Journal article

Spectrum of partial automorphisms of regular rooted tree

Year:

2021

Published in:

Springer Nature
Partial automorphism
Inverse semigroup
Eigenvalues
Delta measure
Random element
Uniform distribution

We study properties of eigenvalues of a matrix associated with a randomly chosen partial automorphism of a regular rooted tree. We show that asymptotically, as the level number goes to infinity, the fraction of non-zero eigenvalues converges to zero in probability.

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