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Seminars

Taipei Postdoc Seminar

The Characterization of Positive Entropy in Markov Tree-shifts

2024/03/06 (Wed.) 14:00~15:00
  • Date : 2024/03/06 (Wed.) 14:00~15:00
  • Location : Room 515, Cosmology Building, NTU
  • Speaker : Nai-Zhu Huang (National Central University)
  • Organizer : Kuan-Wei Chen (NCTS) & Ryota Mikami (AS)
  • Abstract : Topological entropy is often considered as an indicator of complexity. However, determining the positive entropy of multidimensional shifts of finite type lacks a finitely checkable algorithm, as it is right recursively enumerable. In this presentation, we will present the characterization of positive entropy in Markov tree-shifts by adjacency matrices. Additionally, we will reveal the relationship among positive entropy, topological properties, and chaotic behaviors.
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