The c-Entropy optimality of Donoghue classes

Sergey Belyi; Konstantin Makarov; Eduard Tsekanovskii

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arXiv · 2412.19895

The c-Entropy optimality of Donoghue classes

Sergey Belyi·Konstantin Makarov·Eduard Tsekanovskii

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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.

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BibTeX RIS

Sergey Belyi, Konstantin Makarov, Eduard Tsekanovskii. 2024-12-27. The c-Entropy optimality of Donoghue classes. https://arxiv.org/abs/2412.19895

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