Lejla Smajlovi'c

activity

20222026

collaborators

4 papers

math.SP2026

Discrete Space-Time Wave Kernels on Regular Trees

Amar Bašić, Lejla Smajlović, Zenan Šabanac

We study the forward discrete space-time wave equation on the homogeneous $(q + 1)$ -regular tree $T_{q + 1}$ associated with a two-parameter generalized Laplacian. Under the natural no…

math.CO2026

Discrete Space-Time Wave Kernels and Trace Identities on Regular Graphs

Amar Bašić, Lejla Smajlović, Zenan Šabanac

We study the discrete space-time wave equation on a $(q + 1)$ -regular graph $X$ associated with the affine Laplace-type operator. For the forward time-difference scheme we derive exp…

math.CO2023

The resolvent kernel on the discrete circle and twisted cosecant sums

Jay Jorgenson, Anders Karlsson, Lejla Smajlović

Let $X_{m}$ denote the discrete circle with $m$ vertices. For $x, y \in X_{m}$ and complex $s$ , let $G_{X_{m}, χ_{β}} (x, y; s)$ be the resolvent kernel associated to the combinatorial Laplaci…

math.PR2022

Discrete diffusion-type equation on regular graphs and its applications

Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2

We derive an explicit formula for the fundamental solution $K_{T_{q + 1}} (x, x_{0}; t)$ to the discrete-time diffusion equation on the $(q + 1)$ -regular tree $T_{q + 1}$ in terms of the di…