Researchers used algebra and geometry together to solve an old random walk problem. Random walk ideas have informed everything from biology to video games. This team identified a key geometry idea ...

Random walks constitute a fundamental model in probability theory, widely employed to elucidate diffusion processes and random fluctuations in disordered systems. The Gaussian free field (GFF) ...

An interesting paper making the point that you can too forecast foreign exchange rates. Not, of course, at the hour to hour level where people speculate at leverage of 500:1, but over longer time ...

Why is it that when you walk randomly, the more you walk, the farther you get from your starting point?

That was the “classical” random walk - which just means when we described it, we did not have to use any quantum mechanics. To describe a “quantum” random walk, we replace our coin with a quantum coin ...