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Fig. 10

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Statistical constraints on deviations from spatial homogeneity on radial scales r< 3 Gpc. The fluctuations in the matter density profile were modelled in terms of cubic splines with three equidistant nodes at r1 = 0, r2 = 1 Gpc and r3 = 2 Gpc. Constraints approaching r = 3 Gpc should be considered artificial, since the models are forced to converge to the background density at this radius. The models were constrained by data from the local Hubble rate, supernovae, the CMB, and kSZ clusters.

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