%0 Journal Article %T Large deviations of Poisson cluster processes %A Charles Bordenave %A Giovanni Luca Torrisi %J Mathematics %D 2007 %I arXiv %X In this paper we prove scalar and sample path large deviation principles for a large class of Poisson cluster processes. As a consequence, we provide a large deviation principle for ergodic Hawkes point processes. %U http://arxiv.org/abs/0704.1463v1