  Hawkes processes are a class of simple point processes whose intensity
depends on the past history, and is in general non-Markovian. Limit theorems
for Hawkes processes in various asymptotic regimes have been studied in the
literature. In this paper, we study a multidimensional nonlinear Hawkes process
in the asymptotic regime when the dimension goes to infinity, whose mean-field
limit is a time-inhomogeneous Poisson process, and our main result is a large
deviation principle for the mean-field limit.
