Finite Entropy Actions of Free Groups , Rigidity of Stabilizers , and a Howe – Moore Type Phenomenon

@inproceedings{Seward2013FiniteEA,
  title={Finite Entropy Actions of Free Groups , Rigidity of Stabilizers , and a Howe – Moore Type Phenomenon},
  author={Brandon Seward},
  year={2013}
}
We study a notion of entropy for probability measure preserving actions of finitely generated free groups, called f-invariant entropy, introduced by Lewis Bowen. In the degenerate case, the f-invariant entropy is negative infinity. In this paper we investigate the qualitative consequences of having finite f-invariant entropy. We find three main properties of such actions. First, the stabilizers occurring in factors of such actions are highly restricted. Specifically, the stabilizer of almost… CONTINUE READING

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A new measure conjugacy invariant for actions of free groups

  • L. Bowen
  • Annals of Mathematics 171
  • 2010
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Entropy in Dynamical Systems

  • T. Downarowicz
  • Cambridge University Press, Cambridge
  • 2011

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