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math.GR2011★ 4 cited
Transience of algebraic varieties in linear groups and application to generic Zariski density
Richard Aoun
We study the transience of algebraic varieties in linear groups. In particular, we show that a "non elementary" random walk in SL_2(R) escapes exponentially fast from every proper…
math.GR2010★ 47 cited
Random subgroups of linear groups are free
Richard Aoun
We show that on an arbitrary finitely generated non virtually solvable linear group, any two independent random walks will eventually generate a free subgroup. In fact, this will h…