2021-12-08T08:02:14Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000402402021-03-01T21:04:28ZExact Hausdorff Dimension of Self-avoiding Processes on the Multi-dimensional Sierpinski GasketHattori, Kumiko138837415application/pdfWe determine the `exact Hausdorff dimension' for a class of multi-type random constructions. As an application, we consider a model of self-avoiding walk called the `branching model' on the multi-dimensional Sierpinski gasket. We take its continuum limit and determine the exact Hausdorff dimension of the path of the limit process.departmental bulletin paperGraduate School of Mathematical Sciences, The University of Tokyo2000application/pdfJournal of mathematical sciences, the University of Tokyo175798AA1102165313405705https://repository.dl.itc.u-tokyo.ac.jp/record/40240/files/jms070105.pdfeng