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math.DS2026
Rate distortion dimension of Gibbs measures for functions depending on the first two coordinates on the full shift of Ahlfors regular spaces
Kanji Inui, Mao Shinoda
The study on shift spaces in ergodic theory has extended beyond the classical setting, but there is room to discuss an extension of the Kolmogorov-Sinai entropy in the ergodic theo…
math.AP2026
Pointwise regularity and irregularity of energy densities on -dimensional Sierpinski gaskets
Masanori Hino, Kanji Inui, Kohei Nitta
We study the pointwise regularity of energy densities associated with harmonic functions on the -dimensional Sierpinski gasket with respect to the Kusuoka measure. Fo…