arXiv subjects

Antoine Derimay

Publications and source records attributed to Antoine Derimay.

2 recordsLinked to original sources

arXiv2025

Poisson boundaries of building lattices and rigidity with hyperbolic-like targets

We prove that a Poisson boundary of any regular thick Euclidean building, as well as lattices thereof is the space of chambers at infinity of the building with the harmonic measure class. We then use this result to generalize rigidity results of Guirardel-Horbez-L\'ecureux on morphisms and cocycles from lattices in buildings to groups with negative curvature properties.

math.GR↗

arXiv2025

On the commensurating full group

We introduce a new Polish group, called the commensurating full group, associated to an ergodic measure-class preserving transformation of a standard atomless probability space. It is an analogue of the $\rm L^1$ full group defined by Le Ma\^itre, which does not need the transformation to preserve a measure to be defined. We prove, among others, that it is a complete invariant of flip conjugacy, and that it is quasi-isometric to the line in the sense of Rosendal.

math.DS↗