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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...
Finite-size left-passage probability in percolation
Finite-size left-passage probability percolation
2012/2/27
We obtain an exact finite-size expression for the probability that a percolation hull will touch the boundary, on a strip of finite width. Our calculation is based on the q-deformed Knizhnik--Zamolodc...
Renormalization group treatment of rigidity percolation
rigidity percolation Statistical Mechanics Mathematical Physics
2011/10/9
Abstract: Renormalization group calculations are used to give exact solutions for rigidity percolation on hierarchical lattices. Algebraic scaling transformations for a simple example in two dimension...