3 papers
math.CO2022
Dyck paths with catastrophes modulo the positions of a given pattern
Jean-Luc Baril, Sergey Kirgizov, Armen Petrossian
For any pattern of length at most two, we provide generating functions and asymptotic approximations for the number of -equivalence classes of Dyck paths with catastrophes,…
math.CO2019
Pattern distributions in Dyck paths with a first return decomposition constrained by height
Jean-Luc Baril, Richard Genestier, Sergey Kirgizov
We provide generating functions for the popularity and the distribution of patterns of length at most three over the set of Dyck paths having a first return decomposition constrain…
math.CO2018
Enumeration of Łukasiewicz paths modulo some patterns
Jean-Luc Baril, Sergey Kirgizov, Armen Petrossian
For any pattern of length at most two, we enumerate equivalence classes of Łukasiewicz paths of length where two paths are equivalent whenever the occurrence position…