Frozen Boundaries and Their Fluctuations in the Square-Ice Model
Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube
Course Description
Overview
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.
Syllabus
Filippo Colomo - Frozen boundaries and their fluctuations in the square-ice model - IPAM at UCLA
Taught by
Institute for Pure & Applied Mathematics (IPAM)
Related Courses
Statistical Mechanics: Algorithms and ComputationsÉcole normale supérieure via Coursera Physics of Materials
Indian Institute of Technology Madras via Swayam From Atoms to Materials: Predictive Theory and Simulations
Purdue University via edX Statistical Mechanics
Indian Institute of Technology Madras via Swayam Thermodynamics: Classical To Statistical
Indian Institute of Technology Guwahati via Swayam