{"ID":2842376,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.10498","arxiv_id":"2511.10498","title":"Time-periodic branched transport","abstract":"We develop a new framework for branched transport between probability measures which are allowed to vary in time. This framework can be used to model problems where the underlying transportation network displays a branched structure, but the source and target mass distributions can change cyclically over time, such as road networks or circulatory systems. We introduce the notion of time-dependent transport paths along with associated energies and distances, and prove existence of transport paths whose energy achieves the distance. We also show the time-dependent transport yields a metric structure on subsets of appropriately defined measure-valued Sobolev spaces.","short_abstract":"We develop a new framework for branched transport between probability measures which are allowed to vary in time. This framework can be used to model problems where the underlying transportation network displays a branched structure, but the source and target mass distributions can change cyclically over time, such as...","url_abs":"https://arxiv.org/abs/2511.10498","url_pdf":"https://arxiv.org/pdf/2511.10498v2","authors":"[\"Jun Kitagawa\",\"Cecilia Mikat\"]","published":"2025-11-13T17:02:28Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"math.MG\"]","methods":"[]","has_code":false}