2 papers
math.DG2026
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…
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…