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Jun 25, 2014 at 9:32 history edited Xin Nie CC BY-SA 3.0
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Jun 25, 2014 at 5:33 history edited Xin Nie CC BY-SA 3.0
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Jun 24, 2014 at 21:19 comment added Barbara Schapira Just a suggestion: have a look to Roblin's book (Mémoires SMF), where he proves that the critical exponent of a group $\Gamma$ is equal to the exponential growth rate of any orbit in any cone, and not in the full space. You could use it for the statement that you wish, which is, to my knowledge, unknown. Barbara
Jun 24, 2014 at 20:42 history asked Xin Nie CC BY-SA 3.0