<p>We establish existence, uniqueness and ergodicity results for Patterson–Sullivan measures for relatively Anosov groups. As applications we obtain an entropy gap theorem and a strict concavity result for entropies associated to linear functionals.</p>

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Patterson–Sullivan measures for relatively Anosov groups

  • Richard Canary,
  • Tengren Zhang,
  • Andrew Zimmer

摘要

We establish existence, uniqueness and ergodicity results for Patterson–Sullivan measures for relatively Anosov groups. As applications we obtain an entropy gap theorem and a strict concavity result for entropies associated to linear functionals.