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math.DS2026
Generic twisted Pollicott--Ruelle resonances and zeta function at zero
Tristan Humbert, Zhongkai Tao
For a connected orientable closed surface of genus with Anosov geodesic flow, we show the existence of an open subset of finite-dimensional irreducible representa…
math.DS2024
Selberg, Ihara and Berkovich
Jialun Li, Carlos Matheus, Wenyu Pan +1
We use the Selberg zeta function to study the limit behavior of resonances in a degenerating family of Kleinian Schottky groups. We prove that, after a suitable rescaling, the Selb…