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L-systems with Multiplication Operator and c-Entropy

2025/04/17 by Belyi, Sergey, Makarov, Konstantin, Tsekanovskii, Eduard · 1 citation
#81Q10 #FOS: Mathematics #Primary 47A10 #Secondary 47N50 #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2504.12974

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.

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