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math.PR2023
Extreme local statistics in random graphs: maximum tree extension counts
Pedro Araújo, Simon Griffiths, Matas Šileikis +1
We consider maximum rooted tree extension counts in random graphs, i.e., we consider M_n = \max_v X_v where X_v counts the number of copies of a given tree in G_{n,p} rooted at ver…
math.PR2016
On maximal tail probability of sums of nonnegative, independent and identically distributed random variables
Tomasz Łuczak, Katarzyna Mieczkowska, Matas Šileikis
We consider the problem of finding the optimal upper bound for the tail probability of a sum of nonnegative, independent and identically distributed random variables with given…