KnowraWiener processLinked fromLinked fromThe 23 pages that link to Wiener process, each with the reason it gives.All 23Broader topic 10Related 10Narrower topic 2Compared with 1Brownian motionBroader topic: It is the idealized mathematical path underlying standard Brownian motion.Stochastic processBroader topic: It models diffusion and underlies many continuous-time stochastic models.RandomnessBroader topic: It is a precise mathematical model for continuously varying random motion.Norbert WienerBroader topic: This mathematical model bears Wiener’s name and underpins his work on Brownian motion.MartingaleBroader topic: Standard Brownian motion is a canonical continuous-time martingale.White noiseBroader topic: Its formal derivative is idealized as continuous-time white noise.Kolmogorov extension theoremBroader topic: Its finite-dimensional laws determine a process law through extension, with path properties requiring further arguments.Kolmogorov continuity theoremBroader topic: Its increment moments satisfy the criterion, which establishes a continuous version.Diffusion and random walksBroader topic: It models the continuous limit of random walks and particle motion.Kosambi–Karhunen–Loève theoremBroader topic: Its covariance eigenfunctions yield an explicit expansion useful for approximation and simulation.