output
19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

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102 papers · 1 filter

math.AP2026

Asymptotic expansion of the voltage potential under small Robin perturbations of its boundary conditions

Eric Bonnetier, Charles Dapogny, Roman Moskalenko

Inspired by questions related to inverse problems and shape optimization, we derive an asymptotic expansion of the voltage potential, solution to a model elliptic second-order part…

math.AP2025

On the {} norms of spectral projectors on shrinking intervals: the cases of some spheres of revolution and of the Euclidean disk

Ambre Chabert, Yves Colin de Verdìère

Given a compact Riemannian surface , with Laplace-Beltrami operator , for , let be the spectral projector on the bandwidth $[λ-λ^{-\frac{1}{3}}…

math.AP2025

On the dynamics of leapfrogging vortex rings

Martin Donati, Lars Eric Hientzsch, Christophe Lacave +1

The evolution of highly concentrated vorticity around rings in the three-dimensional axisymmetric Euler equations is studied in a regime for which the leapfrogging dynamics predict…

math.AP2024

Classical and Quantum mechanics on 3D contact manifolds

Yves Colin de Verdìère

In this survey paper, I describe some aspects of the dynamics and the spectral theory of sub-Riemannian3D contact manifolds. We use Toeplitz quantization of the characteristic cone…

math.AP2024

Networks of sign-changing metamaterials: existence and spectral properties

Kaïs Ammari, Eric Bonnetier, Alessandro Duca

We study composite assemblages of dielectrics and metamaterials with respectively positive and negative material parameters. In the continuum case, for a scalar equation, such medi…

math.AP2024

The long way of a viscous vortex dipole

Michele Dolce, Thierry Gallay

We consider the evolution of a viscous vortex dipole in originating from a pair of point vortices with opposite circulations. At high Reynolds number , the dipole ca…