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Discrete holomorphicity and Ising model operator formalism
Clément Hongler, Kalle Kytölä, Ali Zahabi
We explore the connection between the transfer matrix formalism and discrete complex analysis approach to the two dimensional Ising model. We construct a discrete analytic continua…
Conformal Invariance of Spin Correlations in the Planar Ising Model
Dmitry Chelkak, Clément Hongler, Konstantin Izyurov
We rigorously prove the existence and the conformal invariance of scaling limits of the magnetization and multi-point spin correlations in the critical Ising model on arbitrary sim…
Hardy Spaces and Boundary Conditions from the Ising Model
Clément Hongler, Duong Hong Phong
Functions in Hardy spaces on multiply-connected domains in the plane are given an explicit characterization in terms of a boundary condition inspired by the two-dimensional Ising m…