Journal article
Spectrum of partial automorphisms of regular rooted tree
Year:
2021Published in:
Springer NaturePartial 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.