5 citations · 9 across the 18 of their papers we have counts for
3 papers · 1 filter
Length averages for codimension one foliations
Masayuki Asaoka, Yushi Nakano, Paulo Varandas +1
In this paper we study geometrical and dynamical properties of codimension one foliations, by exploring a relation between length averages and ball averages of certain group action…
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…
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…