2 papers
math.CO2026
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…
math.CO2025
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…