{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,4]],"date-time":"2025-04-04T04:24:28Z","timestamp":1743740668282,"version":"3.40.3"},"reference-count":23,"publisher":"IOP Publishing","issue":"4","license":[{"start":{"date-parts":[[2025,3,20]],"date-time":"2025-03-20T00:00:00Z","timestamp":1742428800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2025,3,20]],"date-time":"2025-03-20T00:00:00Z","timestamp":1742428800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","award":["UI\/BD\/152212\/2021"],"award-info":[{"award-number":["UI\/BD\/152212\/2021"]}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Nonlinearity"],"published-print":{"date-parts":[[2025,4,30]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We investigate the metric mean dimension of subshifts of compact type. We prove that the metric mean dimensions of a continuous map and its inverse limit coincide, generalizing Bowen\u2019s entropy formula. Building upon this result, we extend the notion of metric mean dimension to discontinuous maps in terms of suitable subshifts. As an application, we show that the metric mean dimension of the Gauss map and that of induced maps of the Manneville\u2013Pomeau family is equal to the box dimension of the corresponding set of discontinuity points, which also coincides with a critical parameter of the pressure operator associated to the geometric potential.<\/jats:p>","DOI":"10.1088\/1361-6544\/adbe20","type":"journal-article","created":{"date-parts":[[2025,3,20]],"date-time":"2025-03-20T12:19:26Z","timestamp":1742473166000},"page":"045018","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Metric mean dimension via subshifts of compact type"],"prefix":"10.1088","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3789-256X","authenticated-orcid":true,"given":"Gustavo","family":"Pessil","sequence":"first","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2025,3,20]]},"reference":[{"year":"2020","author":"Alves","key":"nonadbe20bib1"},{"key":"nonadbe20bib2","first-page":"pp 23","article-title":"Topological entropy and axiom A","author":"Bowen","year":"1970"},{"key":"nonadbe20bib3","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1007\/s11856-023-2493-9","article-title":"Mean dimension of continuous cellular automata","volume":"259","author":"Burguet","year":"2024","journal-title":"Isr. 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Published by IOP Publishing Ltd and the London Mathematical Society.","name":"copyright_information","label":"Copyright Information"},{"value":"2024-07-17","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2025-03-07","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2025-03-20","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}