Geodesic
Spectral properties of partial automorphisms of~a~binary rooted tree
Algebra and discrete mathematics, Tome 26 (2018) no. 2, pp. 280-289.

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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 Ax. It is shown that the uniform distribution on eigenvalues of Ax converges weakly in probability to δ0 as n→∞, where δ0 is the delta measure concentrated at 0.
Keywords: semigroup, eigenvalues, delta measure.
Mots-clés : partial automorphism, random matrix 
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Eugenia Kochubinska. Spectral properties of partial automorphisms of~a~binary rooted tree. Algebra and discrete mathematics, Tome 26 (2018) no. 2, pp. 280-289. https://geodesic-test.mathdoc.fr/item/ADM_2018_26_2_a6/

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