English

L-systems with Multiplication Operator and c-Entropy

Spectral Theory 2025-10-17 v1

Abstract

In this note, we utilize the concepts of c-entropy and the dissipation coefficient in connection with canonical L-systems based on the multiplication (by a scalar) operator. Additionally, we examine the coupling of such L-systems and derive explicit formulas for the associated c-entropy and dissipation coefficient. In this context, we also introduce the concept of a skew-adjoint L-system and analyze its coupling with the original L-system.

Keywords

Cite

@article{arxiv.2504.12974,
  title  = {L-systems with Multiplication Operator and c-Entropy},
  author = {Sergey Belyi and Konstantin Makarov and Eduard Tsekanovskii},
  journal= {arXiv preprint arXiv:2504.12974},
  year   = {2025}
}

Comments

20 pages, 2 figures, 2 tables

R2 v1 2026-06-28T23:02:07.139Z