@misc{Parisi, AUTHOR = {M. Parisi and M. Sherman-Bennett and L. K. Williams}, EPRINT = {2104.08254}, EPRINTTYPE = {arxiv}, TITLE = {The $m=2$ amplituhedron and the hypersimplex: signs, clusters, triangulations, Eulerian numbers}, YEAR = {2021}}

@article{Schutzenberger1,
Author={M.-P. Sch\"utzenberger},
Journal={Canad. J. Math.},
Number={},
Pages={117--128},
Title={Quelques remarques sur une construction de {S}chensted},
Volume={13},
Year={1961}}

@article{Schutzenberger2,
Author={M.-P. Sch\"utzenberger},
Journal={Discrete Math.},
Number={},
Pages={73--94},
Title={Promotion des morphismes d'ensembles ordonn\'es},
Volume={2},
Year={1972}}

@article{Haiman,
Author={M. D. Haiman},
Journal={Discrete Math.},
Number={},
Pages={79--113},
Title={Dual equivalence with applications, including a conjecture of {P}roctor},
Volume={99},
Year={1992}}


@article{DefantFriends,
Author={C. Defant and N. Kravitz},
Journal={Comb. Theory},
Number={},
Pages={},
Title={Friends and strangers walking on graphs},
Volume={1},
Year={2021}}

@article{CSPDefinition,
Author={V. Reiner and D. Stanton and D. White},
Journal={J. Combin. Theory Ser. A},
Number={},
Pages={17--50},
Title={The cyclic sieving phenomenon},
Volume={108},
Year={2004}}

@article{Malvenuto,
Author={C. Malvenuto and C. Reutenauer},
Journal={Discrete Math.},
Number={},
Pages={137--143},
Title={Evacuation of labelled graphs},
Volume={132},
Year={1994}}


@article{DefantToric,
Author={C. Defant},
Journal={Proc. Amer. Math. Soc.},
Number={},
Pages={},
Title={Toric promotion},
Volume={150},
Year={2022}}

@misc{Permutoric, 
AUTHOR = {C. Defant and  R. Madhukara and H. Thomas}, EPRINT = {2305.19961}, EPRINTTYPE = {arXiv}, TITLE = {Permutoric promotion: gliding globs, sliding stones, and colliding coins}, YEAR = {2023}}


@article{Develin,
Author={M. Develin and M. Macauley and V. Reiner},
Journal={Trans. Amer. Math. Soc.},
Number={},
Pages={2263--2287},
Title={Toric partial orders},
Volume={368},
Year={2016}}

@article{AdinCyclic,
Author={R. M. Adin and V. Reiner and Y. Roichman},
Journal={Int. Math. Res. Not. IMRN},
Number={},
Pages={10231--10276},
Title={On cyclic descents for tableaux},
Volume={2020},
Year={2020}}

@book{Arkani1,
      title     = "Grassmannian geometry of scattering amplitudes",
      author    = "N. Arkani-Hamed and J. Bourjaily and F. Cachazo and A. Goncharov and A. Postnikov and J. Trnka",
      year      = 2016,
      publisher = "Cambridge University Press",
      address   = "Cambridge"
    }