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math.PR2026
The -bounds for Derivatives of Unitary Developments of Random Continuous Geometric Rough Paths
Chong Liu, Zijiu Lyu, Hao Ni
In this paper we derive an explicit formula for derivatives of unitary developments of random continuous geometric rough paths of all orders and establish proper -bounds for t…
math.FA2026
Signature inversion of axial linear curves
Chong Liu, Shi Wang
We introduce a signature inversion scheme for -axial linear curves which are widely used in various areas. We show that in the presence of a linear coordinate function, the de…