Mortarino Majno di Capriglio
- Medium: electronic
- Frequency: continuous
- Date created: 2024
- Date of publication on Episciences: 2024
- Subjects: formalized mathematics
- Language of publication: English
- Review process: single blind peer review
- CC BY 4.0 licence
- Publisher: MathOA
- Address: Centrum Wiskunde & Informatica, P.O. Box 94079, 1090 GB Amsterdam
- Country: The Netherlands
- Contact: afm AT episciences.org
Mathematics
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
Latest articles
Partially Alternative Algebras
In this paper, we introduce a novel generalization of the classical property of algebras known as "being alternative," which we term "partially alternative." This new concept broadens the scope of alternative algebras, offering a fresh perspective on their structural properties. We showed that partially alternative algebras exist in any even dimension. Then we classified middle $\mathbb C$-associative (noncommutative) algebras satisfying partial alternativity condition. We demonstrated that for any four-dimensional partially alternative real division algebra, one can select a basis that significantly simplifies its multiplication table. Furthermore, we established that every four-dimensional partially alternative real division algebra naturally gives rise to a real Lie algebra, thereby bridging these two important algebraic frameworks. Our work culminates in a description of all Lie algebras arising from such partially alternative algebras. These results extend our understanding of algebraic structures and reveal new connections between different types of algebras.
Hua, Tianran
April 30, 2025
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Moderate, large and super large deviations principles for Poisson process with uniform catastrophes
In this paper, we expand and generalize the findings presented in our previous work on the law of large numbers and the large deviation principle for Poisson processes with uniform catastrophes. We study three distinct scalings: sublinear (moderate deviations), linear (large deviations), and superlinear (superlarge deviations). Across these scales, we establish different yet coherent rate functions.
Logachov, A.
April 10, 2025
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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
Latest articles
Didactique et épistémologie des mathématiques et leurs interactions pour la médiation et l'enseignement supérieur
Ce texte introduit le premier des deux volumes qui font suite à la tenue de l’école thématique DEMIMES (Didactique et Épistémologie des Mathématiques et leurs Interactions pour la Médiation et l'Enseignement Supérieur) qui s’est tenue à Autrans (France) du 4 au 7 avril 2022.
Charlot, Grégoire
March 10, 2025
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Théorie des Situations Didactiques et situations de preuve : étude de deux exemples
Le cadre de la théorie des situations didactiques s’est construit dans des travaux « d’épistémologie expérimentale ». Il permet d’interroger les mathématiques et les situations d’apprentissage. Ce texte présentera les moyens mathématiques et expérimentaux issus de cette théorie pour penser une typologie de situations à usage didactique. Un focus sera fait en particulier sur les variables didactiques et les situations de preuve. Deux exemples permettront d’illustrer ces aspects. Issus des domaines de la théorie des jeux d'une part et de la théorie des nombres d'autre part, ils seront discutés et revisités : la Course à 20 et le problème de Frobenius.
Ouvrier-Buffet, Cécile
December 20, 2024
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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
Latest articles
Toric sheaves and flips
Any toric flip naturally induces an equivalence between the associated categories of equivariant reflexive sheaves, and we investigate how slope stability behaves through this functor. On one hand, for a fixed toric sheaf, and natural polarisations that make the exceptional loci small, we provide a simple numerical criterion that characterizes when slope stability is preserved through the flip. On the other hand, for a given flip, we introduce full subcategories of logarithmic toric sheaves and characterize when polystability is preserved for all toric sheaves in those subcategories at once.
