3 papers
math.DS2026
Non-rigid disk pseudo-rotations in and
Ziran Liu, Jian Wang, Peizheng Yu
We construct area-preserving irrational pseudo-rotations of the closed disk that fail to be -rigid. For every Brjuno rotation number we obtain examples, and they may be…
math.DS2024
A Simple Example of Pathological Foliations in Skew-Product Diffeomorphisms
Zhihong Xia, Peizheng Yu
Inspired by examples of Katok and Milnor \cite{Milnor1997}, we construct simple examples of skew-product volume preserving diffeomorphism where the center foliation is pathological…
math.DS2021
A fixed point theorem for twist maps
Peizheng Yu, Zhihong Xia
Poincare's last geometric theorem (Poincare-Birkhoff Theorem) states that any area-preserving twist map of annulus has at least two fixed points. We replace the area-preserving con…