5 papers
Reconstructing the Probability Measure of a Multi-group Curie-Weiss Model with Interacting Groups
Miguel Ballesteros, Gerardo Franco Cordova, Fedro Guillen +1
We study the problem of reconstructing the probability measure of a multi-group version of the Curie-Weiss or mean-field model of ferromagnetism from a sample of the voting behavio…
Limit absorption and Green function estimates for matrix-valued periodic operators
Miguel Ballesteros, Gerardo Franco Cordova, Hermann Schulz-Baldes
The boundary value of the resolvent of a generic periodic tight-binding Hamiltonian with matrix symbols is shown to satisfy a limit absorption principle which is continuous in ener…
Levinson theorem for discrete Schrödinger operators on the line with matrix potentials having a first moment
Miguel Ballesteros, Gerardo Franco Córdova, Ivan Naumkin +1
This paper proves new results on spectral and scattering theory for matrix-valued Schrödinger operators on the discrete line with non-compactly supported perturbations whose first…
Band edge limit of the scattering matrix for quasi-one-dimensional discrete Schrödinger operators
Miguel Ballesteros, Gerardo Franco Córdova, Guillermo Garro +1
This paper is about the scattering theory for one-dimensional matrix Schrödinger operators with a matrix potential having a finite first moment. The transmission coefficients are a…
Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line
Miguel Ballesteros, Gerardo Franco Córdova, Hermann Schulz-Baldes
Explicit formulas for the analytic extensions of the scattering matrix and the time delay of a quasi-one-dimensional discrete Schrödinger operator with a potential of finite suppor…