Escaping orbits are also rare in the almost periodic Fermi-Ulam ping-pong

具有非简单点的类双曲作用的乒乓动力学

Ping-pong dynamics of hyperbolic-like actions with non-simple points

本文研究了类双曲群的乒乓动力学，证明了对于任意一对非循环的点稳定子，均存在并明确给出了一个真正的乒乓划分。

Ping-pong configurations and circular orders on free groups

We discuss actions of free groups on the circle with "ping-pong" dynamics; these are dynamics determined by a finite amount of combinatorial data, analogous to Schottky domains or Markov partitions. Using this, we show that the free group $F_n$ admits an isolated circular order if and only if n is even, in stark contrast with the case for linear orders. This answers a question from (Mann, Rivas, 2016). Inspired by work of Alvarez, Barrientos, Filimonov, Kleptsyn, Malicet, Menino and Triestino, we also exhibit examples of "exotic" isolated points in the space of all circular orders on $F_2$. An…

乒乓划分与实解析圆周微分同胚的局部离散群，I：构造

Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, I: Construction

本文针对实解析圆周微分同胚群的局部离散几乎自由子群，通过推广乒乓引理给出拓扑动力学分类方法，并在受限情形下解决了Dippolito的叶状结构理论古老猜想，相关推论将在配套论文详述。

乒乓划分与实解析圆微分同胚的局部离散群，II：应用

Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications

该研究作为系列工作第二部分，基于第一部分提出的实解析圆微分同胚局部离散子群拓扑分类方法，证明了Dippolito关于不变康托集作用半共轭于分段线性作用的猜想，并构造了非富克斯型的局部离散极小作用实例。

一种预测性模型用于协同肿瘤溶解病毒治疗：揭示ping-pong机制和联合小鼠脑炎病毒和牛痘病毒的最佳时机

A Predictive Model for Synergistic Oncolytic Virotherapy: Unveiling the Ping-Pong Mechanism and Optimal Timing of Combined Vesicular Stomatitis and Vaccinia Viruses

本文提出一个数学模型，揭示联合小鼠脑炎病毒和牛痘病毒的ping-pong协同机制，通过优化治疗时机实现肿瘤清除，提升病毒治疗效果。

A Piecewise Smooth Fermi-Ulam Pingpong with Potential

In this paper we study a Fermi-Ulam model where a pingpong bounces elastically against a periodically oscillating platform in a gravity field. We assume that the platform motion $f(t)$ is piecewise $C^3$ with a singularity $\dot{f}(0+)\ne\dot{f}(1-)$. If the second derivative of the platform motion is either always positive $\ddot{f}(t)>0$ or always $\ddot{f}(t)<-g$ where $g$ is the gravitational constant, then the escaping orbits constitute a null set and the system is recurrent. However, under these assumptions, escaping orbits coexist with bounded orbits at arbitrarily high energy level.