[{"publication_status":"published","day":"01","publication":"SIAM Journal on Mathematical Analysis","dc":{"identifier":["https://research-explorer.ista.ac.at/record/2129"],"description":["This paper continues the investigation of `Wasserstein-like' transportation distances for probability measures on discrete sets. We prove that the discrete transportation metrics on the d-dimensional discrete torus with mesh size 1/N converge, when N→∞, to the standard 2-Wasserstein distance W_2 on the continuous torus in the sense of Gromov-Hausdorff. This is the first convergence result for the recently developed discrete transportation metrics. The result shows the compatibility between these metrics and the well-established 2-Wasserstein metric. \n\n\n"],"source":["Gigli N, Maas J. Gromov-Hausdorff convergence of discrete transportation metrics. SIAM Journal on Mathematical Analysis. 2013;45(2):879-899. doi:10.1137/120886315 "],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1137/120886315 "],"publisher":["Society for Industrial and Applied Mathematics "],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"date":["2013"],"rights":["info:eu-repo/semantics/openAccess"],"creator":["Gigli, Nicola","Jan Maas"],"title":["Gromov-Hausdorff convergence of discrete transportation metrics"]},"uri_base":"https://research-explorer.ista.ac.at","page":"879 - 899","date_published":"2013-01-01T00:00:00Z","issue":"2","volume":45,"date_created":"2018-12-11T11:55:53Z","abstract":[{"lang":"eng"}],"acknowledgement":"JM acknowledges support by Rubicon subsidy 680-50-0901 of the Netherlands Organisation for Scientific Research (NWO).","quality_controlled":0,"oa":1,"main_file_link":[{"url":"http://arxiv.org/abs/1207.6501","open_access":"1"}],"month":"01","intvolume":" 45","citation":{"mla":"Gigli, Nicola, and Jan Maas. “Gromov-Hausdorff Convergence of Discrete Transportation Metrics.” SIAM Journal on Mathematical Analysis, vol. 45, no. 2, Society for Industrial and Applied Mathematics , 2013, pp. 879–99, doi:10.1137/120886315 .","short":"N. Gigli, J. Maas, SIAM Journal on Mathematical Analysis 45 (2013) 879–899.","ieee":"N. Gigli and J. Maas, “Gromov-Hausdorff convergence of discrete transportation metrics,” SIAM Journal on Mathematical Analysis, vol. 45, no. 2. Society for Industrial and Applied Mathematics , pp. 879–899, 2013.","apa":"Gigli, N., & Maas, J. (2013). Gromov-Hausdorff convergence of discrete transportation metrics. SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics . https://doi.org/10.1137/120886315 ","chicago":"Gigli, Nicola, and Jan Maas. “Gromov-Hausdorff Convergence of Discrete Transportation Metrics.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics , 2013. https://doi.org/10.1137/120886315 .","ista":"Gigli N, Maas J. 2013. Gromov-Hausdorff convergence of discrete transportation metrics. SIAM Journal on Mathematical Analysis. 45(2), 879–899."},"dini_type":"doc-type:article","date_updated":"2021-01-12T06:55:29Z","extern":1,"publist_id":"4904","author":[{"first_name":"Nicola","last_name":"Gigli"},{"orcid":"0000-0002-0845-1338","last_name":"Maas","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","first_name":"Jan"}],"_id":"2129","type":"journal_article","status":"public"}]