Now showing items 1-3 of 3
EIGENVALUES of FIBONACCI STOCHASTIC ADDING MACHINE
(Stochastics and Dynamics, 2010-06-01) [Artigo]
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 kappa of complex numbers z ...
On the spectrum of stochastic perturbations of the shift and Julia sets
(Fundamenta Mathematicae, 2012-01-01) [Artigo]
We extend the Killeen-Taylor study [Nonlinearity 13 (2000)] by investigating in different Banach spaces (l(alpha)(N), c(0)(N),c(N)) the point, continuous and residual spectra of stochastic perturbations of the shift operator ...
SPECTRUM OF STOCHASTIC ADDING MACHINES AND FIBERED JULIA SETS
(Stochastics and Dynamics, 2013-09-01) [Artigo]
Consider the basic algorithm to perform the transformation n bar right arrow n + 1 changing digits of the d-adic expansion of n one by one. We obtain a family of Markov chains on the non-negative integers through successive ...