Emily Downing

collaborators

2 papers

math.CO2026

Pattern Avoidance for Fibonacci Sequences using $k$ -Regular Words

Emily Downing, Elizabeth Hartung, Cody Lucido +1

Two $k$ -ary Fibonacci recurrences are $a_{k} (n) = a_{k} (n - 1) + k \cdot a_{k} (n - 2)$ and $b_{k} (n) = k \cdot b_{k} (n - 1) + b_{k} (n - 2)$ . We provide a simple proof that $a_{k} (n)$ is the number of $k…

cs.CE2025

Coupling approaches with non-matching grids for classical linear elasticity and bond-based peridynamic models in 1D

Patrick Diehl, Emily Downing, Autumn Edwards +1

Local-nonlocal coupling approaches provide a means to combine the computational efficiency of local models and the accuracy of nonlocal models. To facilitate the coupling of the tw…

Pattern Avoidance for Fibonacci Sequences using k-Regular Words

Coupling approaches with non-matching grids for classical linear elasticity and bond-based peridynamic models in 1D

Pattern Avoidance for Fibonacci Sequences using $k$ -Regular Words