2 papers
math.DS2025
Slow entropy for abelian actions
Changguang Dong, Qiujie Qiao
We calculate slow entropy type invariant introduced by A. Katok and J.-P. Thouvenot in [5] for higher rank smooth abelian actions for two leading cases: when the invariant measure…
math.DS2025
On the original Ulam's problem and its quantization
Changguang Dong, Jing Zhou
In this paper we show that under general resonance the classical piecewise linear Fermi-Ulam accelerator behaves substantially different from its quantization in the sense that the…