Semi-Quenched Invariance Principle for the Random Lorentz Gas -- Beyond the Boltzmann-Grad Limit
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929732643192832 |
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| author | Tóth, Bálint |
| author_facet | Tóth, Bálint |
| contents | By synchronously coupling multiple Lorentz trajectories exploring the same environment consisting of randomly placed scatterers in R^3 we upgrade the annealed invariance principle proved in [C. Lutsko, B. Tóth, Commun. Math. Phys. 379 589-632 (2020)] to quenched setting (that is, valid for almost all realizations of the environment) along sufficiently fast extractor sequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00519 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Semi-Quenched Invariance Principle for the Random Lorentz Gas -- Beyond the Boltzmann-Grad Limit Tóth, Bálint Probability Mathematical Physics Dynamical Systems 60F17, 60K35, 60K37, 60K40, 82C22, 82C31, 82C40, 82C41 By synchronously coupling multiple Lorentz trajectories exploring the same environment consisting of randomly placed scatterers in R^3 we upgrade the annealed invariance principle proved in [C. Lutsko, B. Tóth, Commun. Math. Phys. 379 589-632 (2020)] to quenched setting (that is, valid for almost all realizations of the environment) along sufficiently fast extractor sequences. |
| title | Semi-Quenched Invariance Principle for the Random Lorentz Gas -- Beyond the Boltzmann-Grad Limit |
| topic | Probability Mathematical Physics Dynamical Systems 60F17, 60K35, 60K37, 60K40, 82C22, 82C31, 82C40, 82C41 |
| url | https://arxiv.org/abs/2501.00519 |