My name is Victor Vargas, I did my doctorate at the Institute of Mathematics and Statistics of the University of Sao Paulo under supervision of the professor Ricardo Freire, in my doctoral thesis I studied problems about the existence of accumulation points at zero temperature in the context of topologically transitive countable Markov shifts. Some time later, I held postdoctoral positions at the Institute of Mathematics and Statistics of the Federal University of Rio Grande do Sul under supervision of the professor Artur O. Lopes and at the School of Mathematics of the National University of Colombia under supervision of the professor David Blázquez-Sanz.
My research interests deal with ergodic theory, dynamical systems, number theory and statistical mechanics. I am mainly interested in the study of transfer operators, problems of selection and non-selection at zero temperature and its applications to solve problems in ergodic optimization and optimal transport. I am also interested in the relations between non-integer expansions of real numbers and symbolic dynamics and its consequences in the study of typical problems in statistical mechanics.