保持zeta函数的时变
Time-changes preserving zeta functions
摘要：
我们与任何动力系统的许多周期轨道的每一个长度的收集可能的时变的序列的周期点计数，保持计数周期点的属性。在所有动力系统上求交给出了一个对所有这样的系统都具有这种性质的时变幺半群。我们表明，唯一的多项式躺在这个“普遍良好”的幺半群是单项式，这个幺半群是不可数的。例子给出了一些洞察如何收集的地图不同的动力系统的结构。
英文摘要：
We associate to any dynamical system with finitely many periodic orbits of each length a collection of possible time-changes of the sequence of periodic point counts that preserve the property of counting periodic points. Intersecting over all dynamical systems gives a monoid of time-changes that have this property for all such systems. We show that the only polynomials lying in this `universally good' monoid are the monomials, and that this monoid is uncountable. Examples give some insight into how the structure of the collection of maps varies for different dynamical systems.
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。
