4 papers
math.CO2020
Combinatorics of partial wreath power of finite inverse symmetric semigroup
Eugenia Kochubinska
We study some combinatorial properties of partial wreath -th power of the semigroup . In particular, we calculate its order, the number of idempotents and the nu…
math.GR2020
Spectrum of partial automorphisms of regular rooted tree
Eugenia Kochubinska
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 numbers of level…
math.GR2020
Spectral properties of partial automorphisms of binary rooted tree
Eugenia Kochubinska
We study asymptotics of the spectral measure of a randomly chosen partial automorphism of a rooted tree. To every partial automorphism we assign its action matrix . It is…
math.GR2020
On isomorphisms of - and -cross-sections of wreath products of finite inverse symmetric semigroups
Eugenia Kochubinska
We classify - and -cross-sections of wreath products of finite inverse symmetric semigroups up to isomorphism. We sh…