2 papers
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…
math.DG2024
Average signature of geodesic paths in compact Lie groups
Chong Liu, Shi Wang
For any compact connected Lie group , we introduce a novel notion of average signature valued in its tensor Lie algebra, by taking the average value of the signat…