Discrete subgroups with critical exponent sufficiently close to the volume growth entropy of the symmetric space are Zariski dense, generalizing Borel's density theorem.
Asymptotically large free semigroups in Zariski dense discrete subgroups of Lie groups,
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Zariski density of discrete subgroups via critical exponents and unitary representations
Discrete subgroups with critical exponent sufficiently close to the volume growth entropy of the symmetric space are Zariski dense, generalizing Borel's density theorem.