Publications

Preprint

1. Enumerating vector parking functions and their outcomes based on specified lucky cars. Melanie Ferreri, Pamela E. Harris, Lucy Martinez, and Eric Swartz.
   [arXiv]
2. A symbolic computational approach to the generalized gambler's ruin problem in one and two dimensions. Lucy Martinez.
   [arXiv][Github]



Accepted/In Press

1. Primeness of generalized parking functions. Sam Armon, Joanne Beckford, Dillon Hanson, Naomi Krawzik, Olya Mandelshtam, Lucy Martinez, and Catherine Yan. To appear in The Electronic Journal of Combinatorics.
   [arXiv]
2. Parking functions with a fixed set of lucky cars. Pamela E. Harris and Lucy Martinez. To appear in the Bulletin of the Institute of Combinatorics and its Applications.
   [arXiv]



Published

1. Hitting k primes by dice rolls. Noga Alon, Yaakov Malinovsky, Lucy Martinez, and Doron Zeilberger. The Electronic Journal of Combinatorics, Vol. 32 (2025), no. 4, P4.16.
   [journal link] [arXiv] [Maple package] [News article]
2. Pullback parking functions. Jennifer Elder, Pamela E. Harris, Lybitina Koene, Ilana Lavene, Lucy Martinez, and Molly Oldham. American Journal of Combinatorics, Vol 4 (2025), 1-22.
   [journal link ] [arXiv]
3. A guide to the risk-averse gambler and resolving the St. Petersburg paradox once and for all. Lucy Martinez and Doron Zeilberger. The College of Mathematics Journal, Vol 55 (2024), no. 3, 226-234.
   [journal link] [arXiv]
4. Repetitions of Pak-Stanley labels in G-Shi arrangements. Cara Bennett, Lucy Martinez, Ava Mock, Gordon Rojas Kirby, and Robin Truax. Discrete Mathematics, Vol. 347 (2024), no. 9.
   [journal link] [arXiv]
5. On Kostant’s weight q-multiplicity formula for sl_4(C). Rebecca. E. Garcia, Pamela E. Harris, Marissa Loving, Lucy Martinez, David Melendez, Joseph Rennie, Gordon Rojas Kirby, and Daniel Tinoco. Applicable Algebra in Engineering, Communication and Computing, Vol. 33 (2022), no. 4, 353-418.
   Received award for 2022 Best Paper in AAECC! [ link ]
   [journal link] [arXiv]

Expository Writing

1. How many dice rolls would it take to reach your favorite kind of number? Lucy Martinez and Doron Zeilberger. Maple Transactions, Vol 3 (2023), no. 3, Article 15953.
   [journal link] [arXiv] [OEIS]