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Hermite processes are a class of self-similar processes with stationaryincrements. They often arise in limit theorems under long-range dependence. Wederive new representations of Hermite processes with multiple Wiener-It\^ointegrals, whose integrands involve the local time of intersecting stationarystable regenerative sets. The proof relies on an approximation of regenerativesets and local times based on a scheme of random interval covering.

Representations of Hermite processes using local time of intersecting stationary stable regenerative sets