Search Results - "Rivas, Cristóbal"

Two new families of finitely generated simple groups of homeomorphisms of the real line by Hyde, James, Lodha, Yash, Rivas, Cristóbal

“…The goal of this article is to exhibit two new families of finitely generated simple groups of homeomorphisms of R. These families are strikingly different…”
Get full text

Left-orderings on free products of groups by Rivas, Cristóbal

“…We show that no left-ordering on a free product of (left-orderable) groups is isolated. In particular, we show that the space of left-orderings of a free…”
Get full text

Virtual Critical Regularity of Mapping Class Group Actions on the Circle by Kim, Sang-hyun, Koberda, Thomas, Rivas, Cristóbal

“…We show that if G 1 and G 2 are non-solvable groups, then no C 1, τ action of ( G 1 × G 2 ) ∗ ℤ on S 1 is faithful for τ > 0. As a corollary, if S is an…”
Get full text

Group orderings, dynamics, and rigidity by Mann, Kathryn, Rivas, Cristóbal

Get full text

On the geometry of positive cones in finitely generated groups by Alonso, Juan, Antolín, Yago, Brum, Joaquin, Rivas, Cristóbal

“…We study the geometry of positive cones of left‐invariant total orders (left‐order, for short) in finitely generated groups. We introduce the Hucha property…”
Get full text

One-dimensional actions of Higman's group by Rivas, Cristóbal, Triestino, Michele

“…We build a faithful action of Higman's group on the line by homeomorphisms, answering a question of Yves de Cornulier. As a by product we obtain many…”
Get full text

A realisation result for moduli spaces of group actions on the line by Brum, Joaquín, Bon, Nicolás Matte, Rivas, Cristóbal, Triestino, Michele

“…Given a finitely generated group , the possible actions of on the real line (without global fixed points), considered up to semi‐conjugacy, can be encoded by…”
Get full text

Quasi-invariant measures for some amenable groups acting on the line by Guelman, Nancy, Rivas, Cristóbal

Get full text

Orderings and flexibility of some subgroups of Homeo+(R) by Alonso, Juan, Brum, Joaquín, Rivas, Cristóbal

“…In this work we exhibit flexibility phenomena for some (countable) groups acting by order preserving homeomorphisms of the line. More precisely, we show that…”
Get full text

On Groups with Finitely Many Conradian Orderings by Rivas, Cristóbal

“…We study the space of left-orderings on groups with (only) finitely many Conradian orderings. We show that, within this class of groups, having an isolated…”
Get full text

Regular left-orders on groups by Antolín, Yago, Rivas, Cristóbal, Lu Su, Hang

“…A regular left-order on a finitely generated group G is a total, left-multiplication invariant order on G whose corresponding positive cone is the image of a…”
Get full text

On some planar Baumslag–Solitar actions by Alonso, Juan, Guelman, Nancy, Rivas, Cristóbal, Xavier, Juliana

“…Let \mathrm{BS}(1,n)= \langle a,b : a b a^{-1}= b^{n}\rangle be the solvable Baumslag–Solitar group for n \geq 2 . We study representations of \mathrm{BS}(1,…”
Get full text

A realisation result for moduli spaces of group actions on the line by Brum, Joaquín, Bon, Nicolás Matte, Rivas, Cristóbal, Triestino, Michele

“…Abstract Given a finitely generated group , the possible actions of on the real line (without global fixed points), considered up to semi‐conjugacy, can be…”
Get full text

Generalized finite moments and Liouville–Green approximations by Pinto, Manuel, Rivas, Cristóbal

“…The Liouville–Green approximation for the differential equation z ̈ ( t ) + f ( t ) z ( t ) = 0 is exhaustively studied. New moments of f –and not only the…”
Get full text

A new characterization of Conrad’s property for group orderings, with applications by Navas, Andrés, Rivas, Cristóbal

Get full text

On the critical regularity of nilpotent groups acting on the interval: the metabelian case by Escayola, Maximiliano, Rivas, Cristóbal

“…Let $G$ be a torsion-free, finitely-generated, nilpotent and metabelian group. In this work we show that $G$ embeds into the group of orientation preserving…”
Get full text

One-dimensional actions of Higman's group by Rivas, Cristóbal, Triestino, Michele

“…Discrete Analysis, 2019:20, 15pp We build a faithful action of Higman's group on the line by homeomorphisms, answering a question of Yves de Cornulier. As a…”
Get full text

A realisation result for moduli spaces of group actions on the line by Brum, Joaquín, Bon, Nicolás Matte, Rivas, Cristóbal, Triestino, Michele

“…Given a finitely generated group $G$, the possible actions of $G$ on the real line (without global fixed points), considered up to semi-conjugacy, can be…”
Get full text

Virtual critical regularity of mapping class group actions on the circle by Kim, Sang-hyun, Koberda, Thomas, Rivas, Cristóbal

“…We show that if $G_1$ and $G_2$ are non-solvable groups, then no $C^{1,\tau}$ action of $(G_1\times G_2)*\mathbb{Z}$ on $S^1$ is faithful for $\tau>0$. As a…”
Get full text

The space of relative orders and a generalization of Morris indicability theorem by Antolín, Yago, Rivas, Cristóbal

“…We introduce the space of relative orders on a group and show that it is compact whenever the group is finitely generated. We use this to show that if $G$ is a…”
Get full text