Atsuya Otani

collaborators

2 papers

math.DS2016

Chaotically driven sigmoidal maps

Gerhard Keller, Atsuya Otani

We consider skew product dynamical systems $f : Θ \times R \to Θ \times R, f (θ, y) = (T θ, f_{θ} (y))$ with a (generalized) baker transformation $T$ at the base and uniformly bou…

math.DS2015

An entropy formula for a non-self-affine measure with application to Weierstrass-type functions

Atsuya Otani

Let $τ : [0, 1] \to [0, 1]$ be a piecewise expanding map with full branches. Given $λ : [0, 1] \to (0, 1)$ and $g : [0, 1] \to R$ satisfying $ τ' λ>…