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math.PR2021
Boundedness of Gaussian random sums on trees
Yong Han, Yanqi Qiu, Zipeng Wang
Let be a rooted tree endowed with the natural partial order . Let be a sequence of independent standard Gaussian random variables…
math.PR2021
A note on the GFF with one free boundary condition
Yong Han, Yuefei Wang, Zipeng Wang
In this note, we shall prove an explicit formula on the probability of the level line of the Gaussian Free Field (GFF) with mixed boundary condition terminating at the free boundar…
math.PR2020
On a class of random sets of positive integers
Yong Han, Yanqi Qiu, Zipeng Wang
In this note, we study a class of random subsets of positive integers induced by Bernoulli random variables. We obtain sufficient conditions such that the random set is almost sure…