4 citations · 10 across the 6 of their papers we have counts for
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Random shuffles on trees using extended promotion
Svetlana Poznanović, Kara Stasikelis
The Tsetlin library is a very well studied model for the way an arrangement of books on a library shelf evolves over time. One of the most interesting properties of this Markov cha…
Properties of the Promotion Markov Chain on Linear Extensions
Svetlana Poznanović, Kara Stasikelis
The Tsetlin library is a very well studied model for the way an arrangement of books on a library shelf evolves over time. One of the most interesting properties of this Markov cha…
On Dantzig figures from graded lexicographic orders
Akshay Gupte, Svetlana Poznanović
We construct two families of Dantzig figures, which are -polytopes with an antipodal vertex pair, from convex hulls of initial subsets for the graded lexicographic (grlex)…
Graphical Mahonian Statistics on Words
Amy Grady, Svetlana Poznanović
Foata and Zeilberger defined the graphical major index, , and the graphical inversion index, , for words. These statistics are a generalization of…
Sorting Index and Mahonian-Stirling Pairs for Labeled Forests
Amy Grady, Svetlana Poznanovik
Björner and Wachs defined a major index for labeled plane forests and showed that it has the same distribution as the number of inversions. We define and study the distributions of…
Maximal increasing sequences in fillings of almost-moon polyominoes
Svetlana Poznanovik, Catherine H. Yan
It was proved by Rubey that the number of fillings with zeros and ones of a given moon polyomino that do not contain a northeast chain of size depends only on the set of column…
Major Index for 01-Fillings of Moon Polyominoes
William Y. C. Chen, Svetlana Poznanovik, Catherine H. Yan +1
We propose a major index statistic on 01-fillings of moon polyominoes which, when specialized to certain shapes, reduces to the major index for permutations and set partitions. We…
A Bijection Between Partially Directed Paths in the Symmetric Wedge and Matchings
Svetlana Poznanovik
We give a bijection between partially directed paths in the symmetric wedge y= +/-x and matchings, which sends north steps to nestings. This gives a bijective proof of a result of…