Colloquium / Seminars
Topic:Bohr chaoticity of number-conserving shifts
Speaker:Prof. Chih-Hung Chang
(Dept. of Applied Mathematics, National University of KaohsiungDate time:Oct. 24 14:00 - 15:00
Venue:
Abstract:
Abstract. Let $X$ be a.compact metric space and $T: X \to X$ be a continuous transformation. A dynamical system $(X, T)$ is called Bohr chaotic if for each weight sequence $(w_n) \in \ell^{\infty}(\mathbb{N}, \mathbb{R})$ there are $f \in \mathcal{C}(X)$ and $x \in X$ such that $(w_n)$ is orthogonal to $\{f \circ T^n(x)\}$. In this talk, we introduce the number-conserving shifts and show that a number-conserving shift is either finite or Bohr chaotic. Furthermore, a number-conserving shift is consisting of periodic points whenever it is finite.Download:Talk_1121024.pdf
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