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math.DS2015★ 7 cited
On the sharp regularity for arbitrary actions of nilpotent groups on the interval: the case of N_4
E. Jorquera, A. Navas, C. Rivas
We determine the largest α for which the nilpotent group of 4-by-4 triangular matrices with integer coefficients and 1 in the diagonal embeds into the group of C1+α diffeomorphism…
math.DS2009
On the entropy for group actions on the circle
Eduardo Jorquera
We show that for a finitely generated group of circle diffeomorphisms, the entropy of the action equals the entropy of the restriction of the action to the non-wandering set.