The c-Entropy optimality of Donoghue classes
Spectral Theory
2024-12-31 v1 Mathematical Physics
math.MP
Abstract
In this note we evaluate c-Entropy of perturbed L-systems introduced in [5]. Explicit formulas relating the c-Entropy of the L-systems and the perturbation parameter are established. We also show that c-Entropy attains its maximum value (finite or infinite) whenever the perturbation parameter vanishes so that the impedance function of such a L-system belongs to one of the generalized (or regular) Donoghue classes.
Keywords
Cite
@article{arxiv.2412.19895,
title = {The c-Entropy optimality of Donoghue classes},
author = {Sergey Belyi and Konstantin Makarov and Eduard Tsekanovskii},
journal= {arXiv preprint arXiv:2412.19895},
year = {2024}
}
Comments
25 pages, 7 figures, 2 tables. arXiv admin note: text overlap with arXiv:1806.06329