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</script>We discuss the status of recent Gibbsian descriptions of the restriction (projection) of the Ising phases to a layer. We concentrate on the projection of the two-dimensional low temperature Ising phases for which we prove a variational principle.
38 pages
non-Gibbsian states, variational principle, weakly Gibbsian measures, projections, Probability (math.PR), FOS: Mathematics, Interacting random processes; statistical mechanics type models; percolation theory, Classical equilibrium statistical mechanics (general), Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Mathematics - Probability
non-Gibbsian states, variational principle, weakly Gibbsian measures, projections, Probability (math.PR), FOS: Mathematics, Interacting random processes; statistical mechanics type models; percolation theory, Classical equilibrium statistical mechanics (general), Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Mathematics - Probability
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