A. Burstein

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20012025

most citedCombinatorics of patience sorting piles

13 citations · 39 across the 22 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.CO2020

Pattern statistics in faro words and permutations

Jean-Luc Baril, Alexander Burstein, Sergey Kirgizov

We study the distribution and the popularity of some patterns in $k$ -ary faro words, i.e. words over the alphabet ${1, 2, \dots, k}$ obtained by interlacing the letters of two n…

math.CO2020★ 2 cited

Distribution of peak heights modulo $k$ and double descents on $k$ -Dyck paths

Alexander Burstein

We show that the distribution of the number of peaks at height $i$ modulo $k$ in $k$ -Dyck paths of a given length is independent of $i \in [0, k - 1]$ and is the reversal of the distrib…

math.CO2020

Enumeration of Dumont permutations avoiding certain four-letter patterns

Alexander Burstein, Opel Jones

In this paper, we enumerate Dumont permutations of the fourth kind avoiding or containing certain permutations of length 4. We also conjecture a Wilf-equivalence of two 4-letter pa…

Pattern statistics in faro words and permutations

Distribution of peak heights modulo k and double descents on k-Dyck paths

Enumeration of Dumont permutations avoiding certain four-letter patterns

Distribution of peak heights modulo $k$ and double descents on $k$ -Dyck paths