29 citations · 106 across the 33 of their papers we have counts for
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math.DS2019★ 8 cited
Symbolic dynamics in mean dimension theory
Mao Shinoda, Masaki Tsukamoto
Furstenberg (1967) calculated the Hausdorff and Minkowski dimensions of one-sided subshifts in terms of topological entropy. We generalize this to -subshifts. Our gen…
math.DS2019★ 1 cited
Double variational principle for mean dimension with potential
Masaki Tsukamoto
This paper contributes to the mean dimension theory of dynamical systems. We introduce a new concept called mean dimension with potential and develop a variational principle for it…
math.DS2019★ 5 cited
Double variational principle for mean dimension
Elon Lindenstrauss, Masaki Tsukamoto
We develop a variational principle between mean dimension theory and rate distortion theory. We consider a minimax problem about the rate distortion dimension with respect to two v…