Kevin Dilks ; Oliver Pechenik ; Jessica Striker - Resonance in orbits of plane partitions

dmtcs:6394 - Discrete Mathematics & Theoretical Computer Science, April 22, 2020, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) - https://doi.org/10.46298/dmtcs.6394
Resonance in orbits of plane partitionsConference paper

Authors: Kevin Dilks 1; Oliver Pechenik ORCID2; Jessica Striker 1

  • 1 Department of Mathematics [Fargo]
  • 2 Department of Mathematics [Urbana]


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.

https://doi.org/10.46298/dmtcs.6394
Source: HAL:hal-02173383v1
Volume: DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
Published on: April 22, 2020
Imported on: July 4, 2016
Keywords: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]

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