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arXiv · 2605.30869

Approximate Transitivity of Young Translation on Rough Paths

Carlo Bellingeri·Paul Gassiat·Hugo Nouaille
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Abstract

We show that Young translation has dense orbits in the space of rough paths: for any two geometric rough paths, one can translate the first by a sequence of smooth paths so that it converges to the second in rough path topology. As applications, we obtain full-support criteria for rough paths arising from random series and Gaussian processes, including non-centered fractional Brownian rough paths.

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Carlo Bellingeri, Paul Gassiat, Hugo Nouaille. 2026-05-29. Approximate Transitivity of Young Translation on Rough Paths. https://arxiv.org/abs/2605.30869

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