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Two examples of non strictly convex large deviations

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. For one of these examples, we show that the rate function of the Cramer-type of large deviations coincides with that of the Freidlin-Wentzell when contraction principles are applied.

preprint2016arXivOpen access
Stefano De MarcoAntoine JacquierPatrick Roome
math.PR
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Stefano De MarcoAntoine JacquierPatrick Roome

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