{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T13:05:56Z","timestamp":1762952756358,"version":"3.45.0"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Fractal Geom."],"accepted":{"date-parts":[[2017,3,26]]},"published-print":{"date-parts":[[2018,7,26]]},"abstract":"<jats:p>We determine the walk dimension of the Sierpi\u0144ski gasket without using diffusion. We construct non-local regular Dirichlet forms on the Sierpi\u0144ski gasket from regular Dirichlet forms on the Sierpi\u0144ski graph whose suitable boundary is the Sierpi\u0144ski gasket.<\/jats:p>","DOI":"10.4171\/jfg\/66","type":"journal-article","created":{"date-parts":[[2018,7,26]],"date-time":"2018-07-26T17:30:12Z","timestamp":1532626212000},"page":"419-460","source":"Crossref","is-referenced-by-count":5,"title":["Determination of the walk dimension of the Sierpi\u0144ski gasket without using diffusion"],"prefix":"10.4171","volume":"5","author":[{"given":"Alexander","family":"Grigor'yan","sequence":"first","affiliation":[{"name":"Universit\u00e4t Bielefeld, Germany"}]},{"given":"Meng","family":"Yang","sequence":"additional","affiliation":[{"name":"Universit\u00e4t Bielefeld, Germany and Tsinghua University, Beijing, China"}]}],"member":"2673","container-title":["Journal of Fractal Geometry, Mathematics of Fractals and Related Topics"],"original-title":[],"link":[{"URL":"http:\/\/www.ems-ph.org\/fulltext\/10.4171\/JFG\/66","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T13:01:05Z","timestamp":1762952465000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/jfg\/66"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,7,26]]},"references-count":0,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.4171\/jfg\/66","relation":{},"ISSN":["2308-1309","2308-1317"],"issn-type":[{"type":"print","value":"2308-1309"},{"type":"electronic","value":"2308-1317"}],"subject":[],"published":{"date-parts":[[2018,7,26]]}}}