Frozen Boundaries and Their Fluctuations in the Square-Ice Model

Frozen Boundaries and Their Fluctuations in the Square-Ice Model

Explore a 48-minute conference talk on the emptiness formation probability (EFP) in the six-vertex model with domain wall boundary conditions. Delve into Filippo Colomo's research on frozen boundaries and their fluctuations in the square-ice model, presented at IPAM's Vertex Models workshop. Discover the explicit, conjectural expression for EFP using finite-size matrix determinants and Fredholm determinants. Examine how the geometric parameters of EFP relate to the arctic curve in the scaling limit, leading to the GUE Tracy-Widom distribution. Gain insights into this collaborative work with A. Pronko, exploring advanced concepts in statistical mechanics and mathematical physics.