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Now showing items 1-8 of 8
Generalized adding machines and Julia sets
(Comptes Rendus Mathematique, 2016-11-01) [Artigo]
We define stochastic adding machines based on Cantor Systems of numeration. Our aim here is to compute the parts of spectra of the transition operators associated with these stochastic adding machines in different classical ...
Expansivity and shadowing in linear dynamics
(Journal Of Mathematical Analysis And Applications, 2018-05-01) [Artigo]
In the early 1970's Eisenberg and Hedlund investigated relationships between expansivity and spectrum of operators on Banach spaces. In this paper we establish relationships between notions of expansivity and hypercyclicity, ...
ON THE FIBONACCIC OMPLEX DYNAMICAL SYSTEMS
(Discrete And Continuous Dynamical Systems, 2016-05-01) [Artigo]
We consider in this paper a sequence of complex analytic functions constructed by the following procedure integral(n) (z) = integral(n-1) (z) integral(n-2) (z) + c, where c is an element of C is a parameter. Our aim is to ...
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 ...
STOCHASTIC ADDING MACHINE AND 2-DIMENSIONAL JULIA SETS
(Discrete And Continuous Dynamical Systems, 2014-12-01) [Artigo]
In this work we define a stochastic adding machine associated to a quadratic base (F-n) (n >= 0) formed by recurrent sequences of order 2. We obtain a Markov chain with states in Z(+) and we prove that the spectrum of the ...
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 ...
Dynamical properties of random walks
(Stochastics And Dynamics, 2019-06-01) [Artigo]
In this paper, we study dynamical properties such as hypercyclicity, supercyclicity, frequent hypercyclicity and chaoticity for transition operators associated to countable irreducible Markov chains. As particular cases, ...