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

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概要

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• 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.

• 東京大学の論文

著者

• Hattori Kumiko

  Department Of Mathematical Sciences Shinshu University

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