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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Percolation in Strongly Correlated Systems: The Massless Gaussian Field
强相关系统 渗透 无质量 高斯场
2023/5/5
In this talk, we will show several results for correlated nearest neighbor site percolation on Z^d. In particular, we will show that in three dimensions the strongly correlated massless harmonic cryst...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Existence of phase transition for percolation using the Gaussian Free Field
高斯自由 伯努利渗透 相变存在
2023/5/8
In this talk, we prove that Bernoulli percolation on graph undergoes a non-trivial phase transition if the graph has bounded degrees and random walk on the graph has a heat kernel with rapid decay. Th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The level-set percolation of Gaussian free field
高斯自由场 水平 集渗流
2023/5/17
In this lecture, I will discuss some of the recent progresses in the level-set percolation of Gaussian free field in (d\geq 3), including the positivity of threshold and (if time permits) sharp phase ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： The level-set percolation of Gaussian free field
高斯自由场 水平集渗流 随机交错
2023/5/18
In this lecture, I will discuss some of the recent progresses in the level-set percolation of Gaussian free field in (d\geq 3), including the positivity of threshold and (if time permits) sharp phase ...