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Higher-order variation and pathwise Ito calculus on manifolds

math.PR · 2026-08-12 · accept · novelty 7.0

A pathwise change-of-variable formula on manifolds for paths with finite p-th variation, with the p-th variation tensor as correction term, extending Föllmer's calculus to arbitrary order and to curved spaces.

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  • Higher-order variation and pathwise Ito calculus on manifolds math.PR · 2026-08-12 · accept · none · ref 12

    A pathwise change-of-variable formula on manifolds for paths with finite p-th variation, with the p-th variation tensor as correction term, extending Föllmer's calculus to arbitrary order and to curved spaces.