I am a professor in the Department of Mathemtics at the Friedrich Schiller University Jena (this year on leave at Texas A&M).

My research revolves around the study of random phenomena that happen in environments with fractal-like features.
In particular I am interested in how the time evolution of these processes is connected to the analysis and geometry of the environment they take place in.

The mathematics involved in my investigations lie at the crossroads of Analysis (function spaces, harmonic analysis), Probability (continuous-time Markov processes, Dirichlet forms, heat kernels) and Geometry (metric measure theory, fractal geometry).

I find this area of research a truly fascinating one! If you would like to read more about it, or the work me and my collaborators do, feel free to browse this Notices article I wrote in 2023, any of my papers available on arXiv, or contact me :)

mail: patricia.alonso.ruiz(at)uni-jena.de

arXiv profile