3 citations · 3 across the 2 of their papers we have counts for
9 papers
Subexponential growth and actions on one-manifolds
Sang-hyun Kim, Nicolás Matte Bon, Mikael de la Salle +1
Let be a countable group with no finitely generated subgroup of exponential growth. We show that every action of on a countable set preserving a linear (respectively, circu…
On James Hyde's example of non-orderable subgroup of
Michele Triestino
In [Ann. Math. 190 (2019), 657-661], James Hyde presented the first example of non-left-orderable, finitely generated subgroup of , the group of homeo…
Small actions of semidirect products on compact manifolds
Christian Bonatti, Sang-hyun Kim, Thomas Koberda +1
Let be a compact fibered --manifold, presented as a mapping torus of a compact, orientable surface with monodromy , and let be a compact Riemannian manifold. Our…
One-dimensional actions of Higman's group
Cristóbal Rivas, Michele Triestino
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 quasimorphisms from the Higman…
Groups of piecewise linear homeomorphisms of flows
Nicolás Matte Bon, Michele Triestino
To every dynamical system over a totally disconnected compact space, we associate a left-orderable group . It is defined as a group of homeomorphisms of the suspensio…
Entropy, Lyapunov exponents, and rigidity of group actions
Aaron W. Brown, Sébastien Alvarez, Dominique Malicet +4
This text is an expanded series of lecture notes based on a 5-hour course given at the workshop entitled "Workshop for young researchers: Groups acting on manifolds" held in Teresó…