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Switching identities for loop-soups and consequences

By Wendelin Werner

Appears in collection : Perfectly matched perspectives on statistical mechanics, combinatorics and geometry / Perspectives couplées sur la mécanique statistique, la combinatoire et la géométrie

I will describe new and possibly surprising identities in law for loop-soups and Gaussian Free Fields on cable graphs, that allow to describe in simple terms the law of configurations when conditioned on connections to exist. I will discuss some consequences, including in directions inspired by Rick Kenyon's ideas.

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  • DOI 10.24350/CIRM.V.20364903
  • Cite this video Werner, Wendelin (17/06/2025). Switching identities for loop-soups and consequences. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20364903
  • URL https://dx.doi.org/10.24350/CIRM.V.20364903

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