3 papers
math.SP2026
Non-Elliptic Quadratic -Symmetric Operators and Similarity to Self-Adjoint Operators
Stepan Malkov
We prove a similarity result for non-self-adjoint non-elliptic quadratic -symmetric operators with real spectrum satisfying a dynamical averaging condition. In partic…
math.SP2026
Harmonic Approximation and Resolvent Estimates for Semiclassical Non-Self-Adjoint Operators
Stepan Malkov
We study resolvent estimates and bounds on the low lying spectrum for a broad class of non-self-adjoint non-elliptic -pseudodifferential operators with critical points. Imposing…
physics.flu-dyn2023
Anderson localization of walking droplets
Abel J. Abraham, Stepan Malkov, Frane A. Ljubetic +2
Understanding the ability of particles to maneuver through disordered environments is a central problem in innumerable settings, from active matter and biology to electronics. Macr…