Marek Biskup

collaborators

2 papers

math.PR2025

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models

Marek Biskup, Haiyu Huang

Given a square box $I^_{n} \subseteq Z^{2}$ of side length $L^{n}$ with $L, n > 1$ , we study hierarchical random fields ${I ¨ _{x} : x \in I^_{n}}$ with law proportional to ${\rm e}^{\f…

math.PR2025

Extremal properties of the random walk local time

Marek Biskup

These are expanded lecture notes for a minicourse taught at the "School on disordered media" at the Alfred Renyi institute in Budapest, January 2025.