By Raimundo Briceño and Ronnie Pavlov

Given a countable graph *\mathcal{G}* and a finite graph *\mathrm{H}*, we consider *\mathrm{Hom}(\mathcal{G},\mathrm{H})* the set of graph homomorphisms from *\mathcal{G}* to *\mathrm{H}* and we study Gibbs measures supported on *\mathrm{Hom}(\mathcal{G},\mathrm{H})* . We develop some sufficient and other necessary conditions on *\mathrm{Hom}(\mathcal{G},\mathrm{H})* for the existence of Gibbs specifications satisfying strong spatial... Show more

October 6, 2015

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Strong spatial mixing in homomorphism spaces

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