How Random Walks and Diffusion Reveal Secrets of Networks
Think of clicking through web pages or animals wandering in a forest — that's a simple picture of random walks.
They shows how things drift, spread, or bump into each other across a web of links.
By watching many short, simple steps researchers can spot who or what matters most, or where groups gather, even when the map is messy.
These tiny moves also explain diffusion—how ideas, rumors, or infections flow.
On big maps of people and places, called networks, that flow can point to hidden hubs and close-knit clusters that otherwise stay unseen.
Tools inspired by this idea power features like PageRank that sorts important pages, and they help find communities or track how opinions drift.
It sounds small, but simple steps give big clues, and sometimes the most ordinary paths tell the most surprising stories.
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Random walks and diffusion on networks
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