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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

Minkowski's successive minima in convex and discrete geometry

In this short survey we want to present some of the impact of Minkowski's successive minima within Convex and Discrete Geometry. Originally related to the volume of an $o$-symmetric convex body, we point out relations of the successive minima to other functionals, as e.g., the lattice point enumerator or the intrinsic volumes and we present some old and new conjectures about them. Additionally, we discuss an application of successive minima to a version of Siegel's lemma.
Aliev, Iskander
May 18, 2023
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On triviality of uniform Diophantine exponents of lattices

In this paper we prove that uniform Diophantine exponents of lattices attain only trivial values.
German, Oleg N.
May 12, 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: pending
  • Editors-in-chief: Nicolas Grenier-Boley ; Hussein Sabra
  • Medium: electronic
  • Frequency: biannual
  • Date created: 2019
  • Date of publication on Episciences: 2019
  • eISSN: pending
  • 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

Analyzing today geometry on architectural heritage between mathematics and representation to define architect's background

Nous présentons et analysons un exemple d'activité visant à initier au langage graphique codé des étudiants de première année de licence en architecture. Notre exemple concerne la représentation 2D d'un objet architectural, une compétence essentielle dans le métier d'architecte, et traite spécifiquement des systèmes de couverture constitués de voûtes générées par des cylindres et par leurs intersections. Il s'agit d'une première tentative de créer des activités qui impliquent tous les élèves, quels que soient leurs différents niveaux de compréhension géométrique et de familiarité avec le langage graphique ; en particulier, l'exemple présenté exploite l'introduction de modèles physiques ou virtuels pour soutenir la pensée mathématique des élèves dans la réalisation de la tâche et se déroule pendant le temps normal de cours, sans modifier ni ajouter le contenu mathématique établi dans les programmes d'études. La littérature de recherche sur la modélisation mathématique, en particulier celle dite prescriptive, nous fournit les outils pour cadrer et mettre en œuvre notre étude; il permet également de présenter la modélisation mathématique comme un objectif dans un contexte éducatif extra-mathématique.
Cumino, Caterina
April 05, 2023
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Students using programming for pure and applied mathematics investigations

Dans cet article, nous présentons notre recherche sur les étudiants de premier cycle en mathématiques apprenant à utiliser la programmation pour des projets d'investigation en mathématiques. Plus précisément, nous nous concentrons sur la façon dont une certaine perspective théorique (l'Approche instrumentale) nous aide à mieux comprendre cette activité de l’étudiant. S’appuyant sur des données des expériences d’étudiants et d’instructeurs dans une séquence de cours (offerts depuis 2001), nos résultats décrivent comment l'activité de l’étudiant est organisée (par le biais de «façons de faire» stables), et met en évidence la complexité de cette activité (comme un réseau entrelacé de « manières de faire » impliquant une combinaison de compétences en mathématiques et en programmation). Nous terminons par quelques recommandations concrètes pour les instructeurs.
Buteau, Chantal
March 30, 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

Affine Subspace Concentration Conditions

We define a new notion of affine subspace concentration conditions for lattice polytopes, and prove that they hold for smooth and reflexive polytopes with barycenter at the origin. Our proof involves considering the slope stability of the canonical extension of the tangent bundle by the trivial line bundle and with the extension class $c_1(\mathcal{T}_X)$ on Fano toric varieties.
Wu, Kuang-Yu
May 23, 2023
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Curve counting and S-duality

We work on a projective threefold $X$ which satisfies the Bogomolov-Gieseker conjecture of Bayer-Macr\`i-Toda, such as $\mathbb P^3$ or the quintic threefold. We prove certain moduli spaces of 2-dimensional torsion sheaves on $X$ are smooth bundles over Hilbert schemes of ideal sheaves of curves and points in $X$. When $X$ is Calabi-Yau this gives a simple wall crossing formula expressing curve counts (and so ultimately Gromov-Witten invariants) in terms of counts of D4-D2-D0 branes. These latter invariants are predicted to have modular properties which we discuss from the point of view of S-duality and Noether-Lefschetz theory.
Feyzbakhsh, Soheyla
May 12, 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

