+
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Exact solvable family of discrete Schrödinger operators with long-range hoppings
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2024
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César R. de Oliveira
Mariane Pigossi
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On rank one and Weyl–von Neumann theorem for multiplicative perturbations of unitary operators
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2024
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Vanderléa R. Bazao
César R. de Oliveira
Pablo A. Diaz
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Slow dynamics for self-adjoint semigroups and unitary evolution groups
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2024
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
Genilson Santana
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On spectral measures and convergence rates in von Neumann’s Ergodic theorem
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2024
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
Edson Souza
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Dynamical confinement for Schrödinger operators with magnetic potential and Aharonov–Bohm effect
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2024
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César R. de Oliveira
Renan G. Romano
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On the Fourier asymptotics of absolutely continuous measures with power-law singularities
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2024
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
Edélcio G. de Souza
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On the Birman–Krein Theorem
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2023
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Vanderléa R. Bazao
César R. de Oliveira
Pablo Díaz
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Effective Quantum Graph Models of Some Nonequilateral Graphyne Materials
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2023
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César R. de Oliveira
Vinícius L. Rocha
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+
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Bidimensional Honeycomb Materials: A Graph Model Through Dirac Operator
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2022
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César R. de Oliveira
Vinícius L. Rocha
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Positive Fractal Dimensions of Bound States Spectral Measures: Application to the Hydrogen Atom
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2022
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
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On the Fourier asymptotics of absolutely continuous measures with power-law singularities
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2022
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M. Aloisio
Sérgio Luís de Carvalho
César R. de Oliveira
Edélcio G. de Souza
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+
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On spectral measures and convergence rates in von Neumann's Ergodic Theorem
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2022
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M. Aloisio
S. L. Carvalho
César R. de Oliveira
Edélcio G. de Souza
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+
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On the Birman-Krein Theorem
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2022
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Vanderléa R. Bazao
César R. de Oliveira
Pablo Díaz
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Some generic fractal properties of bounded self-adjoint operators
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2021
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
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Density of States and Lifshitz Tails for Discrete 1D Random Dirac Operators
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2021
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Roberto A. Prado
César R. de Oliveira
E. Capelas de Oliveira
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+
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Generic properties of purely $\alpha$-Hausdorff continuous operators
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2021
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
Genilson Santana
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Spectral Hausdorff dimensions for a class of Schrödinger operators in bounded intervals
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2021
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Vanderléa R. Bazao
Túlio O. Carvalho
César R. de Oliveira
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Dirac cones for graph models of multilayer AA-stacked graphene sheets
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2021
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César R. de Oliveira
Vinícius L. Rocha
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PDF
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All self-adjoint extensions of the magnetic Laplacian in nonsmooth domains and gauge transformations
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2021
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César R. de Oliveira
Wagner Monteiro
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PDF
Chat
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Generic zero-Hausdorff and one-packing spectral measures
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2021
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Silas L. Carvalho
César R. de Oliveira
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+
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Slow dynamics for self-adjoint semigroups and unitary evolution groups
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2021
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
Genilson Santana
|
+
PDF
Chat
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Dirac cones for bi- and trilayer Bernal-stacked graphene in a quantum graph model
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2020
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César R. de Oliveira
Vinícius L. Rocha
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PDF
Chat
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Category Theorems for Schrödinger Semigroups
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2020
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
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+
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All self-adjoint extensions of the magnetic Laplacian in nonsmooth domains and gauge transformations
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2020
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César R. de Oliveira
Wagner Monteiro
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+
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Some generic fractal properties of bounded self-adjoint operators
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2020
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
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+
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Hydrogen atom bound states whose spectral measures have positive upper fractal dimensions
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2020
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
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+
PDF
Chat
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A New Version of the Aharonov–Bohm Effect
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2020
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César R. de Oliveira
Renan G. Romano
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+
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Lower bounds for fractal dimensions of spectral measures of the period doubling Schrödinger operator
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2020
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Vanderléa R. Bazao
Túlio O. Carvalho
César R. de Oliveira
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Persistence of Point Spectrum for Perturbations of One-Dimensional Operators with Discrete Spectra
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2020
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César R. de Oliveira
Mariane Pigossi
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+
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All self-adjoint extensions of the magnetic Laplacian in nonsmooth domains and gauge transformations
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2020
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César R. de Oliveira
Wagner Monteiro
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+
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Some generic fractal properties of bounded self-adjoint operators
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2020
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
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+
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Refined scales of decaying rates of operator semigroups on Hilbert spaces: Typical behavior
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2019
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
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+
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Refined scales of weak-mixing dynamical systems: typical behaviour
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2019
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Silas L. Carvalho
César R. de Oliveira
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PACKING SUBORDINACY WITH APPLICATION TO SPECTRAL CONTINUITY
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2019
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Vanderléa R. Bazao
Silas L. Carvalho
César R. de Oliveira
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Quantum quasiballistic dynamics and thick point spectrum
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2019
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
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+
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On the Neumann Laplacian in nonuniformly collapsing strips
