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On the spectrum of stochastic perturbations of the shift and Julia sets
(Polish Acad Sciences Inst Mathematics, 2012-01-01)
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 ...
Julia sets for Fibonacci endomorphisms of (2)
(Taylor & Francis Ltd, 2018-01-01)
We study the dynamics of the family f(c)(x, y)= (xy + c, x) of endomorphisms of , where c is a real parameter. We investigate several topological properties of the forward and backward filled Julia sets. Then, through the ...
Filled Julia set of some class of Hénon-like maps
(2020-01-02)
In this work we consider a class of endomorphisms of R2 defined by f (x, y) = (xy + c, x), where c ∈ R is a real number and we prove that when −1 < c < 0, the forward filled Julia set of f is the union of stable manifolds ...
On the spectrum of stochastic perturbations of the shift and Julia sets
(Polish Acad Sciences Inst Mathematics, 2012-01-01)
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 ...
THE MAXIMAL ENTROPY MEASURE DETECTS NON-UNIFORM HYPERBOLICITY
(INT PRESS BOSTON, INC, 2010)
We characterize two of the most studied non-uniform hyperbolicity conditions for rational maps, semi-hyperbolicity and the topological Collet-Eckmann condition, in terms of the maximal entropy measure.
Algumas Propriedades Geométricas do Conjunto de JuliaSome Geometric Properties of the Julia Set
(Universidade Federal de ViçosaBRÁlgebra; Análise; Geometria e Topologia; Matemática AplicadaMestrado em MatemáticaUFV, 2015)
SPECTRUM OF STOCHASTIC ADDING MACHINES AND FIBERED JULIA SETS
(World Scientific Publ Co Pte Ltd, 2013-09-01)
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 ...
STOCHASTIC ADDING MACHINE AND 2-DIMENSIONAL JULIA SETS
(Amer Inst Mathematical Sciences, 2014-12-01)
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 ...
Real laminations and the topological dynamics of complex polynomials
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2004)
We characterize the laminations associated to complex polynomials with connected Julia sets and without irrationally neutral cycles. (C) 2003 Elsevier Science (USA). All rights reserved.
Dinâmica de endomorfismos do plano complexo e conjuntos de Julia na esfera de Rieman
(Universidade Estadual Paulista (Unesp), 2009-08-10)
Neste trabalho, estudaremos as propriedades dinâmicas de endomorfismos do plano complexo C. Provaremos e o teorema de Montel e mostraremos algumas propriedades topológicas do conjunto de Julia J(f), onde f : C seta C é uma ...