EIGENVALUES OF FIBONACCI STOCHASTIC ADDING MACHINE
Ali Messaoudi, Daniel Smania · Stochastics and Dynamics · 2010
In this work, we compute the eigenvalues of the transition operator associated to the Fibonacci stochastic adding machine. In particular, we show that the eigenvalues are connected to the set [Formula: see text] of complex numbers z where (z2, z) belongs to the filled Julia set of a particular endomorphism of ℂ2. We also study some topological properties of the set [Formula: see text].