Shin Kiriki

most citedPluripotency of wandering dynamics

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.DS2026★ 1 cited

Pluripotency of wandering dynamics

Shin Kiriki, Yushi Nakano, Teruhiko Soma

This paper isolates a perturbative mechanism, which we call \emph{pluripotency}, by which the symbolic and statistical behavior of prescribed orbits in a uniformly hyperbolic set c…

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.DS2026

Non-existence of Lyapunov exponents in the Newhouse domain

Shin Kiriki, Xiaolong Li, Yushi Nakano +1

We show that within the Newhouse domain of $C^{r}$ surface diffeomorphisms ( $r \in [2, \infty)$ ), there exists a dense subset $D$ such that for any $f \in D$ , Lyapu…

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…