2 papers
math.PR2026
Full large deviation principles for the largest eigenvalue of sub-Gaussian Wigner matrices
Nicholas A. Cook, Raphael Ducatez, Alice Guionnet
We establish precise upper-tail asymptotics and large deviation principles for the rightmost eigenvalue of Wigner matrices with sub-Gaussian entries. In contrast to the case…
math.CO2025
Upper tails for homomorphism counts in sparse random hypergraphs
Nicholas A. Cook, Nguyen Nguyen
The "infamous upper tail problem" for -uniform hypergraphs is to estimate the probability that the number of copies of a fixed hypergraph in a large binomial -uniform hyp…