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20032026
most citedTakens' last problem and existence of non-trivial wandering domains

62 citations · 211 across the 28 of their papers we have counts for

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math.DS2024

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…

math.DS2024★ 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…