R440, AstronomyMathematics Building, NTU
Speaker:
ChihHung Chang (National University of Kaohsiung)
Organizers:
JungChao Ban (National Chengchi University)
1. Background:
The aim of ergodic theory is to understand the stochastic behavior of deterministic dynamical systems by studying the ergodic invariant probability measures of the system. For the study of ergodic theory on symbolic dynamical systems, we intend to introduce some recently developed topics in dynamical systems. In the case of audience who does not acquire the background needed, we start with considering some topological behavior and complexity of onedimensional dynamical systems. Beginning at the conjugacy and graph representation of systems, an important invariant known as the topological entropy is introduced. Followed by the decidability of conjugacy between two systems, an application of the topological entropy, the existence of embedding or factor map between given systems, is introduced.
2. Outline:
Lecturer: Prof. ChihHung Chang(chchang@nuk.edu.tw)
Department of Applied Mathematics, National University of Kaohsiung
Date:Feb. 22, 2021  June 21, 2021
Title:

Shift Spaces

Higher Block Shifts and Higher Power Shifts

Sliding Block Codes

Shifts of finite type

Graph Representations of Shifts of Finite Type

State Splitting

Sofic Shifts

Characterizations of Sofic Shifts

Minimal RightResolving Presentations

Entropy

PerronFrobenius Theory

Irreducible Components and Cyclic Structure

Shifts as Dynamical Systems

Invariants and Zeta Functions

Markov Partitions
3. Credit: 3
Contact:
murphyyu@ncts.ntu.edu.tw