We give a formula in terms of families of non-intersecting lattice paths for iterated actions of the birational rowmotion map on a product of two chains, equivalently a rectangle. This allows us to give a much simpler direct proof of the key fact that the period of this map on a product of chains of lengths r and s is r + s + 2 (first proved by D. Grinberg and the second author) as well as other consequences, as explained in .
|Original language||English (US)|
|State||Published - 2018|
|Event||30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018 - Hanover, United States|
Duration: Jul 16 2018 → Jul 20 2018
|Conference||30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018|
|Period||7/16/18 → 7/20/18|
Bibliographical noteFunding Information:
∗email@example.com. Partially supported by NSF Grant DMS-1362980. †firstname.lastname@example.org
© FPSAC 2018 - 30th international conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.
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- Birational rowmotion
- Dynamical algebraic combinatorics