Random walks on graphs and approximation of L²-Invariants

• Main Authors: Kricker, Andrew, Wong, Zenas
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2022
• Subjects: Science::Mathematics; Random Walks; Spectral Density Function
• Online Access: https://hdl.handle.net/10356/160048
• Institution: 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...