Matteo Picco

A Dacorogna-Moser construction of transport maps on $\mathbb{R}^d$ with application to geodesics on the space of couplings

A seminal work by Dacorogna and Moser introduced a way of constructing regular transport maps from a probability distribution on a bounded domain to another one. In this work, we extend this construction to the whole $\mathbb{R}^d$ for strictly asymptotically log-concave measures, a wide class of distributions that enc...