258 citations
- Laboratoire Angevin de Recherche en MathématiquesFR198 papers
- Centre National de la Recherche ScientifiqueFR127 papers
- Institut des Sciences et Technologies Moléculaires d'AngersFR31 papers
- Sorbonne UniversitéFR17 papers
- Wrocław University of Science and TechnologyPL17 papers
- Institut de Mathématiques de ToulouseFR13 papers
- Institute for Theoretical and Experimental PhysicsRU12 papers
- Université Paris-SaclayFR12 papers
- Université Toulouse III - Paul SabatierFR12 papers
- Horia Hulubei National Institute for R and D in Physics and Nuclear EngineeringRO10 papers
- Institut d'électronique de microélectronique et de nanotechnologieFR10 papers
- Université Nantes Angers Le MansFR10 papers
32 papers · 1 filter
Abrupt changes in the spectra of the Laplacian with constant complex magnetic field
David Krejcirik, Tho Nguyen Duc, Nicolas Raymond
We analyze the spectrum of the Laplace operator, subject to homogeneous complex magnetic fields in the plane. For real magnetic fields, it is well-known that the spectrum consists…
A Survey on Recent Advances in Self-Organizing Maps
Axel Guérin, Pierre Chauvet, Frédéric Saubion
Self-organising maps are a powerful tool for cluster analysis in a wide range of data contexts. From the pioneer work of Kohonen, many variants and improvements have been proposed.…
Seminormal toric varieties
François Bernard, Antoine Boivin
In this paper, we provide a combinatorial description of seminormal toric varieties. The corresponding combinatorial object is a fan equipped with a collection of groups assigned t…
A family of Fourier transform's eigenfunctions
Rodolphe Garbit, Julien-Bilal Zinoune
This paper presents a family of Fourier eigenfunctions indexed by the space dimension d. These eigenfunctions are radial and built upon some generalized exponential integral functi…
A description of and an upper bound on the set of bad primes in the study of the Casas-Alvero Conjecture
Daniel Schaub, Mark Spivakovsky
The Casas--Alvero conjecture predicts that every univariate polynomial over a field of characteristic zero having a common factor with each of its derivatives is a power o…
Transmission of mobility via cooperative mechanisms in soft active matter
Victor Teboul
When supercooled, liquids viscosity increases dramatically as the glass transition temperature is approached. While the physical origin of this behavior is still not understood, it…