Xiaolong Li

collaborators

2 papers

math.DS2026

A robust obstruction to full strong pluripotency for wild blender-horseshoes

Shin Kiriki, Xiaolong Li, Yushi Nakano +1

Suppose that $M$ is a closed manifold of dimension greater than two and $r \geq 2$ . We show that there exists a $C^{r}$ -diffeomorphism $f : M ⟶ M$ with a wild affine blende…

math.DS2025

Takens' Last Problem and strong pluripotency

Shin Kiriki, Xiaolong Li, Yushi Nakano +2

We consider the concept of strong pluripotency of dynamical systems for a hyperbolic invariant set, as introduced in [KNS]. To the best of our knowledge, for the whole hyperbolic i…