Spectral properties of partial automorphisms of a binary rooted tree

• Datum: 2019
• 1. Verfasser: Kochubinska, Eugenia
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2019
• Schlagworte: partial automorphism; semigroup; eigenvalues; random matrix; delta measure; 20M18; 20M20,05C05
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/532
• Назва журналу: Algebra and Discrete Mathematics

We study asymptotics of the spectral measure of a randomly chosen partial automorphism of a rooted tree.  To every partial automorphism \(x\) we assign its action matrix \(A_x\). It is shown that the uniform distribution  on eigenvalues of \(A_x\) converges weakly in probability to \(\delta_0\) as \...