The Uniform Even Subgraph and Its Connection to Phase Transitions of Graphical Representations of the Ising Model

Ulrik Thinggaard Hansen, Boris Kjær, Frederik Ravn Klausen

The uniform even subgraph is intimately related to the Ising model, the random-cluster model, the random current model, and the loop $\mathrm{O}$(1) model. In this paper, we first…