Martin-Löf随机性和Galton-Watson过程
Martin-Löf randomness and Galton-Watson processes
摘要：
Barmpalias等人研究的分布下的Martin-Löf随机闭集的成员恰好是通过具有生存参数$\frac{2}{3}$的Martin-Löf随机Galton-Watson树的无限路。作为这样的成员，充分条件是有效豪斯多夫维数严格大于$γ=\log_2 \frac{3}{2}$，必要条件是有效豪斯多夫维数大于或等于$γ$。
英文摘要：
The members of Martin-Löf random closed sets under a distribution studied by Barmpalias et al. are exactly the infinite paths through Martin-Löf random Galton--Watson trees with survival parameter $\frac{2}{3}$. To be such a member, a sufficient condition is to have effective Hausdorff dimension strictly greater than $γ=\log_2 \frac{3}{2}$, and a necessary condition is to have effective Hausdorff dimension greater than or equal to $γ$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
