91 citations · 177 across the 14 of their papers we have counts for
14 papers
Local analytic regularity in the linearized Calderón problem
Johannes Sjoestrand, Gunther Uhlmann
We consider the linearization of the Dirichlet-to-Neumann (DN) map as a function of the potential. We show that it is injective at a real analytic potential for measurements made a…
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…
From open quantum systems to open quantum maps
Stéphane Nonnenmacher, Johannes Sjoestrand, Maciej Zworski
For a class of quantized open chaotic systems satisfying a natural dynamical assumption, we show that the study of the resolvent, and hence of scattering and resonances, can be red…
Upper bound on the density of Ruelle resonances for Anosov flows
Frédéric Faure, Johannes Sjoestrand
Using a semiclassical approach we show that the spectrum of a smooth Anosov vector field V on a compact manifold is discrete (in suitable anisotropic Sobolev spaces) and then we pr…
Counting zeros of holomorphic functions of exponential growth
Johannes Sjoestrand
We consider the number of zeros of holomorphic functions in a bounded domain that depend on a small parameter and satisfy an exponential upper bound near the boundary of the domain…
Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances
Frederic Faure, Nicolas Roy, Johannes Sjoestrand
In this paper, we show that some spectral properties of Anosov diffeomorphisms can be obtained by semi-classical analysis. In particular the Ruelle resonances which are eigenvalues…