Clarke, Andrew
April 23, 2025
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Pseudo-effectivity of the relative canonical divisor and uniruledness in positive characteristic
We show that if $f\colon X \to T$ is a surjective morphism between smooth projective varieties over an algebraically closed field $k$ of characteristic $p>0$ with geometrically integral and non-uniruled generic fiber, then $K_{X/T}$ is pseudo-effective. The proof is based on covering $X$ with rational curves, which gives a contradiction as soon as both the base and the generic fiber are not uniruled. However, we assume only that the generic fiber is not uniruled. Hence, the hardest part of the proof is to show that there is a finite smooth non-uniruled cover of the base for which we show the following: If $T$ is a smooth projective variety over $k$ and $\mathcal{A}$ is an ample enough line bundle, then a cyclic cover of degree $p \nmid d$ given by a general element of $\left|\mathcal{A}^d\right|$ is not uniruled. For this we show the following cohomological uniruledness condition, which might be of independent interest: A smooth projective variety $T$ of dimenion $n$ is not uniruled whenever the dimension of the semi-stable part of $H^n(T, \mathcal{O}_T)$ is greater than that of $H^{n-1}(T, \mathcal{O}_T)$. Additionally, we also show singular versions of all the above statements.
Patakfalvi, Zsolt
April 16, 2025
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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
Latest articles
Vanishing of Poincare series for congruence subgroups
We consider the problem of the vanishing of {P}oincar\'e series for congruence subgroups. Denoting by $P_{k,m,N}$ the {P}oincar\'e series of weight $k$ and index $m$ for the group $\Gamma_0(N)$, we show that for certain choices of parameters $k,m,N$, the {P}oincar\'e series does not vanish. Our methods improve on previous results of Rankin (1980) and Mozzochi (1989).
Kimmel, Noam
April 25, 2025
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A Well-Motivated Proof That Pi Is Irrational
Ivan Niven's succinct proof that pi is irrational is easy to verify, but it begins with a magical formula that appears to come out of nowhere, and whose origin remains mysterious even after one goes through the proof. The goal of this expository paper is to describe a thought process by which a mathematician might come up with the proof from scratch, without having to be a genius. Compared to previous expositions of Niven's proof, perhaps the main novelty in the present account is an explicit appeal to the theory of orthogonal polynomials, which leads naturally to the consideration of certain integrals whose relevance is otherwise not immediately obvious.
Chow, Timothy, Y
April 24, 2025
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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
Latest articles
Membership problems in nilpotent groups
We study both the Submonoid Membership problem and the Rational Subset Membership problem in finitely generated nilpotent groups. We give two reductions with important applications. First, Submonoid Membership in any nilpotent group can be reduced to Rational Subset Membership in smaller groups. As a corollary, we prove the existence of a group with decidable Submonoid Membership and undecidable Rational Subset Membership, confirming a conjecture of Lohrey and Steinberg. Second, the Rational Subset Membership problem in $H_3(\mathbb Z)$ can be reduced to the Knapsack problem in the same group, and is therefore decidable. Combining both results, we deduce that the filiform $3$-step nilpotent group has decidable Submonoid Membership.
Bodart, Corentin
April 25, 2025
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Conjugacy Class Growth in Virtually Abelian Groups
We study the conjugacy class growth function in finitely generated virtually abelian groups. That is, the number of elements in the ball of radius $n$ in the Cayley graph which intersect a fixed conjugacy class. In the class of virtually abelian groups, we prove that this function is always asymptotically equivalent to a polynomial. Furthermore, we show that in any affine Coxeter group, the degree of polynomial growth of a conjugacy class is equivalent to the reflection length of any element of that class.
Dermenjian, Aram
February 24, 2025
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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
Latest articles
Second-order conditions for spatio-temporally sparse optimal control via second subderivatives
We address second-order optimality conditions for optimal control problems involving sparsity functionals which induce spatio-temporal sparsity patterns. We employ the notion of (weak) second subderivatives. With this approach, we are able to reproduce the results from Casas, Herzog, and Wachsmuth (ESAIM COCV, 23, 2017, p. 263-295). Our analysis yields a slight improvement of one of these results and also opens the door for the sensitivity analysis of this class of problems.
