非一致结构系统的高点态涌现与Katok猜想
High pointwise emergence and Katok's conjecture for systems with non-uniform structure
摘要：
最近，Kiriki，Nakano和Soma引入了一个称为逐点涌现的概念，作为研究动力系统不存在平均值的一个新的定量视角。本文研究了非一致结构系统的点态涌现点集，证明了该点集具有全拓扑压力。为了证明这一结果，我们证明了这样的系统具有任意中间压力的遍历测度。
英文摘要：
Recently, Kiriki, Nakano and Soma introduced a concept called pointwise emergence as a new quantitative perspective into the study of non-existence of averages for dynamical systems. In the present paper, we consider the set of points with high pointwise emergence for systems with non-uniform structure and prove that this set carries full topological pressure. For the proof of this result, we show that such systems have ergodic measures of arbitrary intermediate pressures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
