Fernando Metz

External Fellow

I am an associate professor at the Physics Institute of the Federal University of Rio Grande do Sul (UFRGS) in Brazil. Before joining UFRGS, I spent several years as a postdoctoral researcher in Belgium, Italy, and Brazil. My research interests lie in the statistical mechanics of disordered systems composed of many interacting elements (atoms, neurons, social agents, etc.). The disorder manifests itself in the random interactions, and the tools of statistical mechanics have to be properly adapted in order to study the macroscopic behaviour of these systems. Within the vast field of disordered systems, I have been working on problems at the interface between random matrix theory, spin-glasses, random graphs, and Anderson localization. More recently, my research has been focused on refining and adapting the techniques of random matrix theory to understand the spectral properties of complex networks.

Positions Held

  • 2017 – present – Associate Professor, Physics Institute, Federal University of Rio Grande do Sul, Porto Alegre – Brazil
  • 2015 – 2017 – Associate Professor, Physics Department – Federal University of Santa Maria, Santa Maria – Brazil.
  • 2014 – 2015 – Postdoctoral researcher, Physics Institute – Federal University of Rio Grande do Sul, Porto Alegre – Brazil.
  • 2011 – 2014 – Postdoctoral researcher, University of Rome “La Sapienza”, Italy.
  • 2009 – 2011 – Postdoctoral researcher, University of Leuven, Belgium.
  • 2003 – 2008 – PhD in Physics, Federal University of Rio Grande do Sul, Porto Alegre – Brazil.

Selected Publications

  • F. L. Metz, I. Neri, and T. Rogers, Spectral Theory of Sparse Non-Hermitian Random Matrices, J. Phys. A: Math. Theor. 52 (invited review), 434003 (2019).
  • F. L. Metz and I. P. Castillo, Level compressibility for the Anderson model on regular random graphs and the eigenvalue statistics in the extended phase, Physical Review B 96, 064202 (2017).
  • I. Neri and F. L. Metz, Eigenvalue outliers of non-Hermitian random matrices with a local tree structure, Physical Review Letters 117, 224101 (2016).
  • F. L. Metz and I. P. Castillo, Large deviation function for the number of eigenvalues of sparse random graphs inside an interval, Physical Review Letters 117, 104101 (2016).
  • F. L. Metz, L. Leuzzi and G. Parisi, Finite size correction to the spectrum of regular random graphs: an analytical solution, Physical Review E 90, 052109 (2014).
  • I. Neri and F. L. Metz, Spectra of sparse non-Hermitian random matrices: an analytical solution, Physical Review Letters 109, 030602 (2012).