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2019
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César R. de Oliveira
Alessandra A. Verri
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+
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Category theorems for Schr\"odinger semigroups
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2019
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
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+
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Effective Hamiltonians in surfaces of thin quantum waveguides
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2019
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César R. de Oliveira
Luiz Hartmann
Alessandra A. Verri
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+
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Category theorems for Schrödinger semigroups
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2019
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
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+
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Point Spectrum and SULE for Time-Periodic Perturbations of Discrete 1D Schrödinger Operators with Electric Fields
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2018
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César R. de Oliveira
Mariane Pigossi
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+
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Proof of dynamical localization for perturbations of discrete 1D Schrödinger operators with uniform electric fields
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2018
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César R. de Oliveira
Mariane Pigossi
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+
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Refined scales of decaying rates of operator semigroups on Hilbert spaces: typical behaviour
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2018
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Moacir Aloisio
Silas L. Carvalho
César R. de Oliveira
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PDF
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Aharonov-Bohm effect without contact with the solenoid
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2017
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César R. de Oliveira
Renan G. Romano
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+
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Generalized Kotani’s trick for unitary operators
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2017
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César R. de Oliveira
Wagner Monteiro
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+
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On the spectral Hausdorff dimension of 1D discrete Schrödinger operators under power decaying perturbations
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2017
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Vanderléa R. Bazao
Silas L. Carvalho
César R. de Oliveira
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Dynamical Localization for Discrete Anderson Dirac Operators
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2017
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Roberto A. Prado
César R. de Oliveira
Silas L. Carvalho
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Mild singular potentials as effective Laplacians in narrow strips
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2017
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César R. de Oliveira
Alessandra A. Verri
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+
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Norm resolvent approximation of thin homogeneous tubes by heterogeneous ones
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2016
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César R. de Oliveira
Alessandra A. Verri
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A characterization of singular packing subspaces with an application to limit-periodic operators
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2016
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Silas L. Carvalho
César R. de Oliveira
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Correlation dimension Wonderland theorems
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2016
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Silas L. Carvalho
César R. de Oliveira
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+
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A characterization of singular packing subspaces with an application to limit-periodic operators
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2016
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Silas L. Carvalho
César R. de Oliveira
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On the spectral Hausdorff dimension of 1D discrete Schrödinger operators under power decaying perturbations
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2016
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Vanderléa R. Bazao
Silas L. Carvalho
César R. de Oliveira
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A characterization of singular packing subspaces with an application to limit-periodic operators
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2016
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Silas L. Carvalho
César R. de Oliveira
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CONVERGENCE OF SOLUTIONS TO SOME ELLIPTIC EQUATIONS IN BOUNDED NEUMANN THIN DOMAINS
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2015
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César R. de Oliveira
Alessandra A. Verri
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Generic quasilocalized and quasiballistic discrete Schrödinger operators
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2015
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Silas L. Carvalho
César R. de Oliveira
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+
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Norm resolvent convergence of Dirichlet Laplacian in unbounded thin waveguides
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2015
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César R. de Oliveira
Alessandra A. Verri
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Complex $\Gamma$-convergence and magnetic Dirichlet Laplacian in bounded thin tubes
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2014
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Roxana Bedoya
César R. de Oliveira
Alessandra A. Verri
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Spectral and dynamical properties of sparse one-dimensional continuous Schrödinger and Dirac operators
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2013
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Silas L. Carvalho
César R. de Oliveira
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+
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Complex $Γ$-convergence and magnetic Dirichlet Laplacian in bounded thin tubes
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2013
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Roxana Bedoya
César R. de Oliveira
Alessandra A. Verri
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+
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Asymptotic spectrum for the Dirichlet Laplacian in thin deformed tubes with scaled geometry
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2012
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César R. de Oliveira
Alessandra A. Verri
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PDF
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Spectral Packing Dimensions through Power-Law Subordinacy
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2012
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Silas L. Carvalho
César R. de Oliveira
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PDF
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Mathematical predominance of Dirichlet condition for the one-dimensional Coulomb potential
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2012
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César R. de Oliveira
Alessandra A. Verri
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+
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On Norm Resolvent and Quadratic Form Convergences in Asymptotic Thin Spatial Waveguides
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2012
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César R. de Oliveira
Alessandra A. Verri
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+
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Sparse 1D discrete Dirac operators I: Quantum transport
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2011
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Roberto A. Prado
César R. de Oliveira
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+
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Sparse one-dimensional discrete Dirac operators II: Spectral properties
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2011
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Silas L. Carvalho
César R. de Oliveira
Roberto A. Prado
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+
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On the spectrum and weakly effective operator for Dirichlet Laplacian in thin deformed tubes
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2011
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César R. de Oliveira
Alessandra A. Verri
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Quantum singular operator limits of thin Dirichlet tubes via Γ-convergence
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2011
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César R. de Oliveira
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+
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Impenetrability of Aharonov–Bohm Solenoids: Proof of Norm Resolvent Convergence
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2010
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César R. de Oliveira
Marciano Pereira
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PDF
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Scattering and self-adjoint extensions of the Aharonov–Bohm Hamiltonian
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2010
