Abstract
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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The author thanks the anonymous referee for careful reading of the manuscript and helpful suggestions, which led to improvement of the paper.
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Communicated by Benjamin Steinberg.
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Kochubinska, E. Spectrum of partial automorphisms of regular rooted tree. Semigroup Forum 103, 567–574 (2021). https://doi.org/10.1007/s00233-021-10219-5
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DOI: https://doi.org/10.1007/s00233-021-10219-5