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math.SP2026
Resolvent bounds and eigenvalue estimates of generalized Schrödinger operators with complex potentials on compact manifolds
Eduard Stefanescu
We extend Cuenin's compact-manifold spectral bounds for Schrödinger operators with complex potentials to a general pseudodifferential setting. More precisely, we study operators \(…
math.SP2026
Random Schrödinger operators on manifolds and abstract bounds for multiplier-type operators
Jean-Claude Cuenin, Konstantin Merz, Eduard Stefanescu
We study random Schrödinger operators on closed Riemannian manifolds with Anderson-type potentials. We prove high-probability spectral inclusion bounds showing that eigenvalues rem…
math.SP2026
Eigenvalue bounds for non-self-adjoint Schrödinger operators and pseudodifferential generalizations
Eduard Stefanescu
This is mostly a survey paper, where we collect results concerning the spectral bounds of deterministic and random Schrödinger operators with complex potentials, both on \(\mathbb{…