74 citations · 409 across the 32 of their papers we have counts for
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Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index
Stéphane Balac, Monique Dauge, Zoïs Moitier
Whispering gallery modes [WGM] are resonant modes displaying special features: They concentrate along the boundary of the optical cavity at high polar frequencies and they are asso…
Asymptotic Lattices, Good Labellings, and the Rotation Number for Quantum Integrable Systems
Monique Dauge, Michael A. Hall, San Vu Ngoc
This article introduces the notion of good labellings for asymptotic lattices in order to study joint spectra of quantum integrable systems from the point of view of inverse spectr…
Dirichlet spectrum of the Fichera layer
Monique Dauge, Yvon Lafranche, Thomas Ourmières-Bonafos
We investigate the spectrum of the three-dimensional Dirichlet Laplacian in a prototypal infinite polyhedral layer, that is formed by three perpendicular quarter-plane walls of con…
Magnetic Laplacian in sharp three dimensional cones
Virginie Bonnaillie-Noël, Monique Dauge, Nicolas Popoff +1
The core result of this paper is an upper bound for the ground state energyof the magnetic Laplacian with constant magnetic field on cones that are contained in ahalf-space. This b…
Ground state energy of the magnetic Laplacian on corner domains
Virginie Bonnaillie-Noël, Monique Dauge, Nicolas Popoff
The asymptotic behavior of the first eigenvalues of magnetic Laplacian operators with large magnetic fields and Neumann realization in smooth three-dimensional domains is character…