{"status":"public","title":"Entropic Ricci curvature for discrete spaces","quality_controlled":"1","series_title":"Lecture Notes in Mathematics","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2018-12-11T11:47:42Z","oa_version":"None","scopus_import":"1","publisher":"Springer","date_published":"2017-10-05T00:00:00Z","publication_status":"published","abstract":[{"text":"We give a short overview on a recently developed notion of Ricci curvature for discrete spaces. This notion relies on geodesic convexity properties of the relative entropy along geodesics in the space of probability densities, for a metric which is similar to (but different from) the 2-Wasserstein metric. The theory can be considered as a discrete counterpart to the theory of Ricci curvature for geodesic measure spaces developed by Lott–Sturm–Villani.","lang":"eng"}],"department":[{"_id":"JaMa"}],"day":"05","type":"book_chapter","date_updated":"2022-05-24T07:01:33Z","article_processing_charge":"No","month":"10","volume":2184,"publist_id":"7123","intvolume":"      2184","year":"2017","citation":{"short":"J. Maas, in:, L. Najman, P. Romon (Eds.), Modern Approaches to Discrete Curvature, Springer, 2017, pp. 159–174.","apa":"Maas, J. (2017). Entropic Ricci curvature for discrete spaces. In L. Najman &#38; P. Romon (Eds.), <i>Modern Approaches to Discrete Curvature</i> (Vol. 2184, pp. 159–174). Springer. <a href=\"https://doi.org/10.1007/978-3-319-58002-9_5\">https://doi.org/10.1007/978-3-319-58002-9_5</a>","ista":"Maas J. 2017.Entropic Ricci curvature for discrete spaces. In: Modern Approaches to Discrete Curvature. vol. 2184, 159–174.","chicago":"Maas, Jan. “Entropic Ricci Curvature for Discrete Spaces.” In <i>Modern Approaches to Discrete Curvature</i>, edited by Laurent Najman and Pascal Romon, 2184:159–74. Lecture Notes in Mathematics. Springer, 2017. <a href=\"https://doi.org/10.1007/978-3-319-58002-9_5\">https://doi.org/10.1007/978-3-319-58002-9_5</a>.","ama":"Maas J. Entropic Ricci curvature for discrete spaces. In: Najman L, Romon P, eds. <i>Modern Approaches to Discrete Curvature</i>. Vol 2184. Lecture Notes in Mathematics. Springer; 2017:159-174. doi:<a href=\"https://doi.org/10.1007/978-3-319-58002-9_5\">10.1007/978-3-319-58002-9_5</a>","ieee":"J. Maas, “Entropic Ricci curvature for discrete spaces,” in <i>Modern Approaches to Discrete Curvature</i>, vol. 2184, L. Najman and P. Romon, Eds. Springer, 2017, pp. 159–174.","mla":"Maas, Jan. “Entropic Ricci Curvature for Discrete Spaces.” <i>Modern Approaches to Discrete Curvature</i>, edited by Laurent Najman and Pascal Romon, vol. 2184, Springer, 2017, pp. 159–74, doi:<a href=\"https://doi.org/10.1007/978-3-319-58002-9_5\">10.1007/978-3-319-58002-9_5</a>."},"language":[{"iso":"eng"}],"editor":[{"full_name":"Najman, Laurent","last_name":"Najman","first_name":"Laurent"},{"last_name":"Romon","first_name":"Pascal","full_name":"Romon, Pascal"}],"_id":"649","doi":"10.1007/978-3-319-58002-9_5","page":"159 - 174","author":[{"id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","full_name":"Maas, Jan","last_name":"Maas","first_name":"Jan","orcid":"0000-0002-0845-1338"}],"publication":"Modern Approaches to Discrete Curvature","publication_identifier":{"isbn":["978-3-319-58001-2"],"eissn":["978-3-319-58002-9"]}}