I am a Postdoctoral Fellow in the
School of Mathematical Sciences
at
Tel Aviv University hosted by Asaf Nachmias
and
Ron Peled.
In general I am drawn toward problems connecting ideas from dynamical systems and statistical mechanics with combinatorics. Today I am focused on finding sufficient conditions for efficient computation of thermodynamic quantities (e.g. topological entropy, pressure) in shift spaces on groups. This has lead me to the study of Gibbs measures as equilibrium states, the interplay between hard constraints and spatial mixing properties, and counting techniques based on correlation decay. Counting Complexity and Phase Transitions
program organized by the
Simons Institute for the Theory of Computing
at
UC Berkeley.
I did my undergraduate studies in the
Faculty of Physical and Mathematical Sciences
and the
Department of Mathematical Engineering
at
University of Chile. |