3 papers
nlin.CG2026
The Binary Crisis Clock: Controlled by Sparse Ternary Interventions
MaÅgorzata Nowak-KÈ©pczyk
We investigate modular Laplacian automata on triangular lattices with evolution governed by binary and ternary moduli. Extending previous studies on square lattices, we examine how…
math.DS2026
Fractal Patterns in Discrete Laplacians: Iterative Construction on 2D Square Lattices
MaÅgorzata Nowak-KÄpczyk
We investigate the iterative construction of discrete Laplacians on 2D square lattices, revealing emergent fractal-like patterns shaped by modular arithmetic. While classical 2222-…
nlin.CG2025
Frobenius Revivals in Laplacian Cellular Automata: Chaos, Replication, and Reversible Encoding
MaÅgorzata Nowak-KÄpczyk
We investigate Frobenius-driven revivals in prime-modulus Laplacian cellular automata, a phenomenon in which long chaotic transients collapse into exact, multi-tile replicas of an…