Walks in simplices, cylindric tableaux, and asymmetric exclusion processes

zbMath1515.05196MaRDI QIDQ6103858

Sergi Elizalde

Publication date: 5 June 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2022//8.html

zbMATH Keywords

TASEPconstrained walkcylindric RSKcylindric tableau

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10)

Cites Work

• Robinson-Schensted algorithms for skew tableaux
• On the number of walks in a triangular domain
• Toric tableaux and the inhomogeneous two-species TASEP on a ring
• Stationary distributions of multi-type totally asymmetric exclusion processes
• Affine approach to quantum Schubert calculus
• Cylindric skew Schur functions
• Bijections between walks inside a triangular domain and Motzkin paths of bounded amplitude
• From multiline queues to Macdonald polynomials via the exclusion process
• Cylindric Partitions