34 citations · 118 across the 30 of their papers we have counts for
16 papers · 1 filter
Weyl laws for exponentially small singular values of the operator
Michael Hitrik, Johannes Sjöstrand, Martin Vogel
We study the number of exponentially small singular values of the semiclassical operator on exponentially weighted spaces on a compact Riemann surface.…
Rational invariant tori and band edge spectra for non-selfadjoint operators
Michael Hitrik, Johannes Sjoestrand
We study semiclassical asymptotics for spectra of non-selfadjoint perturbations of selfadjoint analytic -pseudodifferential operators in dimension 2, assuming that the classical…
Spectra for semiclassical operators with periodic bicharacteristics in dimension two
Michael A. Hall, Michael Hitrik, Johannes Sjoestrand
We study the distribution of eigenvalues for selfadjoint --pseudodifferential operators in dimension two, arising as perturbations of selfadjoint operators with a periodic class…
Resolvent estimates for elliptic quadratic differential operators
Michael Hitrik, Johannes Sjoestrand, Joe Viola
Sharp resolvent bounds for non-selfadjoint semiclassical elliptic quadratic differential operators are established, in the interior of the range of the associated quadratic symbol.
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 and symmetries for Kramers Fokker-Planck type operators
Frederic Herau, Michael Hitrik, Johannes Sjoestrand
We study operators of Kramers-Fokker-Planck type in the semiclassical limit, assuming that the exponent of the associated Maxwellian is a Morse function with a finite number …