High entropy measures on the space of lattices with escape of mass
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866918217656565760 |
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| author | Kim, Taehyeong |
| author_facet | Kim, Taehyeong |
| contents | For any diagonal element $a$ with two eigenvalues, we construct a sequence of $a$-invariant probability measures on the space of unimodular lattices with high entropy but converging to the zero measure. This extends the result of Kadyrov [Ergodic Theory Dynam. Systems, 32(1) (2012)]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16840 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | High entropy measures on the space of lattices with escape of mass Kim, Taehyeong Dynamical Systems For any diagonal element $a$ with two eigenvalues, we construct a sequence of $a$-invariant probability measures on the space of unimodular lattices with high entropy but converging to the zero measure. This extends the result of Kadyrov [Ergodic Theory Dynam. Systems, 32(1) (2012)]. |
| title | High entropy measures on the space of lattices with escape of mass |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2403.16840 |