John M. Mackay

activity

20232026

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math.GR2025

Connecting conformal dimension and Poincaré profiles

David Hume, John M. Mackay

We strengthen the connection between the Ahlfors-regular (AR) conformal dimension Confdim $(Z)$ of a compact AR metric space $Z$ and a certain critical exponent of the Poincaré prof…

math.GR2025

Property FA for random $ℓ$ -gonal groups

Emily Clement, John M. Mackay

In the binomial $ℓ$ -gonal model for random groups, where the random relations all have fixed length $ℓ \geq 3$ and the number of generators goes to infinity, we establish a do…

Connecting conformal dimension and Poincaré profiles

Property FA for random ℓ-gonal groups

Property FA for random $ℓ$ -gonal groups