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1	Dimensions in Random Constructions. Berlinkov, Artemi 05 1900 (has links) We consider random fractals generated by random recursive constructions, prove zero-one laws concerning their dimensions and find their packing and Minkowski dimensions. Also we investigate the packing measure in corresponding dimension. For a class of random distribution functions we prove that their packing and Hausdorff dimensions coincide. Geometrical constructions. Fractals. Dimension theory (Topology) Packing measure packing dimension random fractals box-counting dimension
2	Study of the fractals generated by contractive mappings and their dimensions / 縮小写像により生成されるフラクタルとそれらの次元に関する研究 Inui, Kanji 23 March 2020 (has links) 京都大学 / 0048 / 新制・課程博士 / 博士(人間・環境学) / 甲第22534号 / 人博第937号 / 新制\|\|人\|\|223(附属図書館) / 2019\|\|人博\|\|937(吉田南総合図書館) / 京都大学大学院人間・環境学研究科共生人間学専攻 / (主査)教授角大輝, 教授上木直昌, 准教授木坂正史 / 学位規則第4条第1項該当 / Doctor of Human and Environmental Studies / Kyoto University / DFAM fractal geometry iterated function system Hausdorff dimension Hausdorff measure packing dimension packing measure 361