Research

I work on Gibbs point processes, which model systems of interacting particles within the framework of statistical physics. A central part of my research focuses on the non-uniqueness of infinite-volume Gibbs measures, which signals the presence of phase transitions in physical systems. During my PhD, I studied such transitions in models with saturated interactions, and I am currently extending this analysis to systems that includes hardcore interactions, using Pirogov–Sinaï–Zahradník methods.

I am also interested in Gibbsian perturbed lattices, hybrid models that lie between discrete lattice systems and continuous space point processes. These models strike a balance between structural rigidity (hyperuniformity) and random flexibility, making them particularly suitable for numerical integration methods, especially Monte Carlo approaches. I am developing parameter estimation techniques, inspired by Takacs-Fiksel methods, adapted to settings where we observe the particles' final positions, with or without knowledge of their original lattice sites.