Switching Identities for Loop-Soups and Consequences

Explore new mathematical identities in law for loop-soups and Gaussian Free Fields on cable graphs in this conference talk by Wendelin Werner. Discover surprising switching identities that enable simple descriptions of configuration laws when conditioned on existing connections. Learn about the mathematical consequences of these identities, including developments inspired by Rick Kenyon's research ideas. Gain insights into advanced topics in statistical mechanics and mathematical physics through this presentation delivered at the Centre International de Rencontres Mathématiques during the thematic meeting "Perfectly matched perspectives on statistical mechanics, combinatorics and geometry."