Proof of Wojtkowski's Falling Particle Conjecture
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909259116052480 |
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| author | Simanyi, Nandor |
| author_facet | Simanyi, Nandor |
| contents | In this paper we present an unconditional proof of Wojtkowski's Ergodicity Conjecture for almost every system of 1D perfectly elastic balls falling down in a half line under constant gravitational acceleration. Namely, by introducing a new algebraic approach, we prove that almost every such system is (completely hyperbolic and) ergodic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12033 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Proof of Wojtkowski's Falling Particle Conjecture Simanyi, Nandor Dynamical Systems 37D05 In this paper we present an unconditional proof of Wojtkowski's Ergodicity Conjecture for almost every system of 1D perfectly elastic balls falling down in a half line under constant gravitational acceleration. Namely, by introducing a new algebraic approach, we prove that almost every such system is (completely hyperbolic and) ergodic. |
| title | Proof of Wojtkowski's Falling Particle Conjecture |
| topic | Dynamical Systems 37D05 |
| url | https://arxiv.org/abs/2407.12033 |