A. Stepanenko

activity

19932021

most citedOn Calculation of $2+\veps$ RG Functions in the Gross Neveu Model from Large

N

Expansions of Critical Exponents

43 citations · 76 across the 8 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.SP2020

Bounds for Schrödinger operators on the half-line perturbed by dissipative barriers

Alexei Stepanenko

We consider Schrödinger operators of the form $H_{R} = - d^{2} / d x^{2} + q + iγ χ_{[0, R]}$ for large $R > 0$ , where $q \in L^{1} (0, \infty)$ and $γ > 0$ . Bounds for the maximum magnitude of a…

math.SP2020★ 3 cited

Spectral Inclusion and Pollution for a Class of Dissipative Perturbations

Alexei Stepanenko

Spectral inclusion and spectral pollution results are proved for sequences of linear operators of the form $T_{0} + iγ s_{n}$ on a Hilbert space, where $s_{n}$ is strongly convergent to…