Geodesic
Free fermionic probability theory and k-theoretic schubert calculus
Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e197

Voir la notice de l'article provenant de la source Cambridge University Press

For each of the four particle processes given by Dieker and Warren, we show the n-step transition kernels are given by the (dual) (weak) refined symmetric Grothendieck functions up to a simple overall factor. We do so by encoding the particle dynamics as the basis of free fermions first introduced by the first author, which we translate into deformed Schur operators acting on partitions. We provide a direct combinatorial proof of this relationship in each case, where the defining tableaux naturally describe the particle motions. 
Iwao, Shinsuke; Motegi, Kohei; Scrimshaw, Travis. Free fermionic probability theory and k-theoretic schubert calculus. Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e197. doi: 10.1017/fms.2025.10146
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