We consider a real scalar field in de Sitter background and compute its
thermal propagators. We propose that in a dS/CFT context, non-trivial thermal
effects as seen by an ‘out’ observer can be encoded in the anomalous dimensions
of the $d = 3$ Ising model. One of these anomalous dimensions, the critical
exponent $\eta$, fixes completely a number of cosmological observables, which
we compute

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