{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,16]],"date-time":"2026-02-16T15:59:42Z","timestamp":1771257582359,"version":"3.50.1"},"reference-count":43,"publisher":"IOP Publishing","issue":"10","license":[{"start":{"date-parts":[[2021,9,7]],"date-time":"2021-09-07T00:00:00Z","timestamp":1630972800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2021,9,7]],"date-time":"2021-09-07T00:00:00Z","timestamp":1630972800000},"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":["CEECIND\/03721\/2017"],"award-info":[{"award-number":["CEECIND\/03721\/2017"]}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Nonlinearity"],"published-print":{"date-parts":[[2021,10,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>We establish a sufficient condition for a continuous map, acting on a compact metric space, to have a Baire residual set of points exhibiting historic behavior (also known as irregular points). This criterion applies, for instance, to a minimal and non-uniquely ergodic map; to maps preserving two distinct probability measures with full support; to non-trivial homoclinic classes; to some non-uniformly expanding maps; and to partially hyperbolic diffeomorphisms with two periodic points whose stable manifolds are dense, including Ma\u00f1\u00e9 and Shub examples of robustly transitive non-hyperbolic diffeomorphisms. This way, our unifying approach recovers a collection of known deep theorems on the genericity of the irregular set, for both additive and sub-additive potentials, and also provides a number of new applications.<\/jats:p>","DOI":"10.1088\/1361-6544\/ac1f77","type":"journal-article","created":{"date-parts":[[2021,9,7]],"date-time":"2021-09-07T08:48:32Z","timestamp":1631004512000},"page":"7030-7044","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":10,"title":["Genericity of historic behavior for maps and flows"],"prefix":"10.1088","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6929-6442","authenticated-orcid":false,"given":"Maria","family":"Carvalho","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0902-8718","authenticated-orcid":false,"given":"Paulo","family":"Varandas","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2021,9,7]]},"reference":[{"key":"nonac1f77bib1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11856-011-0041-5","type":"journal-article","article-title":"Non-uniform hyperbolicity for C 1-generic diffeomorphisms","volume":"183","author":"Abdenur","year":"2011","journal-title":"Isr. 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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":"2020-12-18","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2021-08-19","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2021-09-07","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}