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math.GR2020
The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups
Matthieu Dussaule, Wenyuan Yang
The paper studies the Hausdorff dimension of harmonic measures on various boundaries of a relatively hyperbolic group which are associated with random walks driven by a probability…
math.GR2020★ 2 cited
An embedding of the Morse boundary in the Martin boundary
Matthew Cordes, Matthieu Dussaule, Ilya Gekhtman
We construct a one-to-one continuous map from the Morse boundary of a hierarchically hyperbolic group to its Martin boundary. This construction is based on deviation inequalities g…