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math.GR2024
The joint translation spectrum and Manhattan manifolds
Stephen Cantrell, Eduardo Reyes, Cagri Sert
We define and study geometric versions of the Benoist limit cone and matrix joint spectrum, which we call the translation cone and the joint translation spectrum, respectively. The…
math.GR2023★ 1 cited
Rigidity phenomena and the statistical properties of group actions on cube complexes
Stephen Cantrell, Eduardo Reyes
We compare the marked length spectra of some pairs of proper and cocompact cubical actions of a non-virtually cyclic group on cube complexes. The cubulations are re…