## Exact Hausdorff Dimension of Self-avoiding Processes on the Multi-dimensional Sierpinski Gasket

J. Math. Sci. Univ. Tokyo
Vol. 7 (2000), No. 1, Page 57--98.

Hattori, Kumiko
Exact Hausdorff Dimension of Self-avoiding Processes on the Multi-dimensional Sierpinski Gasket
We 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.