Milton Cobo

Milton Cobo
Universidade Federal do Espírito Santo | UFES · Departamento de Matemática

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6
Publications
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Introduction
Milton Cobo currently works at the Departamento de Matemática, Universidade Federal do Espírito Santo. Milton does research in Dynamical Systems. Their current project is 'Perturbation of IEM and wandering intervals'.
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Publications

Publications (6)
Article
Full-text available
The construction of affine interval exchange maps with wandering intervals that are semi-conjugate with a given self-similar interval exchange map is strongly related with the existence of the so called minimal sequences associated with local potentials, which are certain elements of the substitution subshift arising from the given interval exchang...
Article
Full-text available
In this article we provide sufficient conditions on a self-similar interval exchange map, whose renormalization matrix has complex eigenvalues of modulus greater than one, for the existence of affine interval exchange maps with wandering intervals and semi-conjugate with it. These conditions are based on the algebraic properties of the complex eige...
Article
Given a compact 2 2 –dimensional manifold M M we classify all continuous flows φ \varphi without wandering points on M M . This classification is performed by finding finitely many pairwise disjoint open φ − \varphi - invariant subsets { U 1 , U 2 , … , U n } \{U_1, U_2, \ldots , U_n\} of M M such that ⋃ i = 1 n U i ¯ = M \bigcup _{i=1}^n{\overline...
Article
It is shown that Schroedinger operators, with potentials along the shift embedding of Lebesgue almost every interval exchange transformations, have Cantor spectrum of measure zero and pure singular continuous for Lebesgue almost all points of the interval.
Article
Let X:ℝ 2 →ℝ 2 be a C 1 map. Denote by Spec(X) the set of (complex) eigenvalues of DX p when p varies in ℝ 2 . If there exists ε>0 such that Spec(X)∩(-ε,ε)=∅, then X is injective. Some applications of this result to the real Keller-Jacobian conjecture are discussed.
Article
If T is an interval exchange transformation we denote by C_{{\rm aff}}(T) (respectively S_{{\rm aff}}(T)) the set of piece-wise affine maps of the interval which are conjugate (respectively semi-conjugate) to T. In this work we will give a description of the set C_{{\rm aff}}(T) for almost all T. We present an explicit interval exchange T_0 such th...

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