Plane overpartitions and cylindric partitions

DOI10.1016/j.jcta.2010.12.001zbMath1231.05011arXiv0903.2039OpenAlexW2018270250MaRDI QIDQ2431602

Mirjana Vuletić, Cyrille Savelief, Sylvie Corteel

Publication date: 15 April 2011

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.2039

zbMATH Keywords

symmetric functionsRSK algorithmnonintersecting pathscylindric partitionsplane overpartitions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05)

Related Items (9)

The free boundary Schur process and applications. I ⋮ Congruences for restricted plane overpartitions modulo 4 and 8 ⋮ From Aztec diamonds to pyramids: Steep tilings ⋮ Sign changes in statistics for plane partitions ⋮ The 𝐴₂ Andrews–Gordon identities and cylindric partitions ⋮ Rogers-Ramanujan identities and the Robinson-Schensted-Knuth correspondence ⋮ Skew doubled shifted plane partitions: calculus and asymptotics ⋮ Free field theory and observables of periodic Macdonald processes ⋮ The \(A_2\) Rogers-Ramanujan identities revisited

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Coincidence probabilities
• Coincidence properties of birth and death processes
• Hook flag characters and their combinatorics
• Binomial determinants, paths, and hook length formulae
• Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
• The Hillman-Grassl correspondence and the enumeration of reverse plane partitions
• Determinants of super-Schur functions, lattice paths, and dotted plane partitions
• Nonintersecting paths, pfaffians, and plane partitions
• A bijective proof of the hook-content formula for super Schur functions and a modified jeu de taquin
• Periodic Schur process and cylindric partitions
• The arctic circle boundary and the Airy process
• Permutations, matrices, and generalized Young tableaux
• Enumeration of plane partitions
• Advanced determinant calculus: a complement
• A generalization of MacMahon’s formula
• Overpartitions
• Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
• Hall-Littlewood Plane Partitions and KP
• The Shifted Schur Process and Asymptotics of Large Random Strict Plane Partitions
• On the Vector Representations of Induced Matroids
• Cylindric Partitions

This page was built for publication: Plane overpartitions and cylindric partitions