# Publications

What is a Publication?**6**Publications visible to you, out of a total of

**6**

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**Authors: **Jonas Beyrer, Beatrice Pozzetti

**Date Published**: 15th Jul 2021

**Publication Type**: Journal

**Abstract** (Expand)

We show that group actions on irreducible \CAT cube complexes with no free faces are uniquely determined by their \ell^1 length function. Actions are allowed to be non-proper and non-cocompact, as long …

**Authors: **Jonas Beyrer, Elia Fioravanti

**Date Published**: 2019

**Publication Type**: Misc

**Abstract** (Expand)

Given an action on a metric space one can associate to each element of the group its translation length. This gives a function of the group to the reals called the marked length spectrum. Adding …

**Author: **Jonas Beyrer

**Date Published**: 2019

**Publication Type**: Journal

**Abstract** (Expand)

It is known that the antipodal set of a Riemannian symmetric space of compact type G/K consists of a union of K-orbits. We determine the dimensions of these K-orbits of most irreducible symmetric spaces …

**Author: **Jonas Beyrer

**Date Published**: 2018

**Publication Type**: Journal

**Abstract** (Expand)

Many geometric structures associated to surface groups can be encoded in terms of invariant cross ratios on their circle at infinity; examples include points of Teichmüller space, Hitchin representations …

**Authors: **Jonas Beyrer, Elia Fioravanti

**Date Published**: 2018

**Publication Type**: Journal

**Abstract** (Expand)

We introduce a \Z–valued cross ratio on Roller boundaries of \mathrmCAT cube complexes. We motivate its relevance by showing that every cross-ratio preserving bijection of Roller boundaries uniquely …

**Authors: **Jonas Beyrer, Elia Fioravanti, Merlin Incerti-Medici

**Date Published**: 2018

**Publication Type**: Misc