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math.DG2026
Strict concavity of the growth indicator function for relatively Anosov groups
Dongryul M. Kim, Hee Oh, Andrew Zimmer
Let be a discrete subgroup of a connected semisimple real algebraic group of higher rank. The growth indicator function records the directional exponential growth of the…
math.GT2026
Global shadow estimates and Hausdorff measure criteria in higher rank
Dongryul M. Kim, Hee Oh
Patterson--Sullivan measures encode the distribution of orbits of discrete group actions near the boundary. We prove a global shadow lemma for Patterson--Sullivan measures associat…