30 citations · 64 across the 36 of their papers we have counts for
4 papers · 1 filter
Hyperfiniteness of boundary actions via tree decompositions
Chris Karpinski, Bobby Miraftab
We study conditions for a countable group acting on a connected locally finite hyperbolic graph to induce a hyperfinite orbit equivalence relation on the Gromov boundary of the gra…
Quasirandomness and Uniform Twin-Width
George Kontogeorgiou, Bobby Miraftab
For every nontrivial finite group, we prove that its quasirandom degree gives a polynomial lower bound on its uniform twin-width, whereas its minimum faithful complex representatio…
Accessibility and Twin-width
George Kontogeorgiou, Bobby Miraftab
We show that finite twin-width does not imply accessibility for finitely generated groups, which answers a question of Esperet. That is, we prove that there exists a finitely gener…
Subgroups arising from connected components in the Morse boundary
Annette Karrer, Babak Miraftab, Stefanie Zbinden
We study connected components of the Morse boundary and their stabilisers. We introduce the notion of point-convergence and show that if the set of non-singleton connected componen…