In this notes, we study the large deviation principle for the dynamic model of three dimensional Young diagrams, having the jump rate originally given by . We employ the level-set function approach discussed in . Our argument is rather heuristic by relying on the assumption of local equilibrium and the local ergodicity for slope variables. We are planning to give rigorous proofs in  based on a different formulation due to height functions and dimer-cover picture as in .
Digital Object Identifier: 10.2969/aspm/08710227