ASL_d(Z)-invariant point processes on Z^d arise from random SL_d(Z)-equivariant polynomials combined with independent site retention.
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${\mathrm{ASL}_n}(\mathbb Z)$ invariant random subsets of $\mathbb Z^n$
ASL_d(Z)-invariant point processes on Z^d arise from random SL_d(Z)-equivariant polynomials combined with independent site retention.