Alexei Stepanenko

PhD student in mathematical analysis

Welcome to my personal website! I am a PhD student at Cardiff university school of mathematics, supervised by Jonathan Ben-Artzi and Marco Marletta.

E-mail: stepanenkoa@cardiff.ac.uk

Address:
School of Mathematics
Cardiff University
Senghennydd Road
Cardiff CF24 4AG
United Kingdom

Research Interests

Publications and preprints

  1. Computing eigenvalues of the Laplacian on rough domains,
    F. Rösler, A. Stepanenko, Preprint (2021)
  2. Bounds for Schrödinger operators on the half-line perturbed by dissipative barriers,
    A. Stepanenko arXiv:2010.05663 (2020)
  3. Spectral inclusion and pollution for a class of dissipative perturbations,
    A. Stepanenko, arXiv:2006.10097 Journal of Mathematical Physics 62, 013501 (2021)

Additional resources

Slides for Cardiff analysis seminar October 2020.

Image Gallery

Images from past and current research.

Schr&oumldinger operator perturbed by dissipative barrier 1: no background potential Schr&oumldinger operator perturbed by dissipative barrier 2: decaying background potential Schr&oumldinger operator perturbed by dissipative barrier 3: periodic background potential
Enclosures for the limiting essential spectrum Counting zeros of analytic functions in the upper half plane
Bifurcation diagram for the Poincaré section of a damped, driven Duffing oscillator 1 Bifurcation diagram for the Poincaré section of a damped, driven Duffing oscillator 2