4 citations · 5 across the 3 of their papers we have counts for
6 papers
A direct approach to the analytic Bergman projection
Alix Deleporte, Michael Hitrik, Johannes Sjoestrand
We develop a direct approach to the semiclassical asymptotics for Bergman projections in exponentially weighted spaces of holomorphic functions, with real analytic strictly plurisu…
Uniform spectral asymptotics for semiclassical wells on phase space loops
Alix Deleporte, San Vũ Ng\d{o}c
We consider semiclassical self-adjoint operators whose symbol, defined on a two-dimensional symplectic manifold, reaches a non-degenerate minimum on a closed curve. We derive…
Fractional exponential decay in the forbidden region for Toeplitz operators
Alix Deleporte
We prove several results of concentration for eigenfunctions in Toeplitz quantization. With mild assumptions on the regularity, we prove that eigenfunctions are awa…
The Bergman kernel in constant curvature
Alix Deleporte
We present an elementary proof for an approximate expression of the Bergman kernel on homogeneous spaces, and products of them. The error term is exponentially small with respect t…
Toeplitz operators with analytic symbols
Alix Deleporte
We provide asymptotic formulas for the Bergman projector and Berezin-Toeplitz operators on a compact K{ä}hler manifold. These objects depend on an integer N and we study, in the li…
Quantum selection for spin systems
Alix Deleporte
We report mathematical results on the process by which quantum order by disorder takes place for spin systems. The selection rules follow the influence of several competing contrib…