20 citations · 123 across the 36 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.DS2015★ 13 cited
The partial captivity condition for U(1) extensions of expanding maps on the circle
Yushi Nakano, Masato Tsujii, Jens Wittsten
This paper concerns the compact group extension \[ f:\mathbb{T}^2\to \mathbb{T}^2,\quad f (x,s)= (E(x), s+τ(x)\ \text{mod }1) \] of an expanding map $E:\mathbb{S}^1\to \mathbb{S}^1…
math.DS2015
Historic Behaviour for Random Expanding Maps on the Circle
Yushi Nakano
Takens constructed a residual subset of the state space consisting of initial points with historic behaviour for expanding maps on the circle. We prove that this statistical proper…
math.DS2015★ 2 cited
Stochastic Stability for Fiber Expanding Maps via a Perturbative Spectral Approach
Yushi Nakano
We consider small perturbations of expanding maps induced by skew-product mappings whose base dynamics are not invertible necessarily. Adopting a previously developed perturbative…