Borchard, Nicolas
December 18, 2024
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A topological derivative-based algorithm to solve optimal control problems with $L^0(\Omega)$ control cost
In this paper, we consider optimization problems with $L^0$-cost of the controls. Here, we take the support of the control as independent optimization variable. Topological derivatives of the corresponding value function with respect to variations of the support are derived. These topological derivatives are used in a novel gradient descent algorithm with Armijo line-search. Under suitable assumptions, the algorithm produces a minimizing sequence.
Wachsmuth, Daniel
June 26, 2024
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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
Latest articles
Conditional symmetries and conditional constants of motion for dynamical systems
Conditional symmetries were introduced by Levi and Winternitz in their 1989 seminal paper to deal with nonlinear PDEs. Here we discuss their application in the framework of ODEs, and more specifically Dynamical Systems; it turns out they are closely related to two established -- albeit maybe less widely known -- concepts, i.e. orbital symmetries and configurational invariants. The paper is devoted to studying the interplay of these notions, and their application in the study of Dynamical Systems, with special attention to invariant manifolds of these.
Gaeta, Giuseppe
January 28, 2025
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The Volterra Integrable case. Novel analytical and numerical results
In the present paper we reconsider the integrable case of the Hamiltonian $N$-species Volterra system, as it has been introduced by Vito Volterra in 1937 and significantly enrich the results already published in the ArXiv in 2019 by two of the present authors (M. Scalia and O. Ragnisco). In fact, we present a new approach to the construction of conserved quantities and comment about the solutions of the equations of motion; we display mostly new analytical and numerical results, starting from the classical predator-prey model and arriving at the general $N$-species model
Scalia, M.
October 12, 2024
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Mathematics
RDM
[Recherches en didactique des mathématiques]
RDM
Recherches en didactique des mathématiques
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: Mariam Haspekian and Elisabetta Robotti
- 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
Latest articles
Une étude comparative de l'enseignement des équations quadratiques dans cinq curricula scolaires : le Brésil, la France, le Japon, l'Espagne et le Vietnam
Les études comparatives visent souvent à identifier et à expliquer les différences et les similitudes des phénomènes didactiques dans différents contextes scolaires. Dans le domaine de l'enseignement des mathématiques, des études comparatives ont été entreprises avec une variété d'objectifs, sur une diversité de sujets mathématiques et leurs résultats dépendent de l'approche théorique, des méthodes et des niveaux auxquels la comparaison est effectuée. Nous commençons par présenter les bases théoriques et méthodologiques issues de la théorie anthropologique du didactique (TAD), qui nous ont permis mener une étude comparative sur un thème mathématique spécifique dans le contexte de cinq systèmes éducatifs différents. Plus concrètement, cet article se centre sur la comparaison des curricula institutionnellement offerts par cinq pays (Brésil, France, Espagne, Japon et Vietnam) concernant la résolution algébrique d'équations quadratiques, à travers l'analyse des curricula et une sélection de manuels représentatifs. Nous cherchons à identifier les choix didactiques communs et alternatifs et les raisons possibles de ces choix, ainsi que l'ensemble des conditions et des contraintes mises en place dans les différents contextes scolaires lorsque cet objet de connaissance est prescrit pour être enseigné.
Chaachoua, Hamid
January 31, 2025
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Ressources pour revitaliser la recherche sur l’enseignement et l’apprentissage de la multiplication à l’école élémentaire
À partir des ressources documentaires disponibles dans le fond Guy Brousseau, nous étudions un ensemble de décisions pédagogiques conçues et testées pendant plusieurs années dans le cadre de la Théorie des Situations Didactiques dans une école primaire française. L’analyse et l'interprétation des productions relevées nous permettent de rendre visibles de nouveaux savoirs qui enrichissent l'activité du chercheur en didactique des mathématiques ainsi que celle du formateur d'enseignants. Initialement, la recherche était centrée sur la division, et au cours de cette trajectoire, nous avons abordé le processus d'invention d'une technique de construction d'un algorithme de multiplication.
Fregona, Dilma
January 31, 2025
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