21 citations · 102 across the 28 of their papers we have counts for
3 papers · 1 filter
Conformal invariants from nodal sets II. Manifolds with boundary
Graham Cox, Dmitry Jakobson, Mikhail Karpukhin +1
In this paper, we study conformal invariants that arise from nodal sets and negative eigenvalues of conformally covariant operators on manifolds with boundary. We also consider app…
The semiclassical theory of discontinuous systems and ray-splitting billiards
Dmitry Jakobson, Yuri Safarov, Alexander Strohmaier +1
We analyze the semiclassical limit of spectral theory on manifolds whose metrics have jump-like discontinuities. Such systems are quite different from manifolds with smooth Riemann…
Uniform estimates for the solutions of the Schrödinger equation on the torus and regularity of semiclassical measures
Tayeb Aïssiou, Dmitry Jakobson, Fabricio Macià
We establish uniform bounds for the solutions of the Schrödinger equation on arithmetic flat tori, generalising earlier results by J. Bourgain. We also study the regular…