Asymptotics are established for counting orbital points lying in one conjugacy class for cocompact and convex cocompact actions on negatively curved spaces.
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For separated families of Anosov representations, the critical exponent along diverging sequences asymptotes to a combinatorial invariant from the spectral data of a finite graph.
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Orbital Counting in Conjugacy Classes
Asymptotics are established for counting orbital points lying in one conjugacy class for cocompact and convex cocompact actions on negatively curved spaces.
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On separated families of Anosov representations
For separated families of Anosov representations, the critical exponent along diverging sequences asymptotes to a combinatorial invariant from the spectral data of a finite graph.