91 citations · 177 across the 14 of their papers we have counts for
7 papers · 1 filter
Diophantine tori and Weyl laws for non-selfadjoint operators in dimension two
Michael Hitrik, Johannes Sjoestrand
We study the distribution of eigenvalues for non-selfadjoint perturbations of selfadjoint semiclassical analytic pseudodifferential operators in dimension two, assuming that the cl…
Tunnel effect for Kramers-Fokker-Planck type operators
Frederic Herau, Michael Hitrik, Johannes Sjoestrand
We consider operators of Kramers-Fokker-Planck type in the semi-classical limit such that the exponent of the associated Maxwellian is a Morse function with two local minima and a…
Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators
Mildred Hager, Johannes Sjoestrand
We consider quite general -pseudodifferential operators on with small random perturbations and show that in the limit of small the eigenvalues are distributed accordin…
Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions IIIa. One branching point
M. Hitrik, J. Sjoestrand
This is the third in a series of works devoted to spectral asymptotics for non-selfadjoint perturbations of selfadjoint -pseudodifferential operators in dimension 2. We assume t…
Diophantine tori and spectral asymptotics for non-selfadjoint operators
Michael Hitrik, Johannes Sjoestrand, San Vu Ngoc
We study spectral asymptotics for small non-selfadjoint perturbations of selfadjoint -pseudodifferential operators in dimension 2, assuming that the classical flow of the unpert…
Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions II. Vanishing Averages
Michael Hitrik, Johannes Sjoestrand
This is the second in a series of works devoted to small non-selfadjoint perturbations of selfadjoint semiclassical pseudodifferential operators in dimension 2. As in our previous…