62 citations · 211 across the 28 of their papers we have counts for
28 papers
Bounded cohomology and optimal separating constant for representations
Yushi Nakano, Teruhiko Soma
Let be a closed oriented surface of genus and a complete hyperbolic 3-manifold with a marking . We consider the case that has no parabolic cu…
-robust strong pluripotency for blender-horseshoes
Teruhiko Soma, Shuntaro Tomizawa
Suppose that is a closed manifold of dimension greater than two. We show that there exists a -diffeomorphism with a wild affine blender-horseshoe…
A robust obstruction to full strong pluripotency for wild blender-horseshoes
Shin Kiriki, Xiaolong Li, Yushi Nakano +1
Suppose that is a closed manifold of dimension greater than two and . We show that there exists a \(C^r\)-diffeomorphism \(f:M\to M\) with a wild affine blender-horses…
Non-existence of Lyapunov exponents in the Newhouse domain
Shin Kiriki, Xiaolong Li, Yushi Nakano +1
We show that within the Newhouse domain of surface diffeomorphisms (), there exists a dense subset such that for any , Lyapu…
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…