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César R. de Oliveira
Marciano Pereira
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Intermediate Spectral Theory and Quantum Dynamics
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2009
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César R. de Oliveira
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Quantum Energy Expectation in Periodic Time-Dependent Hamiltonians via Green Functions
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2009
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César R. de Oliveira
Mariza Stefanello Simsen
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PDF
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Mathematical Justification of the Aharonov-Bohm Hamiltonian
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2008
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César R. de Oliveira
Marciano Pereira
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PDF
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Self-adjoint extensions of Coulomb systems in 1, 2 and 3 dimensions
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2008
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César R. de Oliveira
Alessandra A. Verri
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PDF
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Almost periodic orbits and stability for quantum time-dependent Hamiltonians
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2007
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César R. de Oliveira
Mariza Stefanello Simsen
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Cantor singular continuous spectrum for operators along interval exchange transformations
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2007
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Milton Cobo
Carlos Gutiérrez
César R. de Oliveira
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PDF
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A Floquet Operator with Purely Point Spectrum and Energy Instability
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2007
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César R. de Oliveira
Mariza Stefanello Simsen
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PDF
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Dynamical lower bounds for 1D Dirac operators
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2007
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Roberto A. Prado
César R. de Oliveira
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PDF
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Hybrid Quasicrystals, Transport and Localization in Products of Minimal Sets
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2007
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Túlio O. Carvalho
César R. de Oliveira
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Quantum Hamiltonians with quasi-ballistic dynamics and point spectrum
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2007
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César R. de Oliveira
Roberto A. Prado
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+
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Almost Periodic Orbits and Stability for Quantum Time-Dependent Hamiltonians
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2007
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César R. de Oliveira
Mariza Stefanello Simsen
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+
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A Floquet Operator with Pure Point Spectrum and Energy Instability
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2007
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César R. de Oliveira
Mariza Stefanello Simsen
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+
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Quantum Hamiltonians with Quasi-Ballistic Dynamics and Point Spectrum
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2007
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César R. de Oliveira
Roberto A. Prado
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+
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Dynamical Lower Bounds for 1D Dirac Operators
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2007
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Roberto A. Prado
César R. de Oliveira
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+
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Cantor Singular Continuous Spectrum for Operators Along Interval Exchange Transformations
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2007
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Milton Cobo
Carlos Gutiérrez
César R. de Oliveira
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PDF
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Dimensionalities of weak solutions in hydrogenic systems
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2006
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Alejandro López‐Castillo
César R. de Oliveira
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PDF
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Spectral and localization properties for the one-dimensional Bernoulli discrete Dirac operator
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2005
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César R. de Oliveira
Roberto A. Prado
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PDF
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Dynamical delocalization for the 1D Bernoulli discrete Dirac operator
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2005
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César R. de Oliveira
Roberto A. Prado
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+
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Almost periodic Schrödinger operators along interval exchange transformations
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2003
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César R. de Oliveira
Carlos Gutiérrez
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+
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Critical energies in random palindrome models
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2003
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Túlio O. Carvalho
César R. de Oliveira
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+
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Eigenfunction entropy as a criterion of localization
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2002
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César R. de Oliveira
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+
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None
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2002
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Túlio O. Carvalho
César R. de Oliveira
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PDF
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Singular continuous spectrum for a class of nonprimitive substitution Schrödinger operators
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2001
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César R. de Oliveira
Marcus V. Lima
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PDF
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(De)localization in the prime Schrödinger operator
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2001
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César R. de Oliveira
G. Q. Pellegrino
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PDF
Chat
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Autocorrelation Scaling and Fourier Transform of Non-Autonomous Systems
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2000
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César R. de Oliveira
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+
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A nonprimitive substitution Schrödinger operator with generic singular continuous spectrum
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2000
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César R. de Oliveira
Marcus V. Lima
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+
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Correlation dimension and spectrum for the almost periodic bouncing ball
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1999
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César R. de Oliveira
Paulo S. Gonçalves
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PDF
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Quantum return probability for substitution potentials
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1999
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César R. de Oliveira
G. Q. Pellegrino
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+
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Equivalence of some quantum stability concepts
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1998
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César R. de Oliveira
Maria C. de Toledo
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+
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Bifurcations and chaos for the quasiperiodic bouncing ball
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1997
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César R. de Oliveira
Paulo S. Gonçalves
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+
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Some remarks concerning stability for nonstationary quantum systems
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1995
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César R. de Oliveira
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On kicked systems modulated along the Thue-Morse sequence
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1994
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César R. de Oliveira
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Instability for a class of randomly kicked systems
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1993
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César R. de Oliveira
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Attractors and characteristic exponents
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1988
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César R. de Oliveira
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