3 papers
math.RT2020
On some subspaces of the exterior algebra of a simple Lie algebra
Jean-Yves Charbonnel
In this article, we are interested in some subspaces of the exterior algebra of a simple Lie algebra g. In particular, we prove that some graded subspaces of degree d generate the…
math.DS2020
Denjoy sub-systems and horseshoes
Marie-Claude Arnaud
We introduce a notion of weak Denjoy subsystem (WDS) that generalizes the Aubry-Mather Cantor sets to diffeomorphisms of manifolds. We explain how a rotation number can be associat…
math-ph2019
WKB asymptotics of meromorphic solutions of difference equations
Alexander Fedotov, Frédéric Klopp
We consider the difference Schr{\''o}dinger equation where is a complex variable and is a small positive parameter. If is an analytic functi…