13 citations · 63 across the 22 of their papers we have counts for
4 papers · 1 filter
Simple Piecewise Geodesic Interpolation of Simple and Jordan Curves with Applications
Horatio Boedihardjo, Xi Geng
We explicitly construct simple, piecewise minimizing geodesic, arbitrarily fine interpolation of simple and Jordan curves on a Riemannian manifold. In particular, a finite sequence…
Quasi-sure Existence of Gaussian Rough Paths and Large Deviation Principles for Capacities
Horatio Boedihardjo, Xi Geng, Zhongmin Qian
We construct a quasi-sure version (in the sense of Malliavin) of geometric rough paths associated with a Gaussian process with long-time memory. As an application we establish a la…
Expected signature of Gaussian processes with strictly regular kernels
H. Boedihardjo, A. Papavasiliou, Z. Qian
We compute the expected signature of a class of Gaussian processes which is a subclass of the Gaussian processes with regular kernels, in the sense of Alos, Mazet and Nualart.
Uniqueness of signature for simple curves
H. Boedihardjo, H. Ni, Z. Qian
We propose a topological approach to the problem of determining a curve from its iterated integrals. In particular, we prove that a family of terms in the signature series of a two…