{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,29]],"date-time":"2025-11-29T14:19:30Z","timestamp":1764425970415,"version":"3.46.0"},"reference-count":25,"publisher":"IOP Publishing","issue":"6","license":[{"start":{"date-parts":[[2021,6,21]],"date-time":"2021-06-21T00:00:00Z","timestamp":1624233600000},"content-version":"vor","delay-in-days":20,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2021,6,21]],"date-time":"2021-06-21T00:00:00Z","timestamp":1624233600000},"content-version":"tdm","delay-in-days":20,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"name":"FCT\/Portugal","award":["UID\/MAT\/04459\/2019 grant PD\/BD\/135523\/2018"],"award-info":[{"award-number":["UID\/MAT\/04459\/2019 grant PD\/BD\/135523\/2018"]}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Nonlinearity"],"published-print":{"date-parts":[[2021,6,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    Building on the construction of equilibrium measures, we establish a conditional variational principle for the multifractal spectra of an almost additive family with respect to a continuous flow \u03a6 such that the entropy map\n                    <jats:italic>\u03bc<\/jats:italic>\n                    \u21a6\n                    <jats:italic>h<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>\u03bc<\/jats:italic>\n                    <\/jats:sub>\n                    (\u03a6) is upper-semicontinuous. We also show that the spectrum is continuous and that in the case of hyperbolic flows the corresponding irregular sets have full topological entropy. More generally, we consider the spectrum for the\n                    <jats:italic>u<\/jats:italic>\n                    -dimension and obtain corresponding results.\n                  <\/jats:p>","DOI":"10.1088\/1361-6544\/abf8f9","type":"journal-article","created":{"date-parts":[[2021,6,23]],"date-time":"2021-06-23T04:04:58Z","timestamp":1624421098000},"page":"4283-4314","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":4,"title":["Almost additive multifractal analysis for flows\n                    <sup>*<\/sup>"],"prefix":"10.1088","volume":"34","author":[{"given":"Luis","family":"Barreira","sequence":"first","affiliation":[]},{"given":"Carllos","family":"Holanda","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2021,6,21]]},"reference":[{"key":"nonabf8f9bib1","doi-asserted-by":"publisher","first-page":"263","DOI":"10.3934\/dcds.2003.9.263","type":"journal-article","article-title":"Pointwise dimensions for Poincar\u00e9 recurrences associated with maps and special flows","volume":"9","author":"Afraimovich","year":"2003","journal-title":"Discrete Continuous Dyn. 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All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2020-07-02","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2021-04-16","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2021-06-21","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}