Arxiv
| Presentation Name： | 随机分析与数学物理Workshop系列报告一👩👦：Surviving ends in Bernoulli percolation on graphs roughly isometric to a tree |
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| Presenter： | 向开南 教授 |
| Date： | 2021-07-10 |
| Location： | 光华楼东主楼2001室 |
| Abstract： | Let G be an infinite locally-finite connected graph roughly isometric to a tree, and o a fixed vertex of G. Given any p∈(0,1). Then under a mild condition, the number of surviving ends under Bernoulli-p bond percolation ω on G a.s. either is 0 or has the cardinality of the continuum; where a surviving end is an end of G induced by a surviving ray from o in the ω. This shows that Bernoulli-p bond percolations are roughly isometric invariant to a certain degree. |
| Annual Speech Directory： | No.188 |
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