---
_id: '649'
abstract:
- lang: eng
  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.
article_processing_charge: No
author:
- first_name: Jan
  full_name: Maas, Jan
  id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
  last_name: Maas
  orcid: 0000-0002-0845-1338
citation:
  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>'
  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>
  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>.
  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.
  ista: 'Maas J. 2017.Entropic Ricci curvature for discrete spaces. In: Modern Approaches
    to Discrete Curvature. vol. 2184, 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>.
  short: J. Maas, in:, L. Najman, P. Romon (Eds.), Modern Approaches to Discrete Curvature,
    Springer, 2017, pp. 159–174.
date_created: 2018-12-11T11:47:42Z
date_published: 2017-10-05T00:00:00Z
date_updated: 2022-05-24T07:01:33Z
day: '05'
department:
- _id: JaMa
doi: 10.1007/978-3-319-58002-9_5
editor:
- first_name: Laurent
  full_name: Najman, Laurent
  last_name: Najman
- first_name: Pascal
  full_name: Romon, Pascal
  last_name: Romon
intvolume: '      2184'
language:
- iso: eng
month: '10'
oa_version: None
page: 159 - 174
publication: Modern Approaches to Discrete Curvature
publication_identifier:
  eissn:
  - 978-3-319-58002-9
  isbn:
  - 978-3-319-58001-2
publication_status: published
publisher: Springer
publist_id: '7123'
quality_controlled: '1'
scopus_import: '1'
series_title: Lecture Notes in Mathematics
status: public
title: Entropic Ricci curvature for discrete spaces
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2184
year: '2017'
...