Research interests

SG-cells My work focuses on investigating how probabilistic techniques and functional inequalities can be applied and extended to gain a better understanding of the connections between analytic, geometric and probabilistic aspects of stochastic processes in highly porous and non-smooth settings.
Examples of this kind of spaces include the Sierpinski gasket (hand-made picture), the Sierpinski carpet, the Vicsek set, diamond fractals, general polygaskets and so-called fractional spaces.

A full list of my publications is available on arXiv.

Fall 2020 marked the start of the TAMU Fractals Research Team at Texas A&M. Check out our website, our work may draw your interest!


Preprints


Publications


Research with students

Fall 2020 marked the start of the TAMU Fractals Research Team at Texas A&M!