Mathematics
4 years ago

New study reveals groundbreaking link between dimension theory and data compression!

Discrete and Continuous Dynamical Systems
Variational relations for metric mean dimension and rate distortion dimension
Tao Wang

Paper Summary

The article explores new relationships between metric mean dimension and rate distortion dimension. By introducing the Bowen metric mean dimension and studying subsets, the researchers provide fresh insights into these dimensions. They also offer new ways to understand the rate distortion dimension. Additionally, they investigate how the Bowen metric mean dimension of generic points relates to the rate distortion dimension.

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