Spectral gap for Pollicott-Ruelle resonances on random coverings of Anosov surfaces
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918321641750528 |
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| author | Moy, Julien |
| author_facet | Moy, Julien |
| contents | Let $(M,g)$ be a closed Riemannian surface with Anosov geodesic flow. We prove the existence of a spectral gap for Pollicott--Ruelle resonances on random finite coverings of $M$ in the limit of large degree, which is expected to be optimal. The proof combines the recent strong convergence results of Magee, Puder and van Handel for permutation representations of surface groups with an analysis of the spherical mean operator on the universal cover of $M$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03726 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spectral gap for Pollicott-Ruelle resonances on random coverings of Anosov surfaces Moy, Julien Spectral Theory Mathematical Physics Dynamical Systems 37D40, 37C30, 60B20, 81Q20 Let $(M,g)$ be a closed Riemannian surface with Anosov geodesic flow. We prove the existence of a spectral gap for Pollicott--Ruelle resonances on random finite coverings of $M$ in the limit of large degree, which is expected to be optimal. The proof combines the recent strong convergence results of Magee, Puder and van Handel for permutation representations of surface groups with an analysis of the spherical mean operator on the universal cover of $M$. |
| title | Spectral gap for Pollicott-Ruelle resonances on random coverings of Anosov surfaces |
| topic | Spectral Theory Mathematical Physics Dynamical Systems 37D40, 37C30, 60B20, 81Q20 |
| url | https://arxiv.org/abs/2602.03726 |