{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T18:53:39Z","timestamp":1763664819703,"version":"3.41.2"},"reference-count":37,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"DOI":"10.13039\/100010097","name":"China Association for Science and Technology","doi-asserted-by":"publisher","award":["NSFC (11871361","11790274)"],"award-info":[{"award-number":["NSFC (11871361","11790274)"]}],"id":[{"id":"10.13039\/100010097","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["CEECIND\/03721\/2017"],"award-info":[{"award-number":["CEECIND\/03721\/2017"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Stoch. Dyn."],"published-print":{"date-parts":[[2023,2]]},"abstract":"<jats:p> The space of asymptotically additive potentials is a Banach space and, identifying any two pairs of sequences in terms of their limiting behavior, the quotient space [Formula: see text] is endowed with a vector space structure. A recent correspondence between additive potentials and classes of asymptotically additive potentials allows us to prove that: (i) the class of asymptotically additive potentials having a unique maximizing measure forms a Baire residual subset of [Formula: see text], (ii) for transitive hyperbolic homeomorphisms with local product structure, the elements in [Formula: see text] for which every maximizing measure has full support form a Baire residual subset of [Formula: see text], and that (iii) for expanding and Anosov maps, the elements in [Formula: see text] whose unique maximizing measure has zero metric entropy form a Baire residual set of [Formula: see text]. Further results stating that the maximizing measure is periodic and a number of applications are also discussed. <\/jats:p>","DOI":"10.1142\/s0219493722500241","type":"journal-article","created":{"date-parts":[[2022,5,5]],"date-time":"2022-05-05T04:27:46Z","timestamp":1651724866000},"source":"Crossref","is-referenced-by-count":2,"title":["Typical properties of ergodic optimization for asymptotically additive potentials"],"prefix":"10.1142","volume":"23","author":[{"given":"Thiago","family":"Bomfim","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, Universidade Federal da Bahia, Av. Ademar de Barros s\/n, 40170-110 Salvador, Brazil"}]},{"given":"Rongrong","family":"Huo","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Soochow University, Suzhou 215006, Jiangsu, P. R. China"},{"name":"Center for Dynamical Systems and Differential Equations, Soochow University, Suzhou, 215006, Jiangsu, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0902-8718","authenticated-orcid":false,"given":"Paulo","family":"Varandas","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Universidade Federal da Bahia, Av. Ademar de Barros s\/n, 40170-110 Salvador, Brazil"},{"name":"Centro de Matem\u00e1tica da Universidade do Porto, University of Porto, Portugal"}]},{"given":"Yun","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Soochow University, Suzhou 215006, Jiangsu, P. R. China"},{"name":"Center for Dynamical Systems and Differential Equations, Soochow University, Suzhou, 215006, Jiangsu, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2022,6,10]]},"reference":[{"key":"S0219493722500241BIB001","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1090\/S0002-9947-09-04922-8","volume":"362","author":"Ban J.","year":"2010","journal-title":"Trans. Amer. Math. Soc."},{"key":"S0219493722500241BIB003","doi-asserted-by":"crossref","first-page":"279","DOI":"10.3934\/dcds.2006.16.279","volume":"16","author":"Barreira L.","year":"2006","journal-title":"Discrete Contin. Dyn. Syst."},{"key":"S0219493722500241BIB004","doi-asserted-by":"crossref","first-page":"392","DOI":"10.1016\/j.jde.2021.05.030","volume":"293","author":"Bessa M.","year":"2021","journal-title":"J. Differential Equations"},{"key":"S0219493722500241BIB005","series-title":"Invited Lectures","first-page":"1825","volume-title":"Proc. Int. Cong. Mathematicians","author":"Bochi J.","year":"2018"},{"key":"S0219493722500241BIB006","doi-asserted-by":"crossref","first-page":"5988","DOI":"10.1093\/imrn\/rnv340","volume":"19","author":"Bochi J.","year":"2016","journal-title":"Int. Math. Res. Not."},{"key":"S0219493722500241BIB007","doi-asserted-by":"crossref","first-page":"3563","DOI":"10.1088\/0951-7715\/28\/10\/3563","volume":"28","author":"Bomfim T.","year":"2015","journal-title":"Nonlinearity"},{"key":"S0219493722500241BIB008","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1016\/S0012-9593(00)01062-4","volume":"34","author":"Bousch T.","year":"2001","journal-title":"Ann. Scient. \u00c9c. Norm. Sup."},{"key":"S0219493722500241BIB009","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1007\/s002220100194","volume":"148","author":"Bousch T.","year":"2002","journal-title":"Invent. Math."},{"key":"S0219493722500241BIB010","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1090\/S0894-0347-01-00378-2","volume":"15","author":"Bousch T.","year":"2002","journal-title":"J. Amer. Math. Soc."},{"key":"S0219493722500241BIB011","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1088\/0951-7715\/16\/2\/303","volume":"16","author":"Br\u00e9mont J.","year":"2003","journal-title":"Nonlinearity"},{"key":"S0219493722500241BIB012","first-page":"199","volume":"346","author":"Br\u00e9mont J.","year":"2008","journal-title":"C. R. Math. Acad. Sci. S\u00e9r. I"},{"key":"S0219493722500241BIB013","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1007\/s00222-015-0638-0","volume":"205","author":"Contreras G.","year":"2016","journal-title":"Invent. Math."},{"key":"S0219493722500241BIB014","doi-asserted-by":"crossref","first-page":"1379","DOI":"10.1017\/S0143385701001663","volume":"21","author":"Contreras G.","year":"2001","journal-title":"Ergodic Theory Dynam. Syst."},{"key":"S0219493722500241BIB015","doi-asserted-by":"crossref","first-page":"2579","DOI":"10.1007\/s00220-020-03780-7","volume":"377","author":"Cuneo N.","year":"2020","journal-title":"Comm. Math. Phys."},{"key":"S0219493722500241BIB016","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00220-010-1031-x","volume":"297","author":"Feng D.","year":"2010","journal-title":"Comm. Math. Phys."},{"key":"S0219493722500241BIB017","doi-asserted-by":"crossref","first-page":"699","DOI":"10.3934\/dcds.2011.30.699","volume":"30","author":"Feng D.","year":"2011","journal-title":"Discrete Contin. Dyn. Syst."},{"key":"S0219493722500241BIB018","doi-asserted-by":"crossref","unstructured":"E. Garibaldi,  Ergodic Optimization in the Expanding Case: Concepts, Tools and Applications,  Springer Briefs in Mathematics  (Springer, 2017),  viii+73 pp.","DOI":"10.1007\/978-3-319-66643-3"},{"key":"S0219493722500241BIB019","first-page":"1660009.1","volume":"16","author":"Garibaldi E.","year":"2016","journal-title":"Stochast. Dynam."},{"key":"S0219493722500241BIB020","doi-asserted-by":"crossref","first-page":"2315","DOI":"10.3934\/dcds.2020115","volume":"40","author":"Garibaldi E.","year":"2020","journal-title":"Discrete Contin. Dyn. Syst."},{"key":"S0219493722500241BIB023","doi-asserted-by":"crossref","first-page":"2254","DOI":"10.1103\/PhysRevLett.76.2254","volume":"76","author":"Hunt B.","year":"1996","journal-title":"Phys. Rev. Lett."},{"key":"S0219493722500241BIB024","doi-asserted-by":"crossref","first-page":"328","DOI":"10.1103\/PhysRevE.54.328","volume":"54","author":"Hunt B.","year":"1996","journal-title":"Phys. Rev. E"},{"key":"S0219493722500241BIB025","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1090\/S0273-0979-1992-00328-2","volume":"27","author":"Hunt B.","year":"1992","journal-title":"Bull. Amer. Math. Soc. (N.S.)"},{"key":"S0219493722500241BIB026","doi-asserted-by":"crossref","first-page":"197","DOI":"10.3934\/dcds.2006.15.197","volume":"15","author":"Jenkinson O.","year":"2006","journal-title":"Discrete Contin. Dyn. Syst."},{"key":"S0219493722500241BIB027","doi-asserted-by":"crossref","first-page":"2593","DOI":"10.1017\/etds.2017.142","volume":"39","author":"Jenkinson O.","year":"2019","journal-title":"Ergodic Theory Dynam. Syst."},{"key":"S0219493722500241BIB028","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511809187","volume-title":"Introduction to the Modern Theory of Dynamical Systems","author":"Katok A.","year":"1995"},{"key":"S0219493722500241BIB029","doi-asserted-by":"crossref","first-page":"993","DOI":"10.1088\/0951-7715\/21\/5\/005","volume":"21","author":"Morris I.","year":"2008","journal-title":"Nonlinearity"},{"key":"S0219493722500241BIB030","doi-asserted-by":"crossref","first-page":"1603","DOI":"10.1017\/S0143385708000837","volume":"29","author":"Morris I.","year":"2009","journal-title":"Ergodic Theory Dynam. Syst."},{"key":"S0219493722500241BIB031","doi-asserted-by":"crossref","first-page":"383","DOI":"10.3934\/dcds.2010.27.383","volume":"27","author":"Morris I.","year":"2010","journal-title":"Discrete Contin. Dyn. Syst."},{"key":"S0219493722500241BIB032","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1112\/plms\/pds080","volume":"107","author":"Morris I.","year":"2013","journal-title":"Proc. Lond. Math. Soc."},{"key":"S0219493722500241BIB033","doi-asserted-by":"crossref","first-page":"1631","DOI":"10.1090\/proc\/15334","volume":"149","author":"Morris I.","year":"2021","journal-title":"Proc. Amer. Math. Soc."},{"issue":"10","key":"S0219493722500241BIB034","doi-asserted-by":"crossref","first-page":"3253","DOI":"10.1007\/s00023-020-00948-8","volume":"21","author":"Morro M.","year":"2020","journal-title":"Ann. Henri Poincar\u00e9"},{"volume-title":"Functional Analysis","year":"1973","author":"Rudin W.","key":"S0219493722500241BIB035"},{"key":"S0219493722500241BIB036","series-title":"Encyclopedia of Mathematics and its Application","volume-title":"Thermodynamic Formalism","volume":"5","author":"Ruelle D.","year":"1978"},{"key":"S0219493722500241BIB037","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-5775-2","volume-title":"An Introduction to Ergodic Theory","author":"Walters P.","year":"1982"},{"key":"S0219493722500241BIB038","first-page":"525","volume":"318","author":"Young L.-S.","year":"1990","journal-title":"Trans. Amer. Math. Soc."},{"key":"S0219493722500241BIB039","doi-asserted-by":"crossref","first-page":"1207","DOI":"10.1088\/0951-7715\/12\/4\/325","volume":"12","author":"Yuan G.","year":"1999","journal-title":"Nonlinearity"},{"key":"S0219493722500241BIB040","doi-asserted-by":"crossref","first-page":"612","DOI":"10.1016\/j.jmaa.2019.01.065","volume":"474","author":"Zhao Y.","year":"2019","journal-title":"J. Math. Anal. Appl."}],"container-title":["Stochastics and Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219493722500241","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,28]],"date-time":"2023-03-28T07:48:42Z","timestamp":1679989722000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0219493722500241"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6,10]]},"references-count":37,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2023,2]]}},"alternative-id":["10.1142\/S0219493722500241"],"URL":"https:\/\/doi.org\/10.1142\/s0219493722500241","relation":{},"ISSN":["0219-4937","1793-6799"],"issn-type":[{"type":"print","value":"0219-4937"},{"type":"electronic","value":"1793-6799"}],"subject":[],"published":{"date-parts":[[2022,6,10]]},"article-number":"2250024"}}