Multi-recipient and threshold encryption based on hidden multipliers

Let $S$ be a pool of $s$ parties and Alice be the dealer. In this paper, we propose a scheme that allows the dealer to encrypt messages in such a way that only one authorized coalition of parties (which the dealer chooses depending on the message) can decrypt. At the setup stage, each of the parties involved in the process receives an individual key from the dealer. To decrypt information, an authorized coalition of parties must work together to use their keys. Based on this scheme, we propose a threshold encryption scheme. For a given message $f$ the dealer can choose any threshold $m = m(f).$ More precisely, any set of parties of size at least $m$ can evaluate $f$; any set of size less than $m$ cannot do this. Similarly, the distribution of keys among the included parties can be done in such a way that authorized coalitions of parties will be given the opportunity to put a collective digital signature on any documents. This primitive can be generalized to the dynamic setting, where any user can dynamically join the pool $S$. In this case the new user receives a key from the dealer. Also any user can leave the pool $S$. In both cases, already distributed keys of other users do not change. The main feature of the proposed schemes is that for a given $s$ the keys are distributed once and can be used multiple times. The proposed scheme is based on the idea of hidden multipliers in encryption. As a platform, one can use both multiplicative groups of finite fields and groups of invertible elements of commutative rings, in particular, multiplicative groups of residue rings. We propose two versions of this scheme.
Roman'kov, Vitaly
March 21, 2023
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Geodesic Growth of Numbered Graph Products

In this paper, we study geodesic growth of numbered graph products; these are a generalization of right-angled Coxeter groups, defined as graph products of finite cyclic groups. We first define a graph-theoretic condition called link-regularity, as well as a natural equivalence amongst link-regular numbered graphs, and show that numbered graph products associated to link-regular numbered graphs must have the same geodesic growth series. Next, we derive a formula for the geodesic growth of right-angled Coxeter groups associated to link-regular graphs. Finally, we find a system of equations that can be used to solve for the geodesic growth of numbered graph products corresponding to link-regular numbered graphs that contain no triangles and have constant vertex numbering.
Marjanski, Lindsay
February 04, 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

Second-order conditions for non-uniformly convex integrands: quadratic growth in $L^1$

We study no-gap second-order optimality conditions for a non-uniformly convex and non-smooth integral functional. The integral functional is extended to the space of measures. The obtained second-order derivatives contain integrals on lower-dimensional manifolds. The proofs utilize the convex pre-conjugate, which is an integral functional on the space of continuous functions. Applications to non-smooth optimal control problems are given.
Wachsmuth, Daniel
May 23, 2022
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Analysis of the implicit Euler time-discretization of passive linear descriptor complementarity systems

This article is largely concerned with the time-discretization of descriptor-variable systems coupled to with complementarity constraints. They are named descriptor-variable linear complementarity systems (DVLCS). More speci cally passive DVLCS with minimal state space representation are studied. The Euler implicit discretization of DVLCS is analysed: the one-step non-smooth problem (OSNSP), that is a generalized equation, is shown to be well-posed under some conditions. Then the convergence of the discretized solutions is studied. Several examples illustrate the applicability and the limitations of the developments.
Brogliato, Bernard
May 12, 2022
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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
  • Contact: ocnmp AT episciences.org
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Latest articles

The solutions of classical and nonlocal nonlinear Schrödinger equations with nonzero backgrounds: Bilinearisation and reduction approach

In this paper we develop a bilinearisation-reduction approach to derive solutions to the classical and nonlocal nonlinear Schr\"{o}dinger (NLS) equations with nonzero backgrounds. We start from the second order Ablowitz-Kaup-Newell-Segur coupled equations as an unreduced system. With a pair of solutions $(q_0,r_0)$ we bilinearize the unreduced system and obtain solutions in terms of quasi double Wronskians. Then we implement reductions by introducing constraints on the column vectors of the Wronskians and finally obtain solutions to the reduced equations, including the classical NLS equation and the nonlocal NLS equations with reverse-space, reverse-time and reverse-space-time, respectively. With a set of plane wave solution $(q_0,r_0)$ as a background solution, we present explicit formulae for these column vectors. As examples, we analyze and illustrate solutions to the focusing NLS equation and the reverse-space nonlocal NLS equation. In particular, we present formulae for the rouge waves of arbitrary order for the focusing NLS equation.
Zhang, Da-jun
February 06, 2023
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Full-deautonomisation of a class of second-order mappings in ancillary form

We present an application of the full-deautonomisation method to a class of secondorder mappings which, using an ancillary variable, can be cast into a form that greatly facilitates the study of their singularities. The ancillary approach was originally introduced to make it possible to construct discrete Painlevé equations associated with the affine Weyl group E (1) 8 by deautonomising a QRT mapping. The full-deautonomisation method has been shown to offer a practical technique for calculating the exact dynamical degree of a mapping, whereby allowing the detection of discrete integrability using only singularity analysis. We study the confinement property for a given singularity, for a wide class of mappings that includes the autonomous limit of the standard additive Painlevé equation with E (1) 8 symmetry. This leads to a class of non-autonomous mappings, which can be integrable or not, for which we obtain their exact dynamical degrees. The case of a non-confining singularity is also analysed and again we obtain the corresponding dynamical degrees.
Grammaticos, Basil
January 19, 2023
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