Analysis Seminar

On a time-dependent version of branched transport Abstract: The branched transport problem is an optimization problem involving transporting of one probability measure to another. In optimal trajectories, mass is gathered from source locations to be transported in bulk, then distributed once close to target locations. This differs strongly from the more popular Monge-Kantorovich problem, where transport tends to occur along geodesics. The branched model is more suitable for modeling biological or logistical models (such as circulatory systems in animals and plants, or road networks). In this talk, we discuss a version of the branched transport problem where the source and target distributions are allowed to vary with time. This talk is based on joint work with Cecilia Mikat.