13 citations · 39 across the 22 of their papers we have counts for
26 papers
Pseudo-involutions in the Riordan group and Chebyshev polynomials
Alexander Burstein, Louis W. Shapiro
Generalizing the results in our previous paper, we consider pseudo-involutions in the Riordan group where the generating function for the first column of a Riordan array satisf…
On (shape-)Wilf-equivalence of certain sets of (partially ordered) patterns
Alexander Burstein, Tian Han, Sergey Kitaev +1
We prove a conjecture of Gao and Kitaev on Wilf-equivalence of sets of patterns {12345,12354} and {45123,45213} that extends the list of 10 related conjectures proved in the litera…
Distribution of sets of descent tops and descent bottoms on restricted permutations
Alexander Burstein
In this note, we prove some and conjecture other results regarding the distribution of descent top and descent bottom sets on some pattern-avoiding permutations. In particular, for…
Pseudo-involutions in the Riordan group
Alexander Burstein, Louis W. Shapiro
We consider pseudo-involutions in the Riordan group where the generating function for the first column of a Riordan array satisfies a palindromic or near-palindromic functional…
Permutations with exactly one copy of a decreasing pattern of length k
Miklós Bóna, Alexander Burstein
We construct an injection from the set of permutations of length that contain exactly one copy of the decreasing pattern of length to the set of permutations of length $n+2…
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 -ary faro words, i.e. words over the alphabet obtained by interlacing the letters of two n…