Silas Luiz de Carvalho

Research Interests

Spectral Theory of self-adjoint operators:

Dynamical Systems and Ergodic Theory:

Rigorous Statistical Mechanics:

• Peierls argument
• Long-range order in ferromagnetic models
  

Publications

Theses (in Portuguese)

1. Silas L. Carvalho
   Persistência de ordem em modelos ferromagnéticos na presença de campos auto-similares quase aleatórios
   Master's thesis
2. Silas L. Carvalho
   Espectro e dimensão de Hausdorff de operadores bloco-Jacobi com perturbações esparsas distribuídas aleatoriamente
   Ph.D thesis

Publications in refereed journals

1. Roberto A. Prado, César R. de Oliveira, Silas L. Carvalho
   Dynamical Localization for Discrete Anderson Dirac Operators
   To appear in Journal of Statistical Mechanics
2. Silas L. Carvalho, Leonardo F. Guidi and Carlos F. Lardizabal
   Site recurrence of open and unitary quantum walks on the line
   To appear in Quantum Information Processing
3. Silas L. Carvalho and César R. de Oliveira
   Correlation Wonderland Theorems
   Journal of Mathematical Physics 57, (2016) 063501
4. Vanderléa R. Bazão, Silas L. Carvalho and César R. de Oliveira
   Preservation of the spectral Hausdorff dimension of 1D Schrödinger operators under power decaying perturbations
   To appear in Osaka Journal of Mathematics
5. Silas L. Carvalho and César R. de Oliveira
   A characterization of singular packing subspaces with an application to limit-periodic operators
   Forum Mathematicum 29(1), (2017) 31-40
6. Silas L. Carvalho and César R. de Oliveira
   Generic quasilocalized and quasiballistic discrete Schrödinger operators
   Proceedings of American Mathematical Society 144, (2016) 129-141
7. Silas L. Carvalho and César R. de Oliveira
   Spectral packing dimensions through power-law subordinacy
   Annales Henri Poincaré 14, (2013) 775-792
8. Silas L. Carvalho and César R. de Oliveira
   Spectral and dynamical properties of sparse one-dimensional continuous Schrödinger and Dirac operators
   Proceedings of the Edinburgh Mathematical Society 56, (2013) 1-34
9. Silas L. Carvalho, César R. de Oliveira and Roberto A. Prado
   Sparse 1D discrete Dirac operators II: Spectral properties
   Journal of Mathematical Physics 52, (2011) 073501
10. Silas L. Carvalho, Domingos H.U. Marchetti and Walter F. Wreszinski
    Sparse block-Jacobi matrices with arbitrarily accurate Hausdorff dimension
    Journal of Mathematical Analysis and Applications 368, (2011) 218–234

Preprints

1. Silas L. Carvalho, Domingos H.U. Marchetti and Walter F. Wreszinski
   On the uniform distribution of the Prüfer angles and its implication for a sharp spectral transition of Jacobi matrices with randomly sparse perturbations (2011)
2. Silas L. Carvalho, Domingos H.U. Marchetti and Walter F. Wreszinski
   Pointwise Decay of Fourier-Stieltjes transform of the Spectral Measure for Jacobi Matrices with Faster-than-Exponential Sparse Perturbations (2010)