Martin Leguil

activity

20152026

most citedAsymptotics of spectral gaps of quasi-periodic Schrödinger operators

32 citations · 62 across the 20 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.DS2016★ 2 cited

Exponential decay of the size of spectral gaps for quasiperiodic Schrödinger operators

Martin Leguil

In the following we are interested in the spectral gaps of discrete quasiperiodic Schrödinger operators when the frequency is Diophantine, the potential is analytic, and in the sub…

math.DS2016

Dynamics of a family of polynomial automorphisms of $C^{3}$ , a phase transition

Julie Déserti, Martin Leguil

The polynomial automorphisms of the affine plane have been studied a lot: if $f$ is such an automorphism, then either $f$ preserves a rational fibration, has an uncountable central…

math.DS2016

Weak mixing properties of interval exchange transformations and translation flows

Artur Avila, Martin Leguil

Let $d > 1$ . In this paper we show that for an irreducible permutation $π$ which is not a rotation, the set of $[λ] \in P_{+}^{d - 1}$ such that the interval exchange transforma…

Exponential decay of the size of spectral gaps for quasiperiodic Schrödinger operators

Dynamics of a family of polynomial automorphisms of C3, a phase transition

Weak mixing properties of interval exchange transformations and translation flows

Dynamics of a family of polynomial automorphisms of $C^{3}$ , a phase transition