Caminhadas aleatórias sobre rede de tipo vitória-régia

Abstract

This work investigates the dynamics of information transport in complex networks inspired by the fractal geometry of the Victoria amazonica, modeled through classical and quantum random walks. The structure, based on a radial-fractal pattern that organizes nodes into hierarchically interconnected concentric layers, allows us to study how a natural topology influences classical diffusion and quantum coherence effects. From this pattern, a simulation code was developed to calculate average occupancy probabilities, providing a quantitative tool for evaluating transport efficiency in the network. The results demonstrate how the specific network topology influences transport efficiency, suggesting that biomimetic patterns, such as the Victoria amazonica, may offer advantages for the design of more robust and efficient communication and transportation systems.