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[Herdeiro & Doyon Phys., Rev., E (2016)]https://journals.aps.org/pre/abstract/10.1103/PhysRevE.94.043322 introduced anumerical recipe, dubbed UV sampler, offering precise estimations of the CFTdata of the planar two-dimensional critical Ising model. It made use of scaleinvariance emerging at the critical point in order to sample finite sublatticemarginals of the infinite plane Gibbs measure of the model by producing``holographic" boundary distributions. The main ingredient of the Markov chainMonteCarlo (MCMC) sampler is the invariance under dilation. This articlepresents a generalization to higher dimensions with the critical 3d Isingmodel. This leads to numerical estimations of a subset of the CFT data -scaling weights and structure constants - through fitting of measuredcorrelation functions. The results are shown to agree with the recent mostprecise estimations from numerical bootstrap methods\href{https://arxiv.org/abs/1603.04436}{[Kos,\;Poland,\;Vicci\;\&\;Simmons-DuffinJHEP (2016)]}.

Numerical estimation of structure constants in the 3d Ising CFT through Markov chain UV sampler