{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T04:42:54Z","timestamp":1743136974239,"version":"3.40.3"},"publisher-location":"Cham","reference-count":13,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030802080"},{"type":"electronic","value":"9783030802097"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-80209-7_95","type":"book-chapter","created":{"date-parts":[[2021,7,14]],"date-time":"2021-07-14T00:02:40Z","timestamp":1626220960000},"page":"891-899","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Schr\u00f6dinger Problem for Lattice Gases: A\u00a0Heuristic Point of View"],"prefix":"10.1007","author":[{"given":"Alberto","family":"Chiarini","sequence":"first","affiliation":[]},{"given":"Giovanni","family":"Conforti","sequence":"additional","affiliation":[]},{"given":"Luca","family":"Tamanini","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,7,14]]},"reference":[{"key":"95_CR1","doi-asserted-by":"publisher","first-page":"475","DOI":"10.1007\/s00440-020-00977-8","volume":"178","author":"J Backhoff","year":"2020","unstructured":"Backhoff, J., Conforti, G., Gentil, I., L\u00e9onard, C.: The mean field Schr\u00f6dinger problem: ergodic behavior, entropy estimates and functional inequalities. Prob. Theory Relat. Fields 178, 475\u2013530 (2020). https:\/\/doi.org\/10.1007\/s00440-020-00977-8","journal-title":"Prob. Theory Relat. Fields"},{"issue":"2","key":"95_CR2","doi-asserted-by":"publisher","first-page":"593","DOI":"10.1103\/RevModPhys.87.593","volume":"87","author":"L Bertini","year":"2015","unstructured":"Bertini, L., De Sole, A., Gabrielli, D., Jona-Lasinio, G., Landim, C.: Macroscopic fluctuation theory. Rev. Mod. Phys. 87(2), 593 (2015)","journal-title":"Rev. Mod. Phys."},{"issue":"4","key":"95_CR3","doi-asserted-by":"publisher","first-page":"1273","DOI":"10.1016\/j.jfa.2009.10.016","volume":"258","author":"JA Carrillo","year":"2010","unstructured":"Carrillo, J.A., Lisini, S., Savar\u00e9, G., Slep\u010dev, D.: Nonlinear mobility continuity equations and generalized displacement convexity. J. Funct. Anal. 258(4), 1273\u20131309 (2010)","journal-title":"J. Funct. Anal."},{"key":"95_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00440-018-0856-7","volume":"174","author":"G Conforti","year":"2018","unstructured":"Conforti, G.: A second order equation for Schr\u00f6dinger bridges with applications to the hot gas experiment and entropic transportation cost. Prob. Theory Relat. Fields 174, 1\u201347 (2018). https:\/\/doi.org\/10.1007\/s00440-018-0856-7","journal-title":"Prob. Theory Relat. Fields"},{"issue":"11","key":"95_CR5","doi-asserted-by":"publisher","first-page":"108964","DOI":"10.1016\/j.jfa.2021.108964","volume":"280","author":"G Conforti","year":"2021","unstructured":"Conforti, G., Tamanini, L.: A formula for the time derivative of the entropic cost and applications. J. Funct. Anal. 280(11), 108964 (2021)","journal-title":"J. Funct. Anal."},{"issue":"3","key":"95_CR6","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1002\/cpa.3160420303","volume":"42","author":"MD Donsker","year":"1989","unstructured":"Donsker, M.D., Varadhan, S.R.S.: Large deviations from a hydrodynamic scaling limit. Commun. Pure Appl. Math. 42(3), 243\u2013270 (1989)","journal-title":"Commun. Pure Appl. Math."},{"unstructured":"Gentil, I., L\u00e9onard, C., Ripani, L.: Dynamical aspects of generalized Schr\u00f6dinger problem via otto calculus-a heuristic point of view (2018). To appear in Rev. Mat. Iberoam","key":"95_CR7"},{"issue":"2","key":"95_CR8","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1002\/cpa.3160420202","volume":"42","author":"C Kipnis","year":"1989","unstructured":"Kipnis, C., Olla, S., Varadhan, S.R.S.: Hydrodynamics and large deviation for simple exclusion processes. Commun. Pure Appl. Math. 42(2), 115\u2013137 (1989)","journal-title":"Commun. Pure Appl. Math."},{"key":"95_CR9","doi-asserted-by":"publisher","first-page":"788","DOI":"10.1016\/j.jde.2020.10.029","volume":"274","author":"F L\u00e9ger","year":"2021","unstructured":"L\u00e9ger, F., Li, W.: Hopf Cole transformation via generalized Schr\u00f6dinger bridge problem. J. Differ. Equ. 274, 788\u2013827 (2021)","journal-title":"J. Differ. Equ."},{"doi-asserted-by":"crossref","unstructured":"L\u00e9onard, C.: On the convexity of the entropy along entropic interpolations. In: Measure Theory in Non-Smooth Spaces, pp. 194\u2013242. Sciendo Migration (2017)","key":"95_CR10","DOI":"10.1515\/9783110550832-006"},{"issue":"1","key":"95_CR11","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1006\/aima.1997.1634","volume":"128","author":"R McCann","year":"1997","unstructured":"McCann, R.: A convexity principle for interacting gases. Adv. Math. 128(1), 153\u2013179 (1997)","journal-title":"Adv. Math."},{"unstructured":"Monsaingeon, L., Tamanini, L., Vorotnikov, D.: The dynamical Schr\u00f6dinger problem in abstract metric spaces. Preprint at arXiv:2012.12005 (2020)","key":"95_CR12"},{"issue":"2","key":"95_CR13","doi-asserted-by":"publisher","first-page":"361","DOI":"10.1006\/jfan.1999.3557","volume":"173","author":"F Otto","year":"2000","unstructured":"Otto, F., Villani, C.: Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. J. Funct. Anal. 173(2), 361\u2013400 (2000)","journal-title":"J. Funct. Anal."}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-80209-7_95","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,14]],"date-time":"2021-07-14T00:13:04Z","timestamp":1626221584000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-80209-7_95"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030802080","9783030802097"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-80209-7_95","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"14 July 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"GSI","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Geometric Science of Information","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Paris","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"France","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21 July 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"23 July 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"5","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"gsi2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.see.asso.fr\/en\/GSI2021?screen_check=done&Width=1280&Height=720","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"125","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"98","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"78% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"The conference was held virtually.","order":10,"name":"additional_info_on_review_process","label":"Additional Info on Review Process","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}