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<p>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.</p>

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L-systems with Multiplication Operator and c-Entropy

  • 期刊论文

  • 发表日期：

    2025年9月7日

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  • S. Belyi,
  • K. A. Makarov,
  • E. Tsekanovskii

摘要

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.