L-systems with Multiplication Operator and c-Entropy
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917019178237952 |
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| author | Belyi, Sergey Makarov, Konstantin Tsekanovskii, Eduard |
| author_facet | Belyi, Sergey Makarov, Konstantin Tsekanovskii, Eduard |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_12974 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | L-systems with Multiplication Operator and c-Entropy Belyi, Sergey Makarov, Konstantin Tsekanovskii, Eduard Spectral Theory Primary 47A10, Secondary 47N50, 81Q10 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. |
| title | L-systems with Multiplication Operator and c-Entropy |
| topic | Spectral Theory Primary 47A10, Secondary 47N50, 81Q10 |
| url | https://arxiv.org/abs/2504.12974 |