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Packing topological pressure for amenable group actions

Published 24 May 2024 in math.DS | (2405.15212v1)

Abstract: In this paper, we first prove the variational principle for amenable packing topological pressure. Then we obtain an inequality concerning amenable packing pressure for factor maps. Finally, we show that the equality about packing topological pressure of the set of generic points when the system satisfies the almost specification property, or $\mu$ is ergodic.

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