The CLE gasket measure for κ in (4,8) equals the Minkowski content limit and related covering approximations.
The Ising magnetisation field and the Gaussian free field
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Renormalized two-point functions for CLE4 gaskets are computed probabilistically via loop soups and GFF, corresponding to Ashkin-Teller spin correlations and recovering Ising at the decoupling point.
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Minkowski content construction of the CLE gasket measure
The CLE gasket measure for κ in (4,8) equals the Minkowski content limit and related covering approximations.
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Renormalised two-point functions of CLE$_4$ gaskets
Renormalized two-point functions for CLE4 gaskets are computed probabilistically via loop soups and GFF, corresponding to Ashkin-Teller spin correlations and recovering Ising at the decoupling point.