Spectral Gaps on Large Hyperbolic Surfaces

Published 20 Jan 2026 in math.SP | (2601.13988v1)

Abstract: In this expository paper, we review the history and the recent breakthroughs in the spectral theory of large volume hyperbolic surfaces. More precisely, we focus mostly on the investigation of the first non-trivial eigenvalue $λ_1$ and its possible behaviour in the large volume regime.

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