L. Suciu

collaborators

2 papers

math.CO2026

On the Irreducibility of the Differential Operators Associated to Random Walks in the Standard Euclidean Lattice

Dorin Dumitraşcu, Liviu Suciu

For a positive integer $d \geq 1$ , we consider the sequences $(A_{n}^{(d)})_{n}$ and $(x_{n}^{(d)})_{n}$ given by $$ A_{n}^{(d)} =\sum_{n_1+\dots+n_d=n} \frac{(2n)!}{(n_1!)^2 (n_2!)^2 \…

math.CO2022

On the Asymptotics and the Non-Holonomic Character of First Returns in the Standard Euclidean Lattice

Dorin Dumitraşcu, Liviu Suciu

We give precise asymptotics to the number of first time returning random walks in the standard orthogonal lattice in $R$ and we prove that these numbers do not form a $P$ -…