Two dimensional dimers beyond planarity

10.06.2025 16:15 – 18:00

Abstract:
We study the dimer model and the spatial random permutation, and prove that on two-dimension like graphs (not necessarily planar), both the correlation function and the loop connectivity probability decays to zero. Our analysis is by introducing a new (complex) spin representation for models belonging to this class, and by deriving a new proof of the Mermin-Wagner theorem which does not require the positivity of the Gibbs measure. Based on joint work with Lorenzo Taggi (Sapienza)

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Séminaire Math Physics

entrée libre