For the countable discrete amenable group actions, we calculate the mean Hausdorff dimensions of three types of infinite dimensional fractal systems, the self-similar systems, homogeneous systems in the infinite-dimensional torus,… Click to show full abstract
For the countable discrete amenable group actions, we calculate the mean Hausdorff dimensions of three types of infinite dimensional fractal systems, the self-similar systems, homogeneous systems in the infinite-dimensional torus, and the infinite dimensional-carpets.
Keywords:
infinite dimensional;
mean hausdorff;
amenable group;
hausdorff dimension;
group actions
Journal Title: Journal of Mathematical Physics
Year Published: 2024
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Journal Title: Journal of Mathematical Physics
Year Published: 2024
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!