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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 ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Interlacement and Gaussian Free Field
交叠 高斯自由场 格林函数
2023/5/18
The (discrete) Gaussian free field (dGFF) on a transient graph, simply put, is the random Gaussian field with covariance given through Green’s function of the random walk on that graph. It is in many ...
Sharp asymptotics for Toeplitz determinants, fluctuations and the gaussian free field on a Riemann surface
Sharp asymptotics fluctuations the gaussian free Riemann surface
2011/7/26
Abstract: We consider canonical determinantal point processes with N particles on a compact Riemann surface X defined with respect to the constant curvature metric and show that in the large N-limit t...