M. Assal

activity

20162024

most citedClusters of resonances for a non-selfadjoint multichannel discrete Schrödinger operator

1 citations · 1 across the 8 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math-ph2022

Semiclassical resonance asymptotics for systems with degenerate crossings of classical trajectories

Marouane Assal, Setsuro Fujiié, Kenta Higuchi

This paper is concerned with the asymptotics of resonances in the semiclassical limit $h \to 0^{+}$ for $2 \times 2$ matrix Schrödinger operators in one dimension. We study the case wh…

math-ph2022★ 1 cited

Clusters of resonances for a non-selfadjoint multichannel discrete Schrödinger operator

Marouane Assal, Olivier Bourget, Pablo Miranda +1

We study the distribution of resonances for discrete Hamiltonians of the form $H_{0} + V$ near the thresholds of the spectrum of $H_{0}$ . Here, the unperturbed operator $H_{0}$ is a multic…

math.AP2022

Metastable diffusions with degenerate drifts

Marouane Assal, Jean-Francois Bony, Laurent Michel

We study the spectrum of the semiclassical Witten Laplacian $Δ_{f}$ associated to a smooth function $f$ on $R^{d}$ . We assume that $f$ is a confining Morse--Bott function.…