This paper investigates the multifractal structure due to the recurrence under the nth Bowen metric on the dynamical system. It is shown that the set with the given lower and upper recurrence rates can have the full topological pressure, if the system (X,d,T) with specification property is non-minimal, and T is positively expansive.

中文翻译：

---

庞加莱递归集的拓扑压力

本文研究了多重分形结构由于在n动力系统上的鲍文度量。结果表明，具有给定的较低和较高复发率的集合可以具有完全拓扑压力，如果系统(X,d,吨)具有规范属性是非最小的，并且吨是积极扩张的。