We present two examples of a large deviations principle where the rate function is not strictly convex. This is motivated by a model used in mathematical finance (the Heston model), and adds a new item to the zoology of non strictly convex large deviations.
"Two examples of non strictly convex large deviations." Electron. Commun. Probab. 21 1 - 12, 2016. https://doi.org/10.1214/16-ECP4088