Proves joint Gaussianity of the first four coordinates suffices for an infinite exchangeable sequence with Gaussian marginals to be a Gaussian process, plus a two-point criterion under infinite divisibility of the directing measure.
On the representation theorem for exchangeable arrays
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Rigidity of infinite exchangeable sequences with Gaussian marginals
Proves joint Gaussianity of the first four coordinates suffices for an infinite exchangeable sequence with Gaussian marginals to be a Gaussian process, plus a two-point criterion under infinite divisibility of the directing measure.