Danyu Yang

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math.PR2026

Integration of branched rough paths

Xinru Liu, Danyu Yang

When the one-form is $L i p (I^^{3} - 1)$ with $I^^{3} > p \geq 1$ , we construct the integral of a branched $p$ -rough path, which defines another branched $p$ -rough path. We derive a q…

math.PR2024

The Lipschitz continuity of the solution to branched rough differential equations

Jing Zou, Danyu Yang

Based on an isomorphism between Grossman Larson Hopf algebra and Tensor Hopf algebra, we apply a sub-Riemannian geometry technique to branched rough differential equations and obta…