On the finite-dimensional marginals of shift-invariant measures

J. -R. Chazottes, J. -M. Gambaudo, M. Hochman +1

Let $\Sigma$ be a finite alphabet, $\Omega ={\Sigma }^{{\mathbb{Z}}^d}$ equipped with the shift action, and $\mathcal{I}$ the simplex of shift-invariant measures on $\Omega$. We study the relation between…