differential operators 1generating functions 1irreducibility 1lattice walks 1random walks 1recurrence relations 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.CO2026
On the Irreducibility of the Differential Operators Associated to Random Walks in the Standard Euclidean Lattice
Dorin DumitraÅcu, Liviu Suciu
The paper analyzes generating functions for combinatorial sequences arising from random walks on the standard Euclidean lattice, proving that the associated differential operators…
math.CO2024
On the Asymptotics and the Non-Holonomic Character of First Returns in the Standard Euclidean Lattice
Dorin DumitraÅcu, Liviu Suciu
We give precise asymptotics to the number of first time returning random walks in the standard orthogonal lattice in and we prove that these numbers do not form a -…