Geodesic
Resonance in orbits of plane partitions
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020).

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We introduce a new concept of resonance on discrete dynamical systems. Our main result is an equivariant bijection between plane partitions in a box under rowmotion and increasing tableaux under K-promotion, using a generalization of the equivariance of promotion and rowmotion [J. Striker–N. Williams '12] to higher dimensional lattices. This theorem implies new results for K-promotion and new proofs of previous results on plane partitions. 
@article{DMTCS_2020_special_379_a76,
     author = {Dilks, Kevin and Pechenik, Oliver and Striker, Jessica},
     title = {Resonance in orbits of plane partitions},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)},
     year = {2020},
     doi = {10.46298/dmtcs.6394},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6394/}
}
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Dilks, Kevin; Pechenik, Oliver; Striker, Jessica. Resonance in orbits of plane partitions. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020). doi : 10.46298/dmtcs.6394. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6394/

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