On Mirzakhani's twist torus conjecture
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866917013957378048 |
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| author | Calderon, Aaron Farre, James |
| author_facet | Calderon, Aaron Farre, James |
| contents | We address a conjecture of Mirzakhani about the statistical behavior of certain expanding families of ``twist tori'' in the moduli space of hyperbolic surfaces, showing that they equidistribute to a certain Lebesgue-class measure along almost all sequences. We also identify a number of other expanding families of twist tori whose limiting distributions are mutually singular to Lebesgue. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12106 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Mirzakhani's twist torus conjecture Calderon, Aaron Farre, James Geometric Topology Dynamical Systems We address a conjecture of Mirzakhani about the statistical behavior of certain expanding families of ``twist tori'' in the moduli space of hyperbolic surfaces, showing that they equidistribute to a certain Lebesgue-class measure along almost all sequences. We also identify a number of other expanding families of twist tori whose limiting distributions are mutually singular to Lebesgue. |
| title | On Mirzakhani's twist torus conjecture |
| topic | Geometric Topology Dynamical Systems |
| url | https://arxiv.org/abs/2405.12106 |