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math.DS2021
Quenched limit theorems for random U(1) extensions of expanding maps
Yong Moo Chung, Yushi Nakano, Jens Wittsten
The Lyapunov spectra of random U(1) extensions of expanding maps on the torus were investigated in our previous work [NW2015]. Using the result, we extend the recent spectral appro…
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.DS2014★ 11 cited
On the spectra of quenched random perturbations of partially expanding maps on the torus
Yushi Nakano, Jens Wittsten
We consider quenched random perturbations of skew products of rotations on the unit circle over uniformly expanding maps on the unit circle. It is known that if the skew product sa…