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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large deviations in random interlacements II: tilted interlacements and solidification of porous surfaces
随机交错 大偏差 倾斜交错 多孔表面 固化
2023/5/10
In this lecture, I will discuss how tilting and coarse graining, two key ideas in modern probability, come into play in deriving respectively the lower and upper bounds of the asymptotic probability i...
Spanning trees of graphs on surfaces and the intensity of loop-erased random walk on Z^2
Uniform spanning tree loop-erased random walk abelian sandpile model
2011/9/14
Abstract: We show how to compute the probabilities of various connection topologies for uniformly random spanning trees on graphs embedded in surfaces. As an application, we show how to compute the "i...
Conformal weldings of random surfaces: SLE and the quantum gravity zipper
Conformal weldings of random surfaces: quantum gravity zipper
2011/2/24
We construct a conformal welding of two Liouville quantum gravity random surfaces and show that the interface between them is a random fractal curve called the Schramm-Loewner evolution (SLE), thereby...