Scholarlink

<p>We consider a class of random billiards in a tube, where reflection angles at collisions with the boundary of the tube are random variables rather than deterministic (and elastic) quantities. We obtain a (non-standard) Central Limit Theorem for the displacement of a particle, which marginally fails to have a second moment w.r.t. the invariant measure of the random billiard.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On Some Random Billiards in a Tube with Superdiffusion

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年7月23日

查看全文
  • Henk Bruin,
  • Niels Kolenbrander,
  • Dalia Terhesiu

摘要

We consider a class of random billiards in a tube, where reflection angles at collisions with the boundary of the tube are random variables rather than deterministic (and elastic) quantities. We obtain a (non-standard) Central Limit Theorem for the displacement of a particle, which marginally fails to have a second moment w.r.t. the invariant measure of the random billiard.