DOAJ Open Access 2020

Resonance in orbits of plane partitions

Kevin Dilks Oliver Pechenik Jessica Striker

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (3)

Kevin Dilks

Oliver Pechenik

Jessica Striker

Format Sitasi

APA MLA BibTeX

Dilks, K., Pechenik, O., Striker, J. (2020). Resonance in orbits of plane partitions. https://doi.org/10.46298/dmtcs.6394

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6394

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6394
Akses: Open Access ✓