3 papers
math.DS2026
Topological entropy, mean dimension, and weakly equivalent flows
Lei Jin, Yixiao Qiao
In this paper, we mainly revisit a nice theory for topological entropy of weakly equivalent flows, which was originally investigated by Ohno in 1980. We will develop a new approach…
math.DS2025
Relative topological entropy and relative mean dimension of induced factors
Kairan Liu, Yixiao Qiao
We study the relation of relative topological entropy and relative mean dimension between a factor map and its induced factor map for amenable group actions. On the one hand, we pr…
math.DS2025
Infinite topological entropy, positive mean dimension, and factors of subshifts
Lei Jin, Yixiao Qiao
We study dynamical systems with the property that all the nontrivial factors have infinite topological entropy (or, positive mean dimension). We establish an ``if and only if'' con…