Description
Decay rate of logarithmic signature
It was conjectured by T. Lyons and N. Sidorova that, with the exceptions of straight lines, the logarithmic signatures of tree-reduced bounded variation paths have infinite radius of convergence. This conjecture was confirmed in the same work for certain types of paths and the general BV case remains unsolved.
In this talk, we develop a deeper understanding towards the Lyons-Sidorova conjecture. Joint work with Xi Geng and Sheng Wang.