1 citations · 1 across the 3 of their papers we have counts for
6 papers
-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…
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…
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 -diffeomorphism with a wild affine blende…
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…
Volume and structure of hyperbolic 3-manifolds
Teruhiko Soma
In this paper, we show that Gromov-Thurston's principle works for hyperbolic 3-manifolds of infinite volume and with finitely generated fundamental group. As an application, we hav…