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Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps
(2008)
We study a robust class of multidimensional non-uniformly hyperbolic transformations
considered by Oliveira and Viana (Ergod. Theory Dyn. Syst. 28:501–533, 2008).
For an open class of Hölder continuous potentials with small ...
Random walks in static and markovian time-dependent random environment
(2014)
Firstly, we introduce ellipticity criteria for random walks in i.i.d. random environments,
under which we can extend the ballisticity conditions of Sznitman’s and the polynomial
effective criteria of Berger, Drewitz and ...
Propriedades espectrais de operadores de Schrödinger discretos com petenciais ergódicos e Almost-Periodic
(Universidade Federal de Minas GeraisUFMG, 2015-05-28)
This work focuses on the study of some spectral properties of the discrete Schrödinger operators with ergodic and almost-periodic potentials. Specifically, we are interested in obtaining a general spectral description for ...
Non-periodic bifurcations of one-dimensional maps
(Cambridge University Press, 2007-04-01)
We prove that a 'positive probability' subset of the boundary of '{uniformly expanding circle transformations}' consists of Kupka-Smale maps. More precisely, we construct an open class of two-parameter families of circle ...
One-dimensional projective subdynamics of uniformly mixing Z(d) shifts of finite type
(Cambridge Univ Press, 2015)
We investigate under which circumstances the projective subdynamics of multidimensional
shifts of finite type can be non-sofic. In particular, we give a sufficient condition ensuring the
one-dimensional projective ...
Non-periodic bifurcations of one-dimensional maps
(Cambridge University Press, 2014)
Shadowing and structural stability for operators
(2021-04-01)
A well-known result in the area of dynamical systems asserts that any invertible hyperbolic operator on any Banach space is structurally stable. This result was originally obtained by Hartman in 1960 for operators on ...
Critérios para as Componentes Espectrais Absolutamente Contínuas de Operadores de Jacobi a Valores Matriciais
(Universidade Federal de Minas GeraisUFMG, 2018-06-28)
We dicuss in this work some characterizations of the absolutely continuous spectrum of arbitrary multiplicity of discrete matrix-valued Jacobi operators on (...). Essentially, these results extend some well-known ...