{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T02:07:13Z","timestamp":1772849233016,"version":"3.50.1"},"reference-count":27,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2018,2,3]],"date-time":"2018-02-03T00:00:00Z","timestamp":1517616000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Education, Youth and Sports of the Czech Republic","award":["CENAKVA CZ.1.05\/2.1.00\/01.0024"],"award-info":[{"award-number":["CENAKVA CZ.1.05\/2.1.00\/01.0024"]}]},{"name":"Ministry of Education, Youth and Sports of the Czech Republic","award":["CENAKVA II (No. LO1205)"],"award-info":[{"award-number":["CENAKVA II (No. LO1205)"]}]},{"name":"Ministry of Education, Youth and Sports of the Czech Republic","award":["CENAKVA Centre Development (No. CZ.1.05\/2.1.00\/19.0380)"],"award-info":[{"award-number":["CENAKVA Centre Development (No. CZ.1.05\/2.1.00\/19.0380)"]}]},{"DOI":"10.13039\/501100008530","name":"European Regional Development Fund","doi-asserted-by":"publisher","award":["ATCZ133"],"award-info":[{"award-number":["ATCZ133"]}],"id":[{"id":"10.13039\/501100008530","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001824","name":"Czech Science Foundation","doi-asserted-by":"publisher","award":["17-33812L"],"award-info":[{"award-number":["17-33812L"]}],"id":[{"id":"10.13039\/501100001824","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002428","name":"Austrian Science Fund","doi-asserted-by":"publisher","award":["I 3073-N32"],"award-info":[{"award-number":["I 3073-N32"]}],"id":[{"id":"10.13039\/501100002428","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We introduce novel information-entropic variables\u2014a Point Divergence Gain (    \u03a9 \u03b1  ( l \u2192 m )     ), a Point Divergence Gain Entropy (    I \u03b1    ), and a Point Divergence Gain Entropy Density (    P \u03b1    )\u2014which are derived from the R\u00e9nyi entropy and describe spatio-temporal changes between two consecutive discrete multidimensional distributions. The behavior of     \u03a9 \u03b1  ( l \u2192 m )      is simulated for typical distributions and, together with     I \u03b1     and     P \u03b1    , applied in analysis and characterization of series of multidimensional datasets of computer-based and real images.<\/jats:p>","DOI":"10.3390\/e20020106","type":"journal-article","created":{"date-parts":[[2018,2,5]],"date-time":"2018-02-05T04:29:42Z","timestamp":1517804982000},"page":"106","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Point Divergence Gain and Multidimensional Data Sequences Analysis"],"prefix":"10.3390","volume":"20","author":[{"given":"Renata","family":"Rycht\u00e1rikov\u00e1","sequence":"first","affiliation":[{"name":"Institute of Complex Systems, South Bohemian Research Center of Aquaculture and Biodiversity of Hydrocenoses, Kompetenzzentrum MechanoBiologie in Regenerativer Medizin, Faculty of Fisheries and Protection of Waters, University of South Bohemia in \u010cesk\u00e9 Bud\u011bjovice, Z\u00e1mek 136, 373 33 Nov\u00e9 Hrady, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5371-5320","authenticated-orcid":false,"given":"Jan","family":"Korbel","sequence":"additional","affiliation":[{"name":"Section for Science of Complex Systems, CeMSIIS, Medical University of Vienna, Spitalgasse 23, 1090 Vienna, Austria"},{"name":"Complexity Science Hub Vienna, Josefst\u00e4dter Strasse 39, 1080 Vienna, Austria"},{"name":"Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, B\u0159ehov\u00e1 7, 115 19 Prague, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Petr","family":"Mach\u00e1\u010dek","sequence":"additional","affiliation":[{"name":"Institute of Complex Systems, South Bohemian Research Center of Aquaculture and Biodiversity of Hydrocenoses, Kompetenzzentrum MechanoBiologie in Regenerativer Medizin, Faculty of Fisheries and Protection of Waters, University of South Bohemia in \u010cesk\u00e9 Bud\u011bjovice, Z\u00e1mek 136, 373 33 Nov\u00e9 Hrady, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dalibor","family":"\u0160tys","sequence":"additional","affiliation":[{"name":"Institute of Complex Systems, South Bohemian Research Center of Aquaculture and Biodiversity of Hydrocenoses, Kompetenzzentrum MechanoBiologie in Regenerativer Medizin, Faculty of Fisheries and Protection of Waters, University of South Bohemia in \u010cesk\u00e9 Bud\u011bjovice, Z\u00e1mek 136, 373 33 Nov\u00e9 Hrady, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,2,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Ortu\u00f1o, F., and Rojas, I. 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