16 citations · 51 across the 22 of their papers we have counts for
6 papers · 1 filter
Planar Baumslag-Solitar actions
Juan Alonso, Cristobal Rivas, Juliana Xavier
Following previous work, where representations of by planar orientation preserving homeomorphisms with linear diagonalizable conjugating element was studied, we consider…
One some planar Baumslag-Solitar actions
Juan Alonso, Nancy Guelman, Cristobal Rivas +1
Let be the solvable Baumslag-Solitar group for . We study representations of on the plane by orientation pre…
Quasi-invariant measures for some amenable groups acting on the line
Nancy Guelman, Cristóbal Rivas
In this note we show that if is a solvable group acting on the line, and if there is having no fixed points, then there is a Radon measure on the line quasi-invari…
Group orderings, dynamics, and rigidity
Kathryn Mann, Cristobal Rivas
Let G be a countable group. We show there is a topological relationship between the space CO(G) of circular orders on G and the moduli space of actions of G on the circle; as well…
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…
Rigidity for actions on the interval arising from hyperbolicity I: solvable groups
C. Bonatti, I. Monteverde, A. Navas +1
We consider Abelian-by-cyclic groups for which the cyclic factor acts by hyperbolic automorphisms on the Abelian subgroup. We show that if such a group acts faithfully by dif…