3 papers
math.CO2025
Enumerating Vector Parking Functions and their Outcomes Based on Specified Lucky Cars
Melanie Ferreri, Pamela E. Harris, Lucy Martinez +1
In a parking function, a car is considered lucky if it is able to park in its preferred spot. Extending work of Harris and Martinez, we enumerate outcomes of parking functions with…
math.CO2024
A symbolic computational approach to the generalized gambler's ruin problem in one and two dimensions
Lucy Martinez
The power of symbolic computation, as opposed to mere numerical computation, is illustrated with efficient algorithms for studying the generalized gambler's ruin problem in one and…
math.CO2024
Parking functions with a fixed set of lucky cars
Pamela E. Harris, Lucy Martinez
In a parking function, a lucky car is a car that parks in its preferred parking spot and the parking outcome is the permutation encoding the order in which the cars park on the str…