Asymptotically One-Dimensional Diffusions on Scale-Irregular Gaskets

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概要

• 論文の詳細を見る

• A new class of fractals, the \rgs, is defined, and the asymptotically one-dimensional diffusion processes are constructed on them. The class contains infinitely many fractals which lack exact self-similarity, and which also lack non-degenerate fixed points of renormalization maps (hence are not in the class of nested fractals). An essential step in the construction of diffusion is to prove the existence of appropriate time-scaling factors. For this purpose, a limit theorem for a discrete-time multi-type supercritical branching processes with singular and irregular (varying) environment, is developed.

• 東京大学の論文

著者

• Hattori Tetsuya

  Department Of Mathematics Faculty Of Science Rikkyo University

• Hattori Tetsuya

  Department Of Mathematics Faculty Of Science Osaka University

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