无穷视野 Lorentz 气体的广义重对数律
概率论
2025-01-28 v2 动力系统
摘要
对于一类具有超扩散行为的相依过程，我们得到了广义重对数律。我们的结果特别适用于无穷视野的 Lorentz 气体。
关键词
引用
@article{arxiv.2403.19582,
title = {Generalized law of iterated logarithm for the Lorentz gas with infinite horizon},
author = {Péter Bálint and Dalia Terhesiu},
journal= {arXiv preprint arXiv:2403.19582},
year = {2025}
}
备注
Restructured, exposition is now more focused on results for the Lorentz gas. Proof of Lemma 5.4 (Lemma 4.4 in the previous version) corrected