21 citations · 78 across the 16 of their papers we have counts for
30 papers
Strong Negative Type of Star-shaped Manifolds
Hang Liu, Ziyan Xu
Metric spaces of negative type (NT) and strong negative type (SNT) are fundamental in wide applications across computer science and statistics. It is well-known that spheres equipp…
Profinite geometric iterated monodromy groups of postcritically finite polynomials in degree 3
Mikhail Hlushchanka, Olga Lukina, Dean Wardell
In this article, we study the properties of profinite geometric iterated monodromy groups associated to polynomials. Such groups can be seen as generic representations of absolute…
Group actions with almost normal stabilizers
María Isabel Cortez, Maik Gröger, Olga Lukina
In this paper, we consider minimal group actions of countable groups on compact Hausdorff spaces by homeomorphisms. We show that the existence of a point with finite stabilizer imp…
Non-Hausdorff germinal groupoids for actions of countable groups
Olga Lukina
We study conditions under which the germinal groupoid associated to a minimal equicontinuous action of a countable group on a Cantor set has non-Hausdorff topology. We develop a ne…
Prime spectrum and dynamics for nilpotent Cantor actions
Steven Hurder, Olga Lukina
A minimal equicontinuous action by homeomorphisms of a discrete group on a Cantor set is locally quasi-analytic, if each homeomorphism has a unique extension from small ope…
Type invariants for non-abelian odometers
Steven Hurder, Olga Lukina
In this work, we introduce the type and typeset invariants for equicontinuous group actions on Cantor sets; that is, for generalized odometers. These invariants are collections of…