Random walk
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In mathematics, a random walk is a stochastic process that describes a path that consists of a succession of random steps on some mathematical space.
Antony Gormley's Quantum Cloud sculpture in London was designed by a computer using a random walk algorithm
Snowflake pattern made using random walk diffusion limited aggregation
Brownian motion
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Brownian motion is the random motion of particles suspended in a medium. The traditional mathematical formulation of Brownian motion is that of the Wiener process, which is often itself called "Browni
Random walk
…and at each step moves +1 or −1 with equal probability. Other examples include the path traced by a molecule as it travels in a liquid or a gas (see Brownian motion), the search path of a foraging animal, or the price of a fluctuating stock and the financial status of a gambler. Random walks have applications to…
Perrin examined the equilibrium (barometric distribution) of granules (0.6 microns) of gamboge, a viscous substance, under the microscope. The granules move against gravity to regions of lower concentration. The relative change in density observed in 10 microns of suspension is equivalent to that occurring in 6 km of air.
Brownian motion on a sphere