28 citations · 50 across the 24 of their papers we have counts for
29 papers
Semiclassical Schrödinger operators with purely imaginary potential
Victor Arnaiz, Jean-Francois Bony, Laurent Michel
We consider Schrödinger operators with purely imaginary potential on a bounded domain. Assuming that near its critical points the potential can be ap…
Counter-examples to the fractal Weyl law for semiclassical resonances
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
Under general assumptions, the numbers of semiclassical resonances is known to be bounded from above by a negative power of which is given by the fractal dimension of the trapp…
Real diffusion with complex spectral gap
Jean-Francois Bony, Laurent Michel
The low-lying eigenvalues of the generator of a Langevin process are known to satisfy the Eyring-Kramers law in the low temperature regime under suitable assumptions. These eigenva…
Metastable diffusions with degenerate drifts
Marouane Assal, Jean-Francois Bony, Laurent Michel
We study the spectrum of the semiclassical Witten Laplacian associated to a smooth function on . We assume that is a confining Morse--Bott function.…
Eyring-Kramers law for Fokker-Planck type differential operators
Jean-Francois Bony, Dorian Le Peutrec, Laurent Michel
We consider Fokker-Planck type differential operators associated with general Langevin processes admitting a Gibbs stationary distribution. Under assumptions insuring suitable reso…
An example of resonance instability
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
We construct a semiclassical Schrödinger operator such that the imaginary part of its resonances closest to the real axis changes by a term of size when a real compactly suppor…