Lim-free dynamical criterion for faithful boundary actions on hyperbolic spaces is equivalent to the algebraic property of being mixed identity free, with transitivity degree bounded by 3 for non-lim-free groups.
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Boundary dynamics, triple transitivity, and mixed identities in weakly hyperbolic groups
Lim-free dynamical criterion for faithful boundary actions on hyperbolic spaces is equivalent to the algebraic property of being mixed identity free, with transitivity degree bounded by 3 for non-lim-free groups.