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32 papers · 1 filter
A variational proof of global stability for bistable travelling waves
Thierry Gallay, Emmanuel Risler
We give a variational proof of global stability for bistable travelling waves of scalar reaction-diffusion equations on the real line. In particular, we recover some of the classic…
Mesures de Mahler et équidistribution logarithmique
Antoine Chambert-Loir, Amaury Thuillier
Let X be a projective integral normal scheme over a number field F; let L be a ample line bundle on X together with a semi-positive adelic metric in the sense of Zhang. The main re…
On the spectrum of magnetic Dirac operators with Coulomb-type perturbations
Serge Richard, Rafael Tiedra de Aldecoa
We carry out the spectral analysis of singular matrix valued perturbations of 3-dimensional Dirac operators with variable magnetic field of constant direction. Under suitable assum…
Hyperbolic Carathéodory conjecture
Valentin Ovsienko, Serge Tabachnikov
A quadratic point on a surface in is a point at which the surface can be approximated by a quadric abnormally well (up to order 3). We conjecture that the least number of qu…
On the quiver Grassmannian in the acyclic case
Philippe Caldero, Markus Reineke
Let A be the path algebra of a quiver Q with no oriented cycle. We study geometric properties of the Grassmannians of submodules of a given A-module M. In particular, we obtain som…
Differential operators on supercircle: conformally equivariant quantization and symbol calculus
Hichem Gargoubi, Najla Mellouli, Valentin Ovsienko
We consider the supercircle equipped with the standard contact structure. The conformal Lie superalgebra K(1) acts on as the Lie superalgebra of contact vector…