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math.DS2009★ 2 cited
Some Ergodic Properties of Invertible Cellular Automata
Hasan Akin
In this paper we consider invertible one-dimensional linear cellular automata (CA hereafter) defined on a finite alphabet of cardinality , i.e. the maps $T_{f[l,r]}:\mathbb{Z}…
math.FA2009
On quantum quadratic operators of $\bm_2(\mathbb{C})$ and their dynamics
Farrukh Mukhamedov, Hasan Akin, Seyit Temir +1
In the present paper we study nonlinear dynamics of quantum quadratic operators (q.q.o) acting on the algebra of matrices $\bm_2(\bc)$. First, we describe q.q.o. with H…