53 citations · 58 across the 4 of their papers we have counts for
5 papers
Contact Graphs, Boundaries, and a Central Limit Theorem for CAT(0) cubical complexes
Talia Fernós, Jean Lécureux, Frédéric Mathéus
Let be a nonelementary CAT(0) cubical complex. We prove that if is essential and irreducible, then the contact graph of (introduced in \cite{Hagen}) is unbounded and it…
Random Walks and Boundaries of CAT(0) Cubical complexes
Talia Fernós, Jean Lécureux, Fréderic Mathéus
We show under weak hypotheses that the pushforward of a random-walk to a CAT(0) cube complex converges to a point on the boundary. We introduce the notion of squeezing p…
Effective quasimorphisms on right-angled Artin groups
Talia Fernós, Max Forester, Jing Tao
We construct new families of quasimorphisms on many groups acting on CAT(0) cube complexes. These quasimorphisms have a uniformly bounded defect of 12, and they "see" all elements…
The Median Class and Superrigidity of Actions on CAT(0) Cube Complexes
Indira Chatterji, Talia Fernós, Alessandra Iozzi
We define a bounded cohomology class, called the {\em median class}, in the second bounded cohomology -- with appropriate coefficients --of the automorphism group of a finite dimen…
Relative Property (T) and the Vanishing of the first -Betti number
Talia Fernós
In this paper, we show that certain families with relative property (T) have trivial first -Betti number. We apply this to the elementary matrix group $\EL_n(\R)$ where $\R…