迁移算子谱势、$t$ -熵、熵与拓扑压的关系分析
Analysis of relationships between spectral potential of transfer operators, $t$-entropy, entropy and topological pressure
摘要：
本文分析了动力系统谱理论的主要对象（转移算子和加权移位算子）与信息论和热力学形式主义的基本特征（熵和拓扑压）之间的关系。我们提出了明确的公式连接这些对象与$t$ -熵和光谱潜力。在此基础上，我们揭示了逆分支率、前向熵与本质集以及动力系统的不可压缩性的作用。
英文摘要：
The paper is devoted to the analysis of relationships between principal objects of the spectral theory of dynamical systems (transfer and weighted shift operators) and basic characteristics of information theory and thermodynamic formalism (entropy and topological pressure). We present explicit formulae linking these objects with $t$-entropy and spectral potential. Herewith we uncover the role of inverse rami-rate, forward entropy along with essential set and the property of non-contractibility of a dynamical system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
