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Journal article
Corners in Tree-Like Tableaux
The Electronic journal of combinatorics, v 23(4)
10 Nov 2016
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
In this paper, we study tree-like tableaux, combinatorial objects which exhibit a natural tree structure and are connected to the partially asymmetric simple exclusion process (PASEP). There was a conjecture made on the total number of corners in tree-like tableaux and the total number of corners in symmetric tree-like tableaux. In this paper, we prove both conjectures. Our proofs are based on the bijection with permutation tableaux or type-B permutation tableaux and consequently, we also prove results for these tableaux. In addition, we derive the limiting distribution of the number of occupied corners in random tree-like tableaux and random symmetric tree-like tableaux.
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Details
- Title
- Corners in Tree-Like Tableaux
- Creators
- Pawel Hitczenko - Drexel UniversityAmanda Lohss - Drexel University
- Publication Details
- The Electronic journal of combinatorics, v 23(4)
- Publisher
- Electronic Journal Of Combinatorics
- Number of pages
- 18
- Grant note
- 208766 / Simons Foundation
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000598473800008
- Scopus ID
- 2-s2.0-84996644313
- Other Identifier
- 991019170578104721
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- Web of Science research areas
- Mathematics
- Mathematics, Applied