From the 1 of 12 linked papers with an AI index.
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A bijection on balanced words reversing both and
Arvind Ayyer, Naren Sundaravaradan
Balanced words on a finite alphabet are those words in which every letter of the alphabet occurs the same number of times. The notion of descents and major index extends in a natur…
-deformations of the Tsetlin library
Arvind Ayyer, Sarah Brauner, Jan de Gier +1
The Tsetlin library is a random shuffling process on permutations of letters, where each letter can be interpreted as a book; book is brought to the front of the booksh…
Further results for classical and universal characters twisted by roots of unity
Arvind Ayyer, Nishu Kumari
We revisit factorizations of classical characters under various specializations, some old and some new. We first show that all characters of classical families of groups twisted by…
An area-bounce exchanging bijection on a large subset of Dyck paths
Arvind Ayyer, Naren Sundaravaradan
It is a longstanding open problem to find a bijection exchanging area and bounce statistics on Dyck paths. We settle this problem for an exponentially large subset of Dyck paths vi…
Modified Macdonald polynomials and the multispecies zero range process: II
Arvind Ayyer, Olya Mandelshtam, James B. Martin
In a previous part of this work, we gave a new tableau formula for the modified Macdonald polynomials , using a weight on tableaux involving the \emph{queu…
Cores of partitions in rectangles
Arvind Ayyer, Shubham Sinha
For a positive integer , the -core of a partition plays an important role in modular representation theory and combinatorics. We initiate the study of -cores of par…