Hausdorff dimension, Mean quadratic variation of infinite self-similar measures

Simple item page
dc.creatorYu, Zu-Guo
dc.creatorRen, Fu-Yao
dc.creatorLiang, Jin-Rong
dc.date1998-12-24
dc.date.accessioned2026-07-07T05:27:21Z
dc.date.available2026-07-07T05:27:21Z
dc.descriptionUnder weaker condition than that of Riedi & Mandelbrot, the Hausdorff (and Hausdorff-Besicovitch) dimension of infinite self-similar set K which is the invariant compact set of infinite contractive similarities {S_j(x)} satisfying open set condition is obtained. It is proved (under some additional hypotheses) that the mean quadratic variation of infinite self-similar measure is of asymptotic property.
dc.description8 pages with no figures
dc.identifierhttps://arxiv.org/abs/math/9812138
dc.identifierhttp://arxiv.org/abs/math/9812138
dc.identifierBull. of Hong Kong Math. Soc., II(2) (1998) 161-169
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77890
dc.subjectClassical Analysis and ODEs
dc.subject28A80 (Primary) 00A73 (Secondary)
dc.titleHausdorff dimension, Mean quadratic variation of infinite self-similar measures
dc.typetext

Files

Collections

arXiv