3 papers
math.DS2026
Comparison of two approaches to weighted topological entropy
Masaki Tsukamoto
We compare the Feng--Huang and covering definitions of weighted topological entropy for equivariant continuous maps between dynamical systems. The two quantities agree on the whole…
math.DS2026
Weighted topological entropy and intersecting random translates of Bedford--McMullen carpets
Nima Alibabaei, Masaki Tsukamoto
We establish a relativised variational principle for the Feng--Huang weighted topological entropy associated with a factor map between dynamical systems. Combined with a recent the…
math.DS2025
A Lipschitz Refinement of the Multidimensional Bebutov--Kakutani Dynamical Embedding Theorem
Yonatan Gutman, Qiang Huo, Masaki Tsukamoto
We prove that a continuous action of on a compact metrizable space equivariantly embeds into the shift action on the space of one-Lipschitz functions from $\mathbb{R…