Scaling Limits and Universality of Ising and Dimer Models

Explore the concept of universality in statistical mechanics and its significance for understanding macroscopic behavior of interacting systems in this 46-minute lecture by Alessandro Giuliani. Delve into recent advancements in comprehending the scaling limit of lattice critical models, including a quantitative characterization of limiting distribution and the resilience of the limit under microscopic Hamiltonian perturbations. Focus on findings from two classes of non-exactly-solvable two-dimensional systems: non-planar Ising models and interacting dimers. Gain insights from joint research with Giovanni Antinucci, Rafael Greenblatt, Vieri Mastropietro, and Fabio Toninelli. Access accompanying presentation slides for a comprehensive understanding of this International Mathematical Union lecture.

Alessandro Giuliani: Scaling limits and universality of Ising and dimer models