AI 中文总结
本文证明具有可和群作用且满足specification性质、渐近熵扩张的动力系统，满足Katok中间熵猜想。
AI 中文摘要
本文研究一类满足Katok中间熵猜想的广泛系统，特别证明：若具有可和群作用的动力系统具有specification性质且是渐近熵扩张的，则该系统满足Katok中间熵猜想。
英文摘要
In this paper, we investigate a broad class of systems for which Katok's intermediate entropy conjecture holds. In particular, we show that a dynamical system with an amenable group action satisfies Katok's intermediate entropy conjecture provided that it has the specification property and is asymptotically entropy expansive.
