I am currently doing my Ph.D in statistical Physics at the National University of Córdoba, Argentina, working under the direction of Dr. Francisco Tamarit. My main scientific interests are on the broad field of complex systems where problems tend to be of a strong interdisciplinary nature. The topic of my Thesis deals with the out of equilibrium dynamics of spin glasses and neural networks. These two classes of systems show many formal similarities, and both are paradigmatic cases for the emergence of complexity out of the interaction of many simple non-linear units. In another line of work I am interested in the optimisation of ultra-diluted neural networks for associative memory. Here we are trying to find efficient connection schemes and pruning strategies with inspiration on biological grounds. I am also taking part in an interdisciplinary project working on the dynamics of forests ecosystems. In particular I am studying how the macroscopic (multi)fractal properties of forest patches are related to the specific microscopic laws for seed dispersal. Most of our research in these topic is based on numerical simulations of cellular automata models of competing tree species. This year I became interested in the scaling properties and statistical regularities that can be observed in Human language. In the first part of this project I have been working on a generalisation of the Zipf-Madelbrot law in quantitative linguistics. This research can be promising in the sense that a complete understanding of the scaling form of the words frequencies distribution could shed light on the deeper question of the complex processes underlying language generation by the brain.

Home page: http://www.famaf.unc.edu.ar/~mmontemu