{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T13:06:42Z","timestamp":1762952802378,"version":"3.45.0"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Fractal Geom."],"accepted":{"date-parts":[[2025,4,11]]},"published-print":{"date-parts":[[2025,5,28]]},"abstract":"<jats:p>\n                    This article presents the construction of a non-affine hypersurface on an\n                    <jats:inline-formula>\n                      <jats:tex-math>n<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    -simplex in\n                    <jats:inline-formula>\n                      <jats:tex-math>\\mathbb{R}^{n}<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    . Additionally, fractal dimension of the graph of a non-affine multivariate real-valued fractal function is estimated under certain conditions. Furthermore, the upper bound of the Hausdorff dimension of the invariant probability measure supported on the graph of such fractal function is estimated.\n                  <\/jats:p>","DOI":"10.4171\/jfg\/166","type":"journal-article","created":{"date-parts":[[2025,5,28]],"date-time":"2025-05-28T07:36:36Z","timestamp":1748417796000},"page":"395-415","source":"Crossref","is-referenced-by-count":0,"title":["Non-affine fractal hypersurfaces: construction and dimensions"],"prefix":"10.4171","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0009-0005-7610-2710","authenticated-orcid":false,"given":"Alamgir","family":"Hossain","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/04xgbph11","id-type":"ROR","asserted-by":"publisher"}],"name":"Presidency University, Kolkata, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5444-5089","authenticated-orcid":false,"given":"Jorge","family":"Buescu","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01c27hj86","id-type":"ROR","asserted-by":"publisher"}],"name":"Faculdade de Ci\u00eancias da Universidade de Lisboa and CEMS.UL - Center for Mathematical Studies, Portugal"}]}],"member":"2673","container-title":["Journal of Fractal Geometry, Mathematics of Fractals and Related Topics"],"original-title":[],"deposited":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T13:01:37Z","timestamp":1762952497000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/jfg\/166"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,28]]},"references-count":0,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.4171\/jfg\/166","relation":{},"ISSN":["2308-1309","2308-1317"],"issn-type":[{"type":"print","value":"2308-1309"},{"type":"electronic","value":"2308-1317"}],"subject":[],"published":{"date-parts":[[2025,5,28]]}}}