My name is Graccyela Salcedo, and I am currently a Junior Researcher in the field of mathematics. I did my PhD in Brazil at the Federal University of Rio de Janeiro (UFRJ). I specialized in the area of Random Dynamical Systems (RDSs). Currently, I am a Postdoctoral Fellow in France at École Polytechnique. 👀
In chronological order:
Lisandro Alvarado Central Western University UCLA, Venezuela.
Institute of Mathematics, Federal University of Rio de Janeiro IM-UFRJ, Brazil.
Institute of Mathematics and Computer Science, University of São Paulo ICMC-USP, Brazil.
The Faculty of Mathematics and Computer Science, Nicolaus Copernicus University WMil-UMK, Poland.
Centre de Physique Théorique CPHT, École Polytechnique, France.
My research is in the field of dynamical systems, with a focus on applying probability theory and ergodic theory to the study of random dynamical systems (RDS).
One of my primary interests lies in understanding the stationary measures of RDS. By "understanding," I mean analyzing their
probabilistic properties, such as exact dimensionality and absolute continuity, as well as their topological features, including the fractal dimensions of their topological support.
I am also interested in the asymptotic behavior of random orbits. From a topological perspective, I investigate whether such orbits are dense in the space or accumulate on specific sets of interest. From a distributional perspective, I aim to determine whether these orbits, viewed as a stochastic process, satisfy properties such as the Central Limit Theorem or other limit laws.