Recently, EMS has initiated the instalment of the EMS Young Academy (European Mathematical Young Academy – EMYA). In this column we present the story behind the establishment of EMYA – presented by Beatrice Pelloni (vice-president of the EMS) and Volker Mehrmann (former president of the EMS) in Section 1, and the current state of EMYA – presented by Róisín Neururer (chair) and Irene De Blasi (co-chair) in Section 2.
The evolution of a gas can be described by different mathematical models depending on the scale of observation. A natural question, raised by Hilbert in his sixth problem, is whether these models provide mutually consistent predictions. In particular, for rarefied gases, it is expected that the equations of the kinetic theory of gases can be obtained from molecular dynamics governed by the fundamental principles of mechanics. In the case of hard sphere gases, Lanford (1975) has shown that the Boltzmann equation does indeed appear as a law of large numbers in the low density limit, at least for very short times. The aim of this paper is to present recent advances in the understanding of this limiting process.
The transition towards an Open Data Platform enabled zbMATH Open to build a network of open resources. Important components in the evolving information system are mathematical research data, which are of quite heterogeneous nature. For their interlinking, zbMATH Open provides Application Programming Interface (API) solutions to offer mathematical research data to the community. Among other APIs recently implemented at zbMATH Open, the so-called Links API is aimed to document interconnections between our database and external platforms which display mathematical literature indexed at zbMATH Open. The Digital Library of Mathematical Functions (DLMF) has been our first partner and their data have been integrated in our database in 2021. Recently we interlinked with the second platform, the Online Encyclopedia of Integer Sequences (OEIS), a renowned digital database of number sequences that cites a lot of mathematical literature, especially from number theory and graph theory. The purpose of this short contribution is to announce and discuss the links to OEIS data in zbMATH Open.
The recent frantic surge of machine learning and, more broadly, of artificial intelligence (AI) brings to light old and new open issues, and among them, the so-called eXplainable artificial intelligence (XAI) – AI that humans can understand – as opposed to black-box learning systems where even their designers cannot explain AI decisions. One of the major XAI questions is how to design transparent learning systems that incorporate prior knowledge. These topics are becoming more relevant and pervasive as AI systems become more unfathomable and entangled with human factors. Recently a new paradigm for XAI has been introduced in literature, based on group equivariant non-expansive operators (GENEOs), which are able to inject prior knowledge in a learning system. Hence, the use of GENEOs dramatically reduces the number of unknown parameters to be identified and the size of the related training set, providing both computational advantages and an increased degree of interpretability of the results. Here we will illustrate the main characteristics of GENEOs and the encouraging results already obtained on a couple of industrial case studies.
I first met Gene in Fall 1962, when I was a grad student at the Courant Institute of Mathematics at New York University.A group of us, mainly students of Lipman Bers, often met on Fridays for lunch with Bers: "Children's Lunch."Gene was visiting New York and had dropped in to visit Bers.He was directed to the restaurant.He overflowed with mathematics, a pleasure to
Francis William Lawvere was one of the most influential figures in the late 20th century and up till now, because of his drive to unify and simplify mathematics, by sharpening the tools of category theory. The following is an attempt of describing some of the milestones and visions in this process.
(Andrei Jaikin-Zapirain, Departamento de Matemáticas, Universidad Autónoma de Madrid & Instituto de Ciencias Matemáticas, CSIC-UAM-UC3M-UCM, Spain, and Dmitri Piontkovski, Faculty of Economic Sciences, Moscow Higher School of Economics, Russia) 230. We are trying to hang a picture on a wall. The picture has a piece of string attached to it forming a loop, and there are 3 nails in the wall that we can wrap the string around. We want to hang the picture so that it does not fall down, but it will upon removal of any of the 3 nails.
of Granada is an international center for research and advanced training in mathematics, where mathematicians from several countries collaborate on common strategic areas in theoretical and applied mathematics, with emphasis on differential geometry, functional analysis, differential equations and modeling, statistics, and operational research.The institute stands for excellence in research, has been quite successful in fundraising, and has become one of the main centers of mathematical research in Spain. Structure, objectives, and facilitiesIMAG is the acronym for the Institute of Mathematics of the University of Granada (UGR).The institute was officially created in May 2015, although its activities started in 2013 as one of the four venues of the Spanish Institute of Mathematics (IEMath), a competitive national project today discontinued.The fundamental mission of IMAG is to carry out scientific research and specialized training in all areas of mathematics.This mission is developed by accomplishing actions of different nature: 1. Supporting external researchers that collaborate with members of the institute.2. Holding research seminars and conferences of international importance.3. Carrying out Master and PhD programs in mathematics.4. Organizing strategic events aimed at bringing mathematics and society together (outreach, gender activities, etc.).
