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Morales and Greta Panova and Leonid Petrov and Damir Yeliussizov}, TITLE = {Grothendieck Shenanigans: Permutons from pipe dreams via integrable probability}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {480}, YEAR = {2025}, MRCLASS = {05B50 (05A19 05E05 06A07)}} @article {rubey2012maximal, AUTHOR = {Rubey, Martin}, TITLE = {Maximal {$0$}-{$1$}-fillings of moon polyominoes with restricted chain lengths and rc-graphs}, JOURNAL = {Adv. in Appl. 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Math.}, volume = {383}, pages = {38}, note = {Id/No 107669}, year = {2021}, language = {English}, doi = {10.1016/j.aim.2021.107669}, keywords = {14N15,05E05,05E10,14M15,68Q17,52B05,68W30,14Q15}, zbMATH = {7337362}, Zbl = {1508.14062} } @article{Gao.2021, title = {Principal specializations of Schubert polynomials and pattern containment}, journal = {European Journal of Combinatorics}, volume = {94}, pages = {103291}, year = {2021}, doi = {https://doi.org/10.1016/j.ejc.2020.103291}, author = {Yibo Gao}, abstract = {The principal specialization νw=Sw(1,…,1) of the Schubert polynomial at w, which equals the degree of the matrix Schubert variety corresponding to w, has attracted a lot of attention in recent years. In this paper, we show that νw is bounded below by 1+p132(w)+p1432(w) where pu(w) is the number of occurrences of the pattern u in w, strengthening a previous result by A. Weigandt. We then make a conjecture relating the principal specialization of Schubert polynomials to pattern containment. Finally, we characterize permutations w whose RC-graphs are connected by simple ladder moves via pattern avoidance.} } @article{Weigandt.2018, author = {Weigandt, Anna E.}, title = {Schubert polynomials, 132-patterns, and {Stanley{\textquoteright}s} conjecture}, journal = {Algebraic Combinatorics}, pages = {415--423}, publisher = {MathOA foundation}, volume = {1}, number = {4}, year = {2018}, doi = {10.5802/alco.27}, zbl = {1397.05205}, mrnumber = {3875071}, language = {en}, } @article {BEZ, AUTHOR = {Bj\"orner, Anders and Edelman, Paul H. and Ziegler, G\"unter M.}, TITLE = {Hyperplane arrangements with a lattice of regions}, JOURNAL = {Discrete Comput. Geom.}, FJOURNAL = {Discrete \& Computational Geometry. An International Journal of Mathematics and Computer Science}, VOLUME = {5}, YEAR = {1990}, NUMBER = {3}, PAGES = {263--288}, DOI = {10.1007/BF02187790}, URL = {https://doi-org.ezp-prod1.hul.harvard.edu/10.1007/BF02187790}, }