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math.RT2026
The spectrum of Anosov representations
Yannick Guedes Bonthonneau, Thibault Lefeuvre, Tobias Weich
Given a -Anosov representation into a real reductive group , we construct a natural resonance spectrum associated with the representation. This spectrum is a complex…
math.RT2025
Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces
Christopher Lutsko, Tobias Weich, Lasse L. Wolf
Given a real semisimple connected Lie group and a discrete subgroup we prove a precise connection between growth rates of the group , polyhedral bounds on the joint…