イベントカレンダー
- 日程
- 2019年9月30日（月）
- 時間
- 17:00～18:30
- 場所
- 本館2階H213セミナー室
- 講師
- 高橋 悠樹 氏（東北大学）
- 講演者
- 高橋 悠樹 氏（東北大学）
- 講演タイトル
- One and two dimensional quasicrystal models and related topics
- アブストラクト
- We will first discuss the Fibonacci Hamiltonian, which is the most prominent one-dimensional quasicrystal model. The Fibonacci Hamiltonian has been studied intensively for the past thirty years and now it is known that the spectral properties of the Fibonacci Hamiltonian can be described by the so-called trace map. We then discuss the Square Fibonacci Hamiltonian and the Labyrinth model. They are two-dimensional quasicrystal models that are constructed by two copies of one-dimensional models. The spectra of the Square Fibonacci Hamiltonian and the Labyrinth model are given by sums and products of two Cantor sets, respectively. We will show that their spectra are intervals for sufficiently small coupling constants.
更新日：2019.08.19
