Random walks on graphs and approximation of L²-Invariants

• Main Authors: Kricker, Andrew, Wong, Zenas
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2022
• 主題: Science::Mathematics; Random Walks; Spectral Density Function
• 在線閱讀: https://hdl.handle.net/10356/160048
• 機構: Nanyang Technological University

In this work, we interpret right multiplication operators Rw: l2(G) → l2(G) , w∈ ℂ[G] as random walk operators on certain labelled graphs we employ that are analogous to Cayley graphs. Applying a generalization of the graph convergence defined by R. I. Grigorchuk and A. Żuk to these graphs